03412_03421_30412_30421_34012_34021<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 114, 596, 3298, 18944, 111778, 673220, 4121434, 25570144, 160415810, 1015899124, 6485782866, 41698225920, 269735407170, 1754332330244, 11465139694762, 75252567550880, 495851249128066, 3278760949419764, 21749946173057026, 144702650959854464, 965293531956318946, 6455267260210061252, 43267215303773301498, 290616713169640562400, 1955842939532896306242, 13186837427427729377140, 89061083165066292105266, 602460214294988929154560, 4081489885631942814133378, 27689799482394888480557060, 188103058780867095947509066, 1279422981542485152102130464, 8712537855174324458179510914, 59396365577313030020250046836, 405353865950223976265306597602, 2769137749970459872146687722624, 18935155951953525435331574989858, 129594679893784665321234844581316, 887729656841841390920561791180442, 6086002979537358565684736717352544, 41756612410330305422127709857802818, 286711352214032906274237870325256436, 1970048432205973994288160175106797842, 13545905820241381771524261324738157824, 93202145873849418994659446959437136578, 641680464123440535050565034146461781252, 4420544858704239651499333681057246054890, 30470988366870261681547342633881963697824, 210155763639575882582069602651517618518146, 1450210057895197163032562016833567785986548, 10012595969233063584443159124841622791243714, 69164054041360184493311740031171751476090240, 477996150950420152545811660237664391216173410, 3304998074771315154176041052211335695244378564, 22861983129995642615032150970590027836967770682, 158214340405283153118150996822815148710629757408, 1095369778433246271670572284476746508498351106626, 7586695356639126880179504880949533336407724621940, 52567318456841332350484923142132833155237810605042, 364371890007673543916695083008163914540654550367232, 2526588997930550584777966959273964470088093995907330, 17525890645272216710232261423694119191102435338872836, 121612060690424435218986105382568143889290018558503562, 844150248601158882028807422709158193643492993488074272, 5861450650905907547099701052882418666619391208175475842, 40712579030139625963940907187042108925432010157799209076, 282869628586154616847705155417553206381969938975974177954, 1965959007651756309830473984116295321473615447920725384832, 13667510411326515692512332241949828562677612548227184050850, 95044659585013244999971198098541117464514670007995364690884, 661128760308019381243461580025082735713723578746345155556826, 4600035800990808186317109315087861482583095780348239911713120, 32014751587183300184578494528012099548229690338568671978220610, 222869108354978009763247568402483063191367725363142777884161524, 1551878062812050733622625014240607778695164600280950772242634962, 10808627846524961754331066942684190544326962471113343162139200256, 75298471281955851424758655208161425064537427996000096297671743298, 524688869454857198133822579085506986889074654064256060124671408388, 3656917846055062044689328214088332785752779660365905788114570458922, 25493171537722910926338701972263260235716852228178500001173445357984, 177756536508382444752771748482544965857274420706406776311219987928706, 1239704430000057548684482645244234360766650962541406926628865376296180, 8647677393434997789997536636677901635799140340473665478866191277129602, 60334750737129294323085370021958479361979065211098899832021304722886528, 421037051523473386207222567924353841328367537582103725176856231230152674, 2938704765869125432543044244779551068683689276323819076930040785436867524, 20515051426301301148178774307974728261127950339595268723247382164624869754, 143241380067428793787482950024624829439280321349658364472819751479898051808, 1000326785203634791687643428076696635852909470746137731254994528907855484994, 6987006539187477328337598265028354790854126093722999830097517117460814270836, 48810655644086877788096715178734170897529874234545872967135272914283892559794, 341044313394054553433606768686920889837230452937349789668286303226540844874240, 2383296919602969628063478020065893651164536164957139168524004975831159156385154, 16657706052690300696952710271736931882862230307772599470856055957957510210887684, 116444912732089937096679992313352173035707782299420628109164473914508248858986442, 814128112348200011756490585504765286479707604273092790802853659252653429281601824<br /><br />


















  Specification 1<br />
  Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://permpal.com/tree/24606/<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[14,x]*F[4,x]<br />
  
    F[4,x] = F[1,x]+F[36,x]+F[5,x]<br />
  
    F[5,x] = F[14,x]*F[6,x]<br />
  
    F[6,x] = F[4,x]+F[7,x]<br />
  
    F[7,x] = F[30,x]+F[33,x]+F[8,x]+F[9,x]<br />
  
    F[8,x] = 0<br />
  
    F[9,x] = F[10,x]*F[14,x]<br />
  
    F[10,x] = F[11,x,1]<br />
  
    F[11,x,k[0]] = F[12,x,k[0]]+F[18,x,k[0]]<br />
  
    F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[15,x,k[0]]+F[16,x,k[0]]<br />
  
    F[13,x,k[0]] = F[11,x,k[0]]*F[14,x]<br />
  
    F[14,x] = x<br />
  
    F[15,x,k[0]] = F[11,x,k[0]]*F[14,x]<br />
  
    F[16,x,k[0]] = F[12,x,k[0]]*F[17,x,k[0]]<br />
  
    F[17,x,k[0]] = k[0]*x<br />
  
    F[18,x,k[0]] = F[19,x,k[0]]<br />
  
    F[19,x,k[0]] = F[20,x,k[0]]+F[22,x,k[0]]+F[24,x,k[0]]+F[26,x,k[0]]+F[8,x]<br />
  
    F[20,x,k[0]] = F[14,x]*F[21,x,k[0]]<br />
  
    F[21,x,k[0]] = 1/(-1+k[0])*(F[11,x,k[0]]*k[0]-F[11,x,1])<br />
  
    F[22,x,k[0]] = F[14,x]*F[23,x,k[0]]<br />
  
    F[23,x,k[0]] = 1/(-1+k[0])*(F[18,x,k[0]]*k[0]-F[18,x,1])<br />
  
    F[24,x,k[0]] = F[25,x,k[0]]<br />
  
    F[25,x,k[0]] = F[14,x]*F[19,x,k[0]]<br />
  
    F[26,x,k[0]] = F[27,x,k[0]]<br />
  
    F[27,x,k[0]] = F[17,x,k[0]]*F[28,x,k[0]]<br />
  
    F[28,x,k[0]] = F[13,x,k[0]]+F[27,x,k[0]]+F[29,x,k[0]]+F[8,x]<br />
  
    F[29,x,k[0]] = F[14,x]*F[18,x,k[0]]<br />
  
    F[30,x] = F[14,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = F[18,x,1]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[14,x]*F[35,x]<br />
  
    F[35,x] = F[7,x]<br />
  
    F[36,x] = F[14,x]*F[6,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{14}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)+F_{8}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = 0<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{14}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x , 1\right)<br />
  
    F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{18}\! \left(x , y\right)<br />
  
    F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{15}\! \left(x , y\right)+F_{16}\! \left(x , y\right)<br />
  
    F_{13}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = x<br />
  
    F_{15}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x \right)<br />
  
    F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{17}\! \left(x , y\right)<br />
  
    F_{17}\! \left(x , y\right) = y x<br />
  
    F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)<br />
  
    F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{22}\! \left(x , y\right)+F_{24}\! \left(x , y\right)+F_{26}\! \left(x , y\right)+F_{8}\! \left(x \right)<br />
  
    F_{20}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{21}\! \left(x , y\right)<br />
  
    F_{21}\! \left(x , y\right) = -\frac{-F_{11}\! \left(x , y\right) y +F_{11}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{22}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{23}\! \left(x , y\right)<br />
  
    F_{23}\! \left(x , y\right) = -\frac{-y F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)<br />
  
    F_{25}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{19}\! \left(x , y\right)<br />
  
    F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)<br />
  
    F_{27}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{28}\! \left(x , y\right)<br />
  
    F_{28}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{27}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{8}\! \left(x \right)<br />
  
    F_{29}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{18}\! \left(x , y\right)<br />
  
    F_{30}\! \left(x \right) = F_{14}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{18}\! \left(x , 1\right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{14}\! \left(x \right) F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{14}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_14(x)*F_4(x))<br />
  
    Eq(F_4(x), F_1(x) + F_36(x) + F_5(x))<br />
  
    Eq(F_5(x), F_14(x)*F_6(x))<br />
  
    Eq(F_6(x), F_4(x) + F_7(x))<br />
  
    Eq(F_7(x), F_30(x) + F_33(x) + F_8(x) + F_9(x))<br />
  
    Eq(F_8(x), 0)<br />
  
    Eq(F_9(x), F_10(x)*F_14(x))<br />
  
    Eq(F_10(x), F_11(x, 1))<br />
  
    Eq(F_11(x, k_0), F_12(x, k_0) + F_18(x, k_0))<br />
  
    Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_15(x, k_0) + F_16(x, k_0))<br />
  
    Eq(F_13(x, k_0), F_11(x, k_0)*F_14(x))<br />
  
    Eq(F_14(x), x)<br />
  
    Eq(F_15(x, k_0), F_11(x, k_0)*F_14(x))<br />
  
    Eq(F_16(x, k_0), F_12(x, k_0)*F_17(x, k_0))<br />
  
    Eq(F_17(x, k_0), k_0*x)<br />
  
    Eq(F_18(x, k_0), F_19(x, k_0))<br />
  
    Eq(F_19(x, k_0), F_20(x, k_0) + F_22(x, k_0) + F_24(x, k_0) + F_26(x, k_0) + F_8(x))<br />
  
    Eq(F_20(x, k_0), F_14(x)*F_21(x, k_0))<br />
  
    Eq(F_21(x, k_0), (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))<br />
  
    Eq(F_22(x, k_0), F_14(x)*F_23(x, k_0))<br />
  
    Eq(F_23(x, k_0), (k_0*F_18(x, k_0) - F_18(x, 1))/(k_0 - 1))<br />
  
    Eq(F_24(x, k_0), F_25(x, k_0))<br />
  
    Eq(F_25(x, k_0), F_14(x)*F_19(x, k_0))<br />
  
    Eq(F_26(x, k_0), F_27(x, k_0))<br />
  
    Eq(F_27(x, k_0), F_17(x, k_0)*F_28(x, k_0))<br />
  
    Eq(F_28(x, k_0), F_13(x, k_0) + F_27(x, k_0) + F_29(x, k_0) + F_8(x))<br />
  
    Eq(F_29(x, k_0), F_14(x)*F_18(x, k_0))<br />
  
    Eq(F_30(x), F_14(x)*F_31(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_18(x, 1))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_14(x)*F_35(x))<br />
  
    Eq(F_35(x), F_7(x))<br />
  
    Eq(F_36(x), F_14(x)*F_6(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_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;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}], [{&#34;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, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;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;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: 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0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], 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&#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 3, &#34;col_idx&#34;: null, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 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[[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_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, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, &#34;children&#34;: 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[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4], [0, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, 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1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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[0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}]}, {&#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;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_and_col_placements_req_corrob_symmetries<br />
  Tree: http://permpal.com/tree/25135/<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[4,x]*F[5,x]<br />
  
    F[4,x] = x<br />
  
    F[5,x] = F[1,x]+F[561,x]+F[6,x]<br />
  
    F[6,x] = F[4,x]*F[7,x]<br />
  
    F[7,x] = F[5,x]+F[8,x]<br />
  
    F[8,x] = F[9,x]<br />
  
    F[9,x] = F[10,x]*F[4,x]<br />
  
    F[10,x] = F[11,x]+F[552,x]<br />
  
    F[11,x] = -F[549,x]+F[12,x]<br />
  
    F[12,x] = F[13,x]+F[521,x]<br />
  
    F[13,x] = F[14,x]+F[514,x]<br />
  
    F[14,x] = F[15,x]*F[16,x]<br />
  
    F[15,x] = 2+F[15,x]^2+(-2+x)*F[15,x]<br />
  
    F[16,x] = F[1,x]+F[17,x]+F[19,x]+F[488,x]<br />
  
    F[17,x] = F[18,x]*F[4,x]<br />
  
    F[18,x] = 1/F[4,x]*F[19,x]<br />
  
    F[19,x] = -F[1,x]-F[20,x]-F[488,x]+F[7,x]<br />
  
    F[20,x] = F[21,x]*F[4,x]<br />
  
    F[21,x] = F[22,x]+F[7,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[24,x]*F[4,x]<br />
  
    F[24,x] = F[25,x]+F[486,x]<br />
  
    F[25,x] = F[26,x]+F[484,x]<br />
  
    F[26,x] = F[27,x]+F[449,x]<br />
  
    F[27,x] = F[28,x]*F[7,x]<br />
  
    F[28,x] = F[15,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[31,x]*F[4,x]*F[448,x]<br />
  
    F[31,x] = -F[331,x]+F[32,x]<br />
  
    F[32,x] = 1/F[4,x]*F[33,x]<br />
  
    F[33,x] = -F[1,x]-F[36,x]+F[34,x]<br />
  
    F[34,x] = 1/F[4,x]*F[35,x]<br />
  
    F[35,x] = F[2,x]<br />
  
    F[36,x] = F[37,x]*F[4,x]<br />
  
    F[37,x] = F[38,x]+F[5,x]<br />
  
    F[38,x] = F[39,x]+F[45,x]<br />
  
    F[39,x] = F[2,x]+F[40,x]<br />
  
    F[40,x] = F[41,x]+F[42,x]+F[44,x]<br />
  
    F[41,x] = 0<br />
  
    F[42,x] = F[4,x]*F[43,x]<br />
  
    F[43,x] = -F[5,x]+F[32,x]<br />
  
    F[44,x] = F[38,x]*F[4,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[4,x]*F[47,x]<br />
  
    F[47,x] = F[48,x]+F[56,x]<br />
  
    F[48,x] = F[49,x]*F[53,x]<br />
  
    F[49,x] = F[41,x]+F[50,x]+F[52,x]<br />
  
    F[50,x] = F[4,x]*F[51,x]<br />
  
    F[51,x] = F[45,x]+F[49,x]<br />
  
    F[52,x] = F[32,x]*F[4,x]<br />
  
    F[53,x] = F[1,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[4,x]*F[53,x]<br />
  
    F[56,x] = F[441,x]+F[57,x]<br />
  
    F[57,x] = F[437,x]+F[58,x]<br />
  
    F[58,x] = F[41,x]+F[59,x]+F[60,x]<br />
  
    F[59,x] = F[4,x]*F[57,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[4,x]*F[62,x]<br />
  
    F[62,x] = F[435,x]+F[63,x]<br />
  
    F[63,x] = F[423,x]+F[424,x]+F[64,x]<br />
  
    F[64,x] = F[1,x]+F[416,x]+F[422,x]+F[65,x]<br />
  
    F[65,x] = F[4,x]*F[66,x]<br />
  
    F[66,x] = F[64,x]+F[67,x]<br />
  
    F[67,x] = F[68,x]<br />
  
    F[68,x] = -F[32,x]+F[69,x]<br />
  
    F[69,x] = 1/F[4,x]*F[70,x]<br />
  
    F[70,x] = -F[1,x]-F[415,x]-F[71,x]+F[37,x]<br />
  
    F[71,x] = F[4,x]*F[72,x]<br />
  
    F[72,x] = F[37,x]+F[73,x]<br />
  
    F[73,x] = F[74,x]<br />
  
    F[74,x] = F[75,x]+F[81,x]<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[4,x]*F[53,x]*F[77,x]<br />
  
    F[77,x] = F[78,x]+F[80,x]<br />
  
    F[78,x] = F[53,x]+F[79,x]<br />
  
    F[79,x] = F[76,x]<br />
  
    F[80,x] = F[74,x]<br />
  
    F[81,x] = 1/F[53,x]*F[82,x]<br />
  
    F[82,x] = -F[117,x]+F[83,x]<br />
  
    F[83,x] = F[84,x]<br />
  
    F[84,x] = F[4,x]*F[85,x]<br />
  
    F[85,x] = F[86,x]+F[96,x]<br />
  
    F[86,x] = 1/F[4,x]*F[87,x]<br />
  
    F[87,x] = F[88,x]<br />
  
    F[88,x] = F[41,x]+F[89,x]+F[92,x]+F[94,x]<br />
  
    F[89,x] = F[4,x]*F[90,x]<br />
  
    F[90,x] = 1/F[4,x]*F[91,x]<br />
  
    F[91,x] = F[43,x]<br />
  
    F[92,x] = F[93,x]<br />
  
    F[93,x] = F[4,x]*F[53,x]*F[68,x]<br />
  
    F[94,x] = F[95,x]<br />
  
    F[95,x] = F[4,x]*F[88,x]<br />
  
    F[96,x] = F[97,x]<br />
  
    F[97,x] = F[103,x]*F[4,x]*F[98,x]<br />
  
    F[98,x] = F[102,x]+F[78,x]+F[99,x]<br />
  
    F[99,x] = F[100,x]*F[4,x]<br />
  
    F[100,x] = 1/F[4,x]*F[101,x]<br />
  
    F[101,x] = F[74,x]<br />
  
    F[102,x] = F[4,x]*F[98,x]<br />
  
    F[103,x] = F[104,x]+F[112,x]+F[113,x]<br />
  
    F[104,x] = F[105,x]+F[15,x]<br />
  
    F[105,x] = F[106,x]+F[110,x]+F[41,x]<br />
  
    F[106,x] = F[107,x]*F[4,x]<br />
  
    F[107,x] = F[104,x]+F[108,x]<br />
  
    F[108,x] = F[109,x]<br />
  
    F[109,x] = F[103,x]*F[4,x]<br />
  
    F[110,x] = -F[41,x]-F[6,x]+F[111,x]<br />
  
    F[111,x] = -F[15,x]+F[5,x]<br />
  
    F[112,x] = F[103,x]*F[4,x]<br />
  
    F[113,x] = F[114,x]*F[4,x]<br />
  
    F[114,x] = 1/F[4,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = -F[16,x]+F[18,x]<br />
  
    F[117,x] = F[118,x]<br />
  
    F[118,x] = F[119,x]+F[132,x]<br />
  
    F[119,x] = F[120,x]*F[79,x]<br />
  
    F[120,x] = F[1,x]+F[121,x]<br />
  
    F[121,x] = F[122,x]<br />
  
    F[122,x] = F[123,x]*F[4,x]<br />
  
    F[123,x] = F[124,x]+F[125,x]<br />
  
    F[124,x] = F[1,x]+F[4,x]<br />
  
    F[125,x] = F[121,x]+F[126,x]<br />
  
    F[126,x] = F[127,x]+F[131,x]+F[41,x]<br />
  
    F[127,x] = F[128,x]*F[4,x]<br />
  
    F[128,x] = F[129,x]+F[130,x]<br />
  
    F[129,x] = F[4,x]<br />
  
    F[130,x] = F[126,x]<br />
  
    F[131,x] = F[121,x]*F[4,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]*F[4,x]<br />
  
    F[134,x] = F[135,x]+F[411,x]<br />
  
    F[135,x] = F[136,x]*F[79,x]<br />
  
    F[136,x] = 1/F[4,x]*F[137,x]<br />
  
    F[137,x] = F[138,x]<br />
  
    F[138,x] = F[139,x]+F[143,x]+F[41,x]<br />
  
    F[139,x] = F[140,x]*F[4,x]<br />
  
    F[140,x] = -F[396,x]+F[141,x]<br />
  
    F[141,x] = 1/F[4,x]*F[142,x]<br />
  
    F[142,x] = -F[1,x]-F[143,x]+F[104,x]<br />
  
    F[143,x] = F[144,x]*F[4,x]<br />
  
    F[144,x] = F[104,x]+F[145,x]<br />
  
    F[145,x] = F[146,x]<br />
  
    F[146,x] = F[147,x]*F[4,x]<br />
  
    F[147,x] = F[148,x]+F[337,x]<br />
  
    F[148,x] = F[149,x]+F[278,x]<br />
  
    F[149,x] = F[150,x]+F[218,x]<br />
  
    F[150,x] = 1/F[4,x]*F[151,x]<br />
  
    F[151,x] = -F[1,x]-F[242,x]+F[152,x]<br />
  
    F[152,x] = F[0,x]+F[153,x]<br />
  
    F[153,x] = F[154,x]<br />
  
    F[154,x] = F[155,x]*F[4,x]<br />
  
    F[155,x] = F[156,x]+F[240,x]<br />
  
    F[156,x] = F[0,x]+F[157,x]+F[239,x]<br />
  
    F[157,x] = F[158,x]<br />
  
    F[158,x] = F[159,x]*F[4,x]<br />
  
    F[159,x] = F[160,x]+F[231,x]<br />
  
    F[160,x] = F[161,x]*F[34,x]<br />
  
    F[161,x] = F[162,x]+F[167,x]<br />
  
    F[162,x] = F[1,x]+F[163,x]<br />
  
    F[163,x] = F[164,x]*F[4,x]<br />
  
    F[164,x] = F[165,x]+F[53,x]<br />
  
    F[165,x] = F[166,x]<br />
  
    F[166,x] = F[162,x]*F[164,x]*F[4,x]*F[53,x]<br />
  
    F[167,x] = F[168,x]+F[198,x]+F[41,x]<br />
  
    F[168,x] = F[169,x]*F[4,x]<br />
  
    F[169,x] = F[161,x]+F[170,x]<br />
  
    F[170,x] = F[171,x]<br />
  
    F[171,x] = F[172,x]*F[192,x]*F[4,x]<br />
  
    F[172,x] = F[173,x]+F[53,x]<br />
  
    F[173,x] = F[121,x]+F[174,x]<br />
  
    F[174,x] = F[175,x]+F[191,x]+F[41,x]<br />
  
    F[175,x] = F[176,x]*F[4,x]<br />
  
    F[176,x] = F[177,x]+F[182,x]<br />
  
    F[177,x] = F[178,x]+F[54,x]<br />
  
    F[178,x] = F[179,x]+F[180,x]+F[41,x]<br />
  
    F[179,x] = F[4,x]*F[54,x]<br />
  
    F[180,x] = F[181,x]*F[4,x]<br />
  
    F[181,x] = F[178,x]+F[4,x]<br />
  
    F[182,x] = F[174,x]+F[183,x]<br />
  
    F[183,x] = F[184,x]+F[188,x]+F[189,x]+F[41,x]<br />
  
    F[184,x] = F[185,x]*F[4,x]<br />
  
    F[185,x] = F[186,x]+F[187,x]<br />
  
    F[186,x] = F[178,x]<br />
  
    F[187,x] = F[183,x]<br />
  
    F[188,x] = F[174,x]*F[4,x]<br />
  
    F[189,x] = F[190,x]*F[4,x]<br />
  
    F[190,x] = F[126,x]+F[183,x]<br />
  
    F[191,x] = F[173,x]*F[4,x]<br />
  
    F[192,x] = F[193,x]+F[53,x]<br />
  
    F[193,x] = F[194,x]+F[54,x]<br />
  
    F[194,x] = F[195,x]+F[197,x]+F[41,x]<br />
  
    F[195,x] = F[196,x]*F[4,x]<br />
  
    F[196,x] = F[194,x]+F[54,x]<br />
  
    F[197,x] = F[193,x]*F[4,x]<br />
  
    F[198,x] = F[199,x]*F[4,x]<br />
  
    F[199,x] = -F[164,x]+F[200,x]<br />
  
    F[200,x] = 1/F[4,x]*F[201,x]<br />
  
    F[201,x] = -F[1,x]-F[202,x]-F[205,x]+F[150,x]<br />
  
    F[202,x] = F[203,x]*F[4,x]<br />
  
    F[203,x] = F[150,x]+F[204,x]<br />
  
    F[204,x] = F[170,x]<br />
  
    F[205,x] = F[206,x]*F[4,x]<br />
  
    F[206,x] = -F[217,x]+F[207,x]<br />
  
    F[207,x] = F[149,x]+F[208,x]<br />
  
    F[208,x] = F[209,x]<br />
  
    F[209,x] = F[207,x]*F[210,x]*F[4,x]<br />
  
    F[210,x] = F[162,x]+F[211,x]<br />
  
    F[211,x] = F[212,x]+F[54,x]<br />
  
    F[212,x] = F[213,x]<br />
  
    F[213,x] = F[214,x]*F[4,x]<br />
  
    F[214,x] = F[215,x]+F[216,x]<br />
  
    F[215,x] = F[162,x]*F[211,x]<br />
  
    F[216,x] = F[210,x]*F[211,x]<br />
  
    F[217,x] = F[218,x]+F[229,x]<br />
  
    F[218,x] = F[219,x]+F[227,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = F[221,x]*F[4,x]<br />
  
    F[221,x] = 1/F[4,x]*F[222,x]<br />
  
    F[222,x] = -F[161,x]-F[223,x]+F[136,x]<br />
  
    F[223,x] = F[224,x]<br />
  
    F[224,x] = F[225,x]*F[4,x]<br />
  
    F[225,x] = 1/F[4,x]*F[226,x]<br />
  
    F[226,x] = F[140,x]<br />
  
    F[227,x] = F[228,x]<br />
  
    F[228,x] = F[217,x]*F[4,x]*F[53,x]<br />
  
    F[229,x] = F[230,x]<br />
  
    F[230,x] = F[210,x]*F[217,x]*F[4,x]<br />
  
    F[231,x] = F[232,x]+F[234,x]+F[235,x]+F[41,x]<br />
  
    F[232,x] = F[233,x]<br />
  
    F[233,x] = F[231,x]*F[4,x]<br />
  
    F[234,x] = F[161,x]*F[34,x]*F[4,x]<br />
  
    F[235,x] = F[236,x]*F[4,x]<br />
  
    F[236,x] = F[231,x]+F[237,x]<br />
  
    F[237,x] = F[238,x]<br />
  
    F[238,x] = F[210,x]*F[236,x]*F[4,x]<br />
  
    F[239,x] = F[153,x]<br />
  
    F[240,x] = F[241,x]<br />
  
    F[241,x] = F[155,x]*F[210,x]*F[4,x]<br />
  
    F[242,x] = F[243,x]*F[4,x]<br />
  
    F[243,x] = F[244,x]+F[5,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[246,x]*F[4,x]<br />
  
    F[246,x] = F[247,x]+F[268,x]<br />
  
    F[247,x] = F[248,x]+F[251,x]<br />
  
    F[248,x] = F[150,x]+F[249,x]<br />
  
    F[249,x] = F[250,x]<br />
  
    F[250,x] = F[246,x]*F[4,x]<br />
  
    F[251,x] = F[252,x]+F[266,x]<br />
  
    F[252,x] = F[253,x]+F[265,x]+F[49,x]<br />
  
    F[253,x] = F[254,x]<br />
  
    F[254,x] = F[255,x]*F[4,x]<br />
  
    F[255,x] = F[256,x]+F[257,x]<br />
  
    F[256,x] = F[161,x]*F[51,x]<br />
  
    F[257,x] = F[258,x]+F[260,x]+F[261,x]+F[41,x]<br />
  
    F[258,x] = F[259,x]<br />
  
    F[259,x] = F[257,x]*F[4,x]<br />
  
    F[260,x] = F[161,x]*F[4,x]*F[51,x]<br />
  
    F[261,x] = F[262,x]*F[4,x]<br />
  
    F[262,x] = F[257,x]+F[263,x]<br />
  
    F[263,x] = F[264,x]<br />
  
    F[264,x] = F[210,x]*F[262,x]*F[4,x]<br />
  
    F[265,x] = F[251,x]*F[4,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[210,x]*F[251,x]*F[4,x]<br />
  
    F[268,x] = F[269,x]+F[276,x]<br />
  
    F[269,x] = F[270,x]+F[273,x]+F[275,x]+F[41,x]<br />
  
    F[270,x] = F[271,x]<br />
  
    F[271,x] = F[272,x]*F[4,x]<br />
  
    F[272,x] = F[269,x]<br />
  
    F[273,x] = F[274,x]<br />
  
    F[274,x] = F[161,x]*F[32,x]*F[4,x]<br />
  
    F[275,x] = F[268,x]*F[4,x]<br />
  
    F[276,x] = F[277,x]<br />
  
    F[277,x] = F[210,x]*F[268,x]*F[4,x]<br />
  
    F[278,x] = F[279,x]<br />
  
    F[279,x] = F[280,x]*F[4,x]<br />
  
    F[280,x] = F[281,x]+F[284,x]<br />
  
    F[281,x] = F[148,x]+F[282,x]<br />
  
    F[282,x] = F[283,x]<br />
  
    F[283,x] = F[148,x]*F[4,x]*F[53,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[286,x]*F[4,x]*F[53,x]<br />
  
    F[286,x] = F[287,x]+F[335,x]<br />
  
    F[287,x] = 1/F[40,x]*F[288,x]<br />
  
    F[288,x] = F[289,x]<br />
  
    F[289,x] = -F[334,x]+F[290,x]<br />
  
    F[290,x] = F[291,x]<br />
  
    F[291,x] = F[292,x]*F[4,x]<br />
  
    F[292,x] = 1/F[4,x]*F[293,x]<br />
  
    F[293,x] = F[294,x]<br />
  
    F[294,x] = -F[319,x]+F[295,x]<br />
  
    F[295,x] = 1/F[4,x]*F[296,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[298,x]*F[4,x]<br />
  
    F[298,x] = F[299,x]+F[312,x]<br />
  
    F[299,x] = F[300,x]+F[305,x]+F[41,x]<br />
  
    F[300,x] = F[301,x]<br />
  
    F[301,x] = F[302,x]*F[4,x]<br />
  
    F[302,x] = F[303,x]+F[304,x]<br />
  
    F[303,x] = F[161,x]*F[37,x]<br />
  
    F[304,x] = F[231,x]+F[257,x]<br />
  
    F[305,x] = F[306,x]*F[4,x]<br />
  
    F[306,x] = F[299,x]+F[307,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[309,x]*F[4,x]<br />
  
    F[309,x] = F[310,x]+F[311,x]<br />
  
    F[310,x] = F[162,x]*F[306,x]<br />
  
    F[311,x] = F[211,x]*F[247,x]<br />
  
    F[312,x] = -F[316,x]+F[313,x]<br />
  
    F[313,x] = 1/F[4,x]*F[314,x]<br />
  
    F[314,x] = F[315,x]<br />
  
    F[315,x] = -F[153,x]+F[43,x]<br />
  
    F[316,x] = F[252,x]+F[317,x]<br />
  
    F[317,x] = F[318,x]<br />
  
    F[318,x] = F[210,x]*F[313,x]*F[4,x]<br />
  
    F[319,x] = F[167,x]*F[320,x]<br />
  
    F[320,x] = F[15,x]+F[321,x]<br />
  
    F[321,x] = F[322,x]<br />
  
    F[322,x] = F[323,x]*F[4,x]<br />
  
    F[323,x] = F[324,x]+F[328,x]+F[5,x]<br />
  
    F[324,x] = F[325,x]<br />
  
    F[325,x] = F[326,x]*F[4,x]<br />
  
    F[326,x] = 1/F[4,x]*F[327,x]<br />
  
    F[327,x] = F[38,x]<br />
  
    F[328,x] = F[329,x]*F[4,x]<br />
  
    F[329,x] = 1/F[4,x]*F[330,x]<br />
  
    F[330,x] = F[331,x]<br />
  
    F[331,x] = 1/F[4,x]*F[332,x]<br />
  
    F[332,x] = -F[333,x]-F[41,x]+F[111,x]<br />
  
    F[333,x] = F[37,x]*F[4,x]<br />
  
    F[334,x] = F[2,x]*F[221,x]<br />
  
    F[335,x] = F[336,x]<br />
  
    F[336,x] = F[210,x]*F[286,x]*F[4,x]<br />
  
    F[337,x] = F[338,x]<br />
  
    F[338,x] = F[339,x]*F[4,x]<br />
  
    F[339,x] = F[340,x]+F[385,x]<br />
  
    F[340,x] = 1/F[4,x]*F[341,x]<br />
  
    F[341,x] = F[342,x]<br />
  
    F[342,x] = -F[148,x]+F[343,x]<br />
  
    F[343,x] = F[344,x]+F[346,x]<br />
  
    F[344,x] = F[345,x]<br />
  
    F[345,x] = F[104,x]*F[162,x]*F[31,x]<br />
  
    F[346,x] = F[347,x]<br />
  
    F[347,x] = F[348,x]*F[4,x]<br />
  
    F[348,x] = F[349,x]+F[383,x]<br />
  
    F[349,x] = F[104,x]*F[350,x]<br />
  
    F[350,x] = 1/F[4,x]*F[351,x]<br />
  
    F[351,x] = F[352,x]<br />
  
    F[352,x] = F[353,x]+F[378,x]<br />
  
    F[353,x] = F[354,x]+F[358,x]+F[377,x]+F[41,x]<br />
  
    F[354,x] = F[355,x]*F[4,x]<br />
  
    F[355,x] = F[144,x]+F[356,x]<br />
  
    F[356,x] = F[357,x]<br />
  
    F[357,x] = F[287,x]*F[4,x]<br />
  
    F[358,x] = -F[359,x]-F[377,x]-F[41,x]+F[331,x]<br />
  
    F[359,x] = F[360,x]*F[4,x]<br />
  
    F[360,x] = 1/F[4,x]*F[361,x]<br />
  
    F[361,x] = -F[1,x]-F[362,x]-F[376,x]+F[7,x]<br />
  
    F[362,x] = F[363,x]*F[4,x]<br />
  
    F[363,x] = 1/F[4,x]*F[364,x]<br />
  
    F[364,x] = -F[1,x]-F[365,x]-F[369,x]+F[37,x]<br />
  
    F[365,x] = F[366,x]*F[4,x]<br />
  
    F[366,x] = F[32,x]+F[367,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[210,x]*F[366,x]*F[4,x]<br />
  
    F[369,x] = -F[1,x]-F[370,x]-F[371,x]+F[141,x]<br />
  
    F[370,x] = F[210,x]*F[4,x]<br />
  
    F[371,x] = F[372,x]*F[4,x]<br />
  
    F[372,x] = 1/F[4,x]*F[373,x]<br />
  
    F[373,x] = -F[1,x]-F[374,x]-F[375,x]+F[107,x]<br />
  
    F[374,x] = F[210,x]*F[4,x]<br />
  
    F[375,x] = F[355,x]*F[4,x]<br />
  
    F[376,x] = F[366,x]*F[4,x]<br />
  
    F[377,x] = F[352,x]*F[4,x]<br />
  
    F[378,x] = F[379,x]<br />
  
    F[379,x] = F[380,x]*F[4,x]<br />
  
    F[380,x] = F[381,x]+F[382,x]<br />
  
    F[381,x] = F[162,x]*F[352,x]<br />
  
    F[382,x] = F[149,x]*F[211,x]<br />
  
    F[383,x] = F[286,x]*F[384,x]<br />
  
    F[384,x] = -F[104,x]+F[141,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = F[286,x]*F[387,x]*F[4,x]<br />
  
    F[387,x] = 1/F[4,x]*F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = -F[104,x]-F[392,x]+F[390,x]<br />
  
    F[390,x] = 1/F[4,x]*F[391,x]<br />
  
    F[391,x] = F[138,x]<br />
  
    F[392,x] = F[393,x]<br />
  
    F[393,x] = F[394,x]*F[4,x]<br />
  
    F[394,x] = 1/F[4,x]*F[395,x]<br />
  
    F[395,x] = F[140,x]<br />
  
    F[396,x] = F[120,x]+F[397,x]<br />
  
    F[397,x] = F[398,x]+F[54,x]<br />
  
    F[398,x] = F[399,x]<br />
  
    F[399,x] = F[4,x]*F[400,x]<br />
  
    F[400,x] = F[401,x]+F[404,x]<br />
  
    F[401,x] = F[402,x]+F[54,x]<br />
  
    F[402,x] = F[403,x]<br />
  
    F[403,x] = F[4,x]*F[54,x]<br />
  
    F[404,x] = F[398,x]+F[405,x]<br />
  
    F[405,x] = 2*F[41,x]+F[406,x]+F[410,x]<br />
  
    F[406,x] = F[4,x]*F[407,x]<br />
  
    F[407,x] = F[408,x]+F[409,x]<br />
  
    F[408,x] = F[402,x]<br />
  
    F[409,x] = F[405,x]<br />
  
    F[410,x] = F[398,x]*F[4,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[103,x]*F[413,x]<br />
  
    F[413,x] = F[414,x]+F[79,x]<br />
  
    F[414,x] = F[81,x]<br />
  
    F[415,x] = F[4,x]*F[72,x]<br />
  
    F[416,x] = F[4,x]*F[417,x]<br />
  
    F[417,x] = 1/F[4,x]*F[418,x]<br />
  
    F[418,x] = -F[1,x]-F[420,x]-F[421,x]+F[419,x]<br />
  
    F[419,x] = F[34,x]+F[74,x]<br />
  
    F[420,x] = F[4,x]*F[69,x]<br />
  
    F[421,x] = F[4,x]*F[72,x]<br />
  
    F[422,x] = F[4,x]*F[64,x]<br />
  
    F[423,x] = F[4,x]*F[63,x]<br />
  
    F[424,x] = F[425,x]<br />
  
    F[425,x] = F[4,x]*F[426,x]<br />
  
    F[426,x] = F[427,x]+F[62,x]<br />
  
    F[427,x] = F[428,x]<br />
  
    F[428,x] = F[4,x]*F[429,x]<br />
  
    F[429,x] = 1/F[4,x]*F[430,x]<br />
  
    F[430,x] = F[431,x]<br />
  
    F[431,x] = F[4,x]*F[432,x]*F[53,x]<br />
  
    F[432,x] = 1/F[4,x]*F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = -F[64,x]+F[417,x]<br />
  
    F[435,x] = F[436,x]<br />
  
    F[436,x] = F[210,x]*F[4,x]*F[62,x]<br />
  
    F[437,x] = F[438,x]*F[53,x]<br />
  
    F[438,x] = F[439,x]<br />
  
    F[439,x] = F[210,x]*F[4,x]*F[440,x]<br />
  
    F[440,x] = F[438,x]+F[49,x]<br />
  
    F[441,x] = F[442,x]<br />
  
    F[442,x] = F[210,x]*F[4,x]*F[443,x]<br />
  
    F[443,x] = F[441,x]+F[444,x]<br />
  
    F[444,x] = F[43,x]+F[445,x]<br />
  
    F[445,x] = F[446,x]<br />
  
    F[446,x] = F[4,x]*F[447,x]<br />
  
    F[447,x] = F[443,x]+F[57,x]<br />
  
    F[448,x] = F[31,x]<br />
  
    F[449,x] = F[450,x]+F[452,x]<br />
  
    F[450,x] = F[28,x]*F[451,x]<br />
  
    F[451,x] = 1/F[4,x]*F[110,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[4,x]*F[454,x]<br />
  
    F[454,x] = F[455,x]+F[461,x]<br />
  
    F[455,x] = F[451,x]*F[456,x]<br />
  
    F[456,x] = 1/F[4,x]*F[457,x]<br />
  
    F[457,x] = -F[28,x]-F[458,x]+F[323,x]<br />
  
    F[458,x] = F[4,x]*F[459,x]<br />
  
    F[459,x] = 1/F[4,x]*F[460,x]<br />
  
    F[460,x] = F[451,x]<br />
  
    F[461,x] = F[462,x]<br />
  
    F[462,x] = F[114,x]*F[4,x]*F[463,x]<br />
  
    F[463,x] = 1/F[4,x]*F[464,x]<br />
  
    F[464,x] = F[465,x]<br />
  
    F[465,x] = -F[466,x]-F[467,x]-F[476,x]+F[326,x]<br />
  
    F[466,x] = F[162,x]*F[31,x]<br />
  
    F[467,x] = F[4,x]*F[468,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[162,x]*F[329,x]<br />
  
    F[470,x] = F[471,x]<br />
  
    F[471,x] = F[162,x]*F[4,x]*F[472,x]*F[53,x]<br />
  
    F[472,x] = F[473,x]+F[474,x]<br />
  
    F[473,x] = F[162,x]*F[366,x]<br />
  
    F[474,x] = F[475,x]<br />
  
    F[475,x] = F[162,x]*F[210,x]*F[4,x]*F[472,x]<br />
  
    F[476,x] = F[477,x]<br />
  
    F[477,x] = F[4,x]*F[478,x]<br />
  
    F[478,x] = 1/F[4,x]*F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = 1/F[4,x]*F[481,x]<br />
  
    F[481,x] = -F[365,x]-F[41,x]-F[482,x]+F[38,x]<br />
  
    F[482,x] = F[4,x]*F[483,x]<br />
  
    F[483,x] = -F[7,x]+F[363,x]<br />
  
    F[484,x] = F[485,x]<br />
  
    F[485,x] = F[114,x]*F[366,x]*F[4,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = F[114,x]*F[360,x]*F[4,x]<br />
  
    F[488,x] = F[4,x]*F[489,x]<br />
  
    F[489,x] = F[16,x]+F[490,x]<br />
  
    F[490,x] = F[491,x]<br />
  
    F[491,x] = F[4,x]*F[492,x]<br />
  
    F[492,x] = F[493,x]+F[512,x]<br />
  
    F[493,x] = F[494,x]+F[507,x]<br />
  
    F[494,x] = F[495,x]+F[496,x]<br />
  
    F[495,x] = F[16,x]*F[28,x]<br />
  
    F[496,x] = 1/F[4,x]*F[497,x]<br />
  
    F[497,x] = -F[451,x]-F[505,x]+F[498,x]<br />
  
    F[498,x] = F[499,x]<br />
  
    F[499,x] = F[4,x]*F[500,x]<br />
  
    F[500,x] = F[501,x]+F[504,x]<br />
  
    F[501,x] = F[5,x]*F[502,x]<br />
  
    F[502,x] = 1/F[4,x]*F[503,x]<br />
  
    F[503,x] = F[451,x]<br />
  
    F[504,x] = F[114,x]*F[38,x]<br />
  
    F[505,x] = F[4,x]*F[506,x]<br />
  
    F[506,x] = F[449,x]+F[484,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[114,x]*F[4,x]*F[509,x]<br />
  
    F[509,x] = 1/F[4,x]*F[510,x]<br />
  
    F[510,x] = -F[1,x]-F[359,x]-F[511,x]+F[32,x]<br />
  
    F[511,x] = F[149,x]*F[4,x]<br />
  
    F[512,x] = F[513,x]<br />
  
    F[513,x] = F[114,x]*F[149,x]*F[4,x]<br />
  
    F[514,x] = F[515,x]+F[516,x]<br />
  
    F[515,x] = F[105,x]*F[28,x]<br />
  
    F[516,x] = F[517,x]<br />
  
    F[517,x] = F[4,x]*F[518,x]<br />
  
    F[518,x] = F[519,x]+F[520,x]<br />
  
    F[519,x] = F[105,x]*F[502,x]<br />
  
    F[520,x] = F[114,x]*F[384,x]<br />
  
    F[521,x] = F[41,x]+F[522,x]+F[525,x]+F[527,x]+F[547,x]<br />
  
    F[522,x] = F[523,x]<br />
  
    F[523,x] = F[4,x]*F[524,x]<br />
  
    F[524,x] = F[521,x]<br />
  
    F[525,x] = F[526,x]<br />
  
    F[526,x] = F[144,x]*F[16,x]*F[4,x]<br />
  
    F[527,x] = F[4,x]*F[528,x]<br />
  
    F[528,x] = -F[532,x]+F[529,x]<br />
  
    F[529,x] = 1/F[4,x]*F[530,x]<br />
  
    F[530,x] = F[531,x]<br />
  
    F[531,x] = -F[16,x]+F[489,x]<br />
  
    F[532,x] = F[533,x]+F[545,x]<br />
  
    F[533,x] = 1/F[4,x]*F[534,x]<br />
  
    F[534,x] = -F[104,x]-F[535,x]-F[541,x]+F[13,x]<br />
  
    F[535,x] = F[536,x]<br />
  
    F[536,x] = F[4,x]*F[537,x]<br />
  
    F[537,x] = F[538,x]+F[539,x]<br />
  
    F[538,x] = F[141,x]*F[16,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[114,x]*F[141,x]*F[4,x]<br />
  
    F[541,x] = F[4,x]*F[542,x]<br />
  
    F[542,x] = F[13,x]+F[543,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[545,x] = F[546,x]<br />
  
    F[546,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[4,x]*F[521,x]<br />
  
    F[549,x] = F[514,x]+F[550,x]<br />
  
    F[550,x] = F[551,x]<br />
  
    F[551,x] = F[114,x]*F[353,x]*F[4,x]<br />
  
    F[552,x] = F[553,x]<br />
  
    F[553,x] = F[4,x]*F[554,x]<br />
  
    F[554,x] = F[555,x]+F[559,x]<br />
  
    F[555,x] = F[556,x]+F[557,x]<br />
  
    F[556,x] = F[16,x]*F[323,x]<br />
  
    F[557,x] = F[558,x]<br />
  
    F[558,x] = F[114,x]*F[326,x]*F[4,x]<br />
  
    F[559,x] = F[560,x]<br />
  
    F[560,x] = F[114,x]*F[329,x]*F[4,x]<br />
  
    F[561,x] = F[16,x]*F[4,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_{4}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = x<br />
  
    F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{561}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{5}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{552}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = -F_{549}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{15}\! \left(x \right) x +F_{15} \left(x \right)^{2}-2 F_{15}\! \left(x \right)+2<br />
  
    F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)+F_{19}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{20}\! \left(x \right)-F_{488}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{486}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{15}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right) F_{448}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{36}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{35}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{45}\! \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_{41}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = 0<br />
  
    F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{41}\! \left(x \right)+F_{50}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{441}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{437}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{41}\! \left(x \right)+F_{59}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{435}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{423}\! \left(x \right)+F_{424}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{1}\! \left(x \right)+F_{416}\! \left(x \right)+F_{422}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{64}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{70}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{415}\! \left(x \right)-F_{71}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{37}\! \left(x \right)+F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{53}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{53}\! \left(x \right)}<br />
  
    F_{82}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{87}\! \left(x \right) = F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{41}\! \left(x \right)+F_{89}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{91}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{102}\! \left(x \right)+F_{78}\! \left(x \right)+F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{101}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{112}\! \left(x \right)+F_{113}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{15}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{110}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{104}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = -F_{41}\! \left(x \right)-F_{6}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{131}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{4}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{411}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{143}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = -F_{396}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{142}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{143}\! \left(x \right)+F_{104}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{104}\! \left(x \right)+F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{278}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{151}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{242}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{0}\! \left(x \right)+F_{153}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{240}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{0}\! \left(x \right)+F_{157}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{167}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{1}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{162}\! \left(x \right) F_{164}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{198}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{161}\! \left(x \right)+F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{192}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{121}\! \left(x \right)+F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{191}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{180}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{178}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{174}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{188}\! \left(x \right)+F_{189}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{178}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{183}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{174}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{126}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{197}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{193}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{201}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{202}\! \left(x \right)-F_{205}\! \left(x \right)+F_{150}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{150}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{149}\! \left(x \right)+F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{207}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{162}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{162}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{210}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{227}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{222}\! \left(x \right) = -F_{161}\! \left(x \right)-F_{223}\! \left(x \right)+F_{136}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{226}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = F_{210}\! \left(x \right) F_{217}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{234}\! \left(x \right)+F_{235}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{231}\! \left(x \right)+F_{237}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{210}\! \left(x \right) F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{153}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{155}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{251}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{150}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{265}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{161}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{260}\! \left(x \right)+F_{261}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{257}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{257}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{210}\! \left(x \right) F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{210}\! \left(x \right) F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{276}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{273}\! \left(x \right)+F_{275}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{161}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{210}\! \left(x \right) F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{284}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{148}\! \left(x \right)+F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{286}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{335}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{40}\! \left(x \right)}<br />
  
    F_{288}\! \left(x \right) = F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{290}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{293}\! \left(x \right) = F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = -F_{319}\! \left(x \right)+F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = \frac{F_{296}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{305}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{161}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{231}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{299}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{162}\! \left(x \right) F_{306}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{211}\! \left(x \right) F_{247}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = \frac{F_{314}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{252}\! \left(x \right)+F_{317}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{318}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{210}\! \left(x \right) F_{313}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{167}\! \left(x \right) F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{15}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{322}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{328}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{327}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = \frac{F_{330}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{330}\! \left(x \right) = F_{331}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = \frac{F_{332}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{332}\! \left(x \right) = -F_{333}\! \left(x \right)-F_{41}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{2}\! \left(x \right) F_{221}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{210}\! \left(x \right) F_{286}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = \frac{F_{341}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{104}\! \left(x \right) F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{104}\! \left(x \right) F_{350}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{351}\! \left(x \right) = F_{352}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{378}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{358}\! \left(x \right)+F_{377}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{144}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{287}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = -F_{359}\! \left(x \right)-F_{377}\! \left(x \right)-F_{41}\! \left(x \right)+F_{331}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{361}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{362}\! \left(x \right)-F_{376}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{363}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = \frac{F_{364}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{364}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{365}\! \left(x \right)-F_{369}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{32}\! \left(x \right)+F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{210}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{370}\! \left(x \right)-F_{371}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{373}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{374}\! \left(x \right)-F_{375}\! \left(x \right)+F_{107}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{352}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{162}\! \left(x \right) F_{352}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{149}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{286}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{286}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = \frac{F_{388}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{392}\! \left(x \right)+F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{391}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = \frac{F_{395}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{395}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{120}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{4}\! \left(x \right) F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{404}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{398}\! \left(x \right)+F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = 2 F_{41}\! \left(x \right)+F_{406}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{4}\! \left(x \right) F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{402}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{405}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{398}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{103}\! \left(x \right) F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = \frac{F_{418}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{418}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{420}\! \left(x \right)-F_{421}\! \left(x \right)+F_{419}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{34}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{4}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{4}\! \left(x \right) F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{4}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = \frac{F_{430}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{430}\! \left(x \right) = F_{431}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{4}\! \left(x \right) F_{432}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = \frac{F_{433}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{438}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{441}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{43}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{4}\! \left(x \right) F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{443}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{28}\! \left(x \right) F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{4}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{461}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{451}\! \left(x \right) F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = \frac{F_{457}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{457}\! \left(x \right) = -F_{28}\! \left(x \right)-F_{458}\! \left(x \right)+F_{323}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{4}\! \left(x \right) F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{460}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{464}\! \left(x \right) = F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = -F_{466}\! \left(x \right)-F_{467}\! \left(x \right)-F_{476}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{4}\! \left(x \right) F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{162}\! \left(x \right) F_{329}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)+F_{474}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{162}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{475}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{162}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{477}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{4}\! \left(x \right) F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = \frac{F_{479}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = \frac{F_{481}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{481}\! \left(x \right) = -F_{365}\! \left(x \right)-F_{41}\! \left(x \right)-F_{482}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{4}\! \left(x \right) F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{485}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{114}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{114}\! \left(x \right) F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{4}\! \left(x \right) F_{489}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{16}\! \left(x \right)+F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{4}\! \left(x \right) F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{512}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{496}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{16}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = \frac{F_{497}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{497}\! \left(x \right) = -F_{451}\! \left(x \right)-F_{505}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{4}\! \left(x \right) F_{500}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{504}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{5}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = \frac{F_{503}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{503}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{114}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{4}\! \left(x \right) F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{449}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{509}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = \frac{F_{510}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{510}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{359}\! \left(x \right)-F_{511}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{114}\! \left(x \right) F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{515}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{105}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{4}\! \left(x \right) F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{519}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{105}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{114}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{41}\! \left(x \right)+F_{522}\! \left(x \right)+F_{525}\! \left(x \right)+F_{527}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{4}\! \left(x \right) F_{524}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{521}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{144}\! \left(x \right) F_{16}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{4}\! \left(x \right) F_{528}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = -F_{532}\! \left(x \right)+F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = \frac{F_{530}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{530}\! \left(x \right) = F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{545}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = \frac{F_{534}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{534}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{535}\! \left(x \right)-F_{541}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{536}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{4}\! \left(x \right) F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{538}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{141}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{114}\! \left(x \right) F_{141}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{4}\! \left(x \right) F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{13}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{4}\! \left(x \right) F_{521}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{514}\! \left(x \right)+F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{114}\! \left(x \right) F_{353}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{4}\! \left(x \right) F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{556}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{16}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{558}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{114}\! \left(x \right) F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{560}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{114}\! \left(x \right) F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \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_4(x)*F_5(x))<br />
  
    Eq(F_4(x), x)<br />
  
    Eq(F_5(x), F_1(x) + F_561(x) + F_6(x))<br />
  
    Eq(F_6(x), F_4(x)*F_7(x))<br />
  
    Eq(F_7(x), F_5(x) + F_8(x))<br />
  
    Eq(F_8(x), F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_4(x))<br />
  
    Eq(F_10(x), F_11(x) + F_552(x))<br />
  
    Eq(F_11(x), F_12(x) - F_549(x))<br />
  
    Eq(F_12(x), F_13(x) + F_521(x))<br />
  
    Eq(F_13(x), F_14(x) + F_514(x))<br />
  
    Eq(F_14(x), F_15(x)*F_16(x))<br />
  
    Eq(F_15(x), (x - 2)*F_15(x) + F_15(x)**2 + 2)<br />
  
    Eq(F_16(x), F_1(x) + F_17(x) + F_19(x) + F_488(x))<br />
  
    Eq(F_17(x), F_18(x)*F_4(x))<br />
  
    Eq(F_18(x), F_19(x)/F_4(x))<br />
  
    Eq(F_19(x), -F_1(x) - F_20(x) - F_488(x) + F_7(x))<br />
  
    Eq(F_20(x), F_21(x)*F_4(x))<br />
  
    Eq(F_21(x), F_22(x) + F_7(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x)*F_4(x))<br />
  
    Eq(F_24(x), F_25(x) + F_486(x))<br />
  
    Eq(F_25(x), F_26(x) + F_484(x))<br />
  
    Eq(F_26(x), F_27(x) + F_449(x))<br />
  
    Eq(F_27(x), F_28(x)*F_7(x))<br />
  
    Eq(F_28(x), F_15(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_31(x)*F_4(x)*F_448(x))<br />
  
    Eq(F_31(x), F_32(x) - F_331(x))<br />
  
    Eq(F_32(x), F_33(x)/F_4(x))<br />
  
    Eq(F_33(x), -F_1(x) + F_34(x) - F_36(x))<br />
  
    Eq(F_34(x), F_35(x)/F_4(x))<br />
  
    Eq(F_35(x), F_2(x))<br />
  
    Eq(F_36(x), F_37(x)*F_4(x))<br />
  
    Eq(F_37(x), F_38(x) + F_5(x))<br />
  
    Eq(F_38(x), F_39(x) + F_45(x))<br />
  
    Eq(F_39(x), F_2(x) + F_40(x))<br />
  
    Eq(F_40(x), F_41(x) + F_42(x) + F_44(x))<br />
  
    Eq(F_41(x), 0)<br />
  
    Eq(F_42(x), F_4(x)*F_43(x))<br />
  
    Eq(F_43(x), F_32(x) - F_5(x))<br />
  
    Eq(F_44(x), F_38(x)*F_4(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_4(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x) + F_56(x))<br />
  
    Eq(F_48(x), F_49(x)*F_53(x))<br />
  
    Eq(F_49(x), F_41(x) + F_50(x) + F_52(x))<br />
  
    Eq(F_50(x), F_4(x)*F_51(x))<br />
  
    Eq(F_51(x), F_45(x) + F_49(x))<br />
  
    Eq(F_52(x), F_32(x)*F_4(x))<br />
  
    Eq(F_53(x), F_1(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_4(x)*F_53(x))<br />
  
    Eq(F_56(x), F_441(x) + F_57(x))<br />
  
    Eq(F_57(x), F_437(x) + F_58(x))<br />
  
    Eq(F_58(x), F_41(x) + F_59(x) + F_60(x))<br />
  
    Eq(F_59(x), F_4(x)*F_57(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_4(x)*F_62(x))<br />
  
    Eq(F_62(x), F_435(x) + F_63(x))<br />
  
    Eq(F_63(x), F_423(x) + F_424(x) + F_64(x))<br />
  
    Eq(F_64(x), F_1(x) + F_416(x) + F_422(x) + F_65(x))<br />
  
    Eq(F_65(x), F_4(x)*F_66(x))<br />
  
    Eq(F_66(x), F_64(x) + F_67(x))<br />
  
    Eq(F_67(x), F_68(x))<br />
  
    Eq(F_68(x), -F_32(x) + F_69(x))<br />
  
    Eq(F_69(x), F_70(x)/F_4(x))<br />
  
    Eq(F_70(x), -F_1(x) + F_37(x) - F_415(x) - F_71(x))<br />
  
    Eq(F_71(x), F_4(x)*F_72(x))<br />
  
    Eq(F_72(x), F_37(x) + F_73(x))<br />
  
    Eq(F_73(x), F_74(x))<br />
  
    Eq(F_74(x), F_75(x) + F_81(x))<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_4(x)*F_53(x)*F_77(x))<br />
  
    Eq(F_77(x), F_78(x) + F_80(x))<br />
  
    Eq(F_78(x), F_53(x) + F_79(x))<br />
  
    Eq(F_79(x), F_76(x))<br />
  
    Eq(F_80(x), F_74(x))<br />
  
    Eq(F_81(x), F_82(x)/F_53(x))<br />
  
    Eq(F_82(x), -F_117(x) + F_83(x))<br />
  
    Eq(F_83(x), F_84(x))<br />
  
    Eq(F_84(x), F_4(x)*F_85(x))<br />
  
    Eq(F_85(x), F_86(x) + F_96(x))<br />
  
    Eq(F_86(x), F_87(x)/F_4(x))<br />
  
    Eq(F_87(x), F_88(x))<br />
  
    Eq(F_88(x), F_41(x) + F_89(x) + F_92(x) + F_94(x))<br />
  
    Eq(F_89(x), F_4(x)*F_90(x))<br />
  
    Eq(F_90(x), F_91(x)/F_4(x))<br />
  
    Eq(F_91(x), F_43(x))<br />
  
    Eq(F_92(x), F_93(x))<br />
  
    Eq(F_93(x), F_4(x)*F_53(x)*F_68(x))<br />
  
    Eq(F_94(x), F_95(x))<br />
  
    Eq(F_95(x), F_4(x)*F_88(x))<br />
  
    Eq(F_96(x), F_97(x))<br />
  
    Eq(F_97(x), F_103(x)*F_4(x)*F_98(x))<br />
  
    Eq(F_98(x), F_102(x) + F_78(x) + F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_4(x))<br />
  
    Eq(F_100(x), F_101(x)/F_4(x))<br />
  
    Eq(F_101(x), F_74(x))<br />
  
    Eq(F_102(x), F_4(x)*F_98(x))<br />
  
    Eq(F_103(x), F_104(x) + F_112(x) + F_113(x))<br />
  
    Eq(F_104(x), F_105(x) + F_15(x))<br />
  
    Eq(F_105(x), F_106(x) + F_110(x) + F_41(x))<br />
  
    Eq(F_106(x), F_107(x)*F_4(x))<br />
  
    Eq(F_107(x), F_104(x) + F_108(x))<br />
  
    Eq(F_108(x), F_109(x))<br />
  
    Eq(F_109(x), F_103(x)*F_4(x))<br />
  
    Eq(F_110(x), F_111(x) - F_41(x) - F_6(x))<br />
  
    Eq(F_111(x), -F_15(x) + F_5(x))<br />
  
    Eq(F_112(x), F_103(x)*F_4(x))<br />
  
    Eq(F_113(x), F_114(x)*F_4(x))<br />
  
    Eq(F_114(x), F_115(x)/F_4(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), -F_16(x) + F_18(x))<br />
  
    Eq(F_117(x), F_118(x))<br />
  
    Eq(F_118(x), F_119(x) + F_132(x))<br />
  
    Eq(F_119(x), F_120(x)*F_79(x))<br />
  
    Eq(F_120(x), F_1(x) + F_121(x))<br />
  
    Eq(F_121(x), F_122(x))<br />
  
    Eq(F_122(x), F_123(x)*F_4(x))<br />
  
    Eq(F_123(x), F_124(x) + F_125(x))<br />
  
    Eq(F_124(x), F_1(x) + F_4(x))<br />
  
    Eq(F_125(x), F_121(x) + F_126(x))<br />
  
    Eq(F_126(x), F_127(x) + F_131(x) + F_41(x))<br />
  
    Eq(F_127(x), F_128(x)*F_4(x))<br />
  
    Eq(F_128(x), F_129(x) + F_130(x))<br />
  
    Eq(F_129(x), F_4(x))<br />
  
    Eq(F_130(x), F_126(x))<br />
  
    Eq(F_131(x), F_121(x)*F_4(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x)*F_4(x))<br />
  
    Eq(F_134(x), F_135(x) + F_411(x))<br />
  
    Eq(F_135(x), F_136(x)*F_79(x))<br />
  
    Eq(F_136(x), F_137(x)/F_4(x))<br />
  
    Eq(F_137(x), F_138(x))<br />
  
    Eq(F_138(x), F_139(x) + F_143(x) + F_41(x))<br />
  
    Eq(F_139(x), F_140(x)*F_4(x))<br />
  
    Eq(F_140(x), F_141(x) - F_396(x))<br />
  
    Eq(F_141(x), F_142(x)/F_4(x))<br />
  
    Eq(F_142(x), -F_1(x) + F_104(x) - F_143(x))<br />
  
    Eq(F_143(x), F_144(x)*F_4(x))<br />
  
    Eq(F_144(x), F_104(x) + F_145(x))<br />
  
    Eq(F_145(x), F_146(x))<br />
  
    Eq(F_146(x), F_147(x)*F_4(x))<br />
  
    Eq(F_147(x), F_148(x) + F_337(x))<br />
  
    Eq(F_148(x), F_149(x) + F_278(x))<br />
  
    Eq(F_149(x), F_150(x) + F_218(x))<br />
  
    Eq(F_150(x), F_151(x)/F_4(x))<br />
  
    Eq(F_151(x), -F_1(x) + F_152(x) - F_242(x))<br />
  
    Eq(F_152(x), F_0(x) + F_153(x))<br />
  
    Eq(F_153(x), F_154(x))<br />
  
    Eq(F_154(x), F_155(x)*F_4(x))<br />
  
    Eq(F_155(x), F_156(x) + F_240(x))<br />
  
    Eq(F_156(x), F_0(x) + F_157(x) + F_239(x))<br />
  
    Eq(F_157(x), F_158(x))<br />
  
    Eq(F_158(x), F_159(x)*F_4(x))<br />
  
    Eq(F_159(x), F_160(x) + F_231(x))<br />
  
    Eq(F_160(x), F_161(x)*F_34(x))<br />
  
    Eq(F_161(x), F_162(x) + F_167(x))<br />
  
    Eq(F_162(x), F_1(x) + F_163(x))<br />
  
    Eq(F_163(x), F_164(x)*F_4(x))<br />
  
    Eq(F_164(x), F_165(x) + F_53(x))<br />
  
    Eq(F_165(x), F_166(x))<br />
  
    Eq(F_166(x), F_162(x)*F_164(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_167(x), F_168(x) + F_198(x) + F_41(x))<br />
  
    Eq(F_168(x), F_169(x)*F_4(x))<br />
  
    Eq(F_169(x), F_161(x) + F_170(x))<br />
  
    Eq(F_170(x), F_171(x))<br />
  
    Eq(F_171(x), F_172(x)*F_192(x)*F_4(x))<br />
  
    Eq(F_172(x), F_173(x) + F_53(x))<br />
  
    Eq(F_173(x), F_121(x) + F_174(x))<br />
  
    Eq(F_174(x), F_175(x) + F_191(x) + F_41(x))<br />
  
    Eq(F_175(x), F_176(x)*F_4(x))<br />
  
    Eq(F_176(x), F_177(x) + F_182(x))<br />
  
    Eq(F_177(x), F_178(x) + F_54(x))<br />
  
    Eq(F_178(x), F_179(x) + F_180(x) + F_41(x))<br />
  
    Eq(F_179(x), F_4(x)*F_54(x))<br />
  
    Eq(F_180(x), F_181(x)*F_4(x))<br />
  
    Eq(F_181(x), F_178(x) + F_4(x))<br />
  
    Eq(F_182(x), F_174(x) + F_183(x))<br />
  
    Eq(F_183(x), F_184(x) + F_188(x) + F_189(x) + F_41(x))<br />
  
    Eq(F_184(x), F_185(x)*F_4(x))<br />
  
    Eq(F_185(x), F_186(x) + F_187(x))<br />
  
    Eq(F_186(x), F_178(x))<br />
  
    Eq(F_187(x), F_183(x))<br />
  
    Eq(F_188(x), F_174(x)*F_4(x))<br />
  
    Eq(F_189(x), F_190(x)*F_4(x))<br />
  
    Eq(F_190(x), F_126(x) + F_183(x))<br />
  
    Eq(F_191(x), F_173(x)*F_4(x))<br />
  
    Eq(F_192(x), F_193(x) + F_53(x))<br />
  
    Eq(F_193(x), F_194(x) + F_54(x))<br />
  
    Eq(F_194(x), F_195(x) + F_197(x) + F_41(x))<br />
  
    Eq(F_195(x), F_196(x)*F_4(x))<br />
  
    Eq(F_196(x), F_194(x) + F_54(x))<br />
  
    Eq(F_197(x), F_193(x)*F_4(x))<br />
  
    Eq(F_198(x), F_199(x)*F_4(x))<br />
  
    Eq(F_199(x), -F_164(x) + F_200(x))<br />
  
    Eq(F_200(x), F_201(x)/F_4(x))<br />
  
    Eq(F_201(x), -F_1(x) + F_150(x) - F_202(x) - F_205(x))<br />
  
    Eq(F_202(x), F_203(x)*F_4(x))<br />
  
    Eq(F_203(x), F_150(x) + F_204(x))<br />
  
    Eq(F_204(x), F_170(x))<br />
  
    Eq(F_205(x), F_206(x)*F_4(x))<br />
  
    Eq(F_206(x), F_207(x) - F_217(x))<br />
  
    Eq(F_207(x), F_149(x) + F_208(x))<br />
  
    Eq(F_208(x), F_209(x))<br />
  
    Eq(F_209(x), F_207(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_210(x), F_162(x) + F_211(x))<br />
  
    Eq(F_211(x), F_212(x) + F_54(x))<br />
  
    Eq(F_212(x), F_213(x))<br />
  
    Eq(F_213(x), F_214(x)*F_4(x))<br />
  
    Eq(F_214(x), F_215(x) + F_216(x))<br />
  
    Eq(F_215(x), F_162(x)*F_211(x))<br />
  
    Eq(F_216(x), F_210(x)*F_211(x))<br />
  
    Eq(F_217(x), F_218(x) + F_229(x))<br />
  
    Eq(F_218(x), F_219(x) + F_227(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_221(x)*F_4(x))<br />
  
    Eq(F_221(x), F_222(x)/F_4(x))<br />
  
    Eq(F_222(x), F_136(x) - F_161(x) - F_223(x))<br />
  
    Eq(F_223(x), F_224(x))<br />
  
    Eq(F_224(x), F_225(x)*F_4(x))<br />
  
    Eq(F_225(x), F_226(x)/F_4(x))<br />
  
    Eq(F_226(x), F_140(x))<br />
  
    Eq(F_227(x), F_228(x))<br />
  
    Eq(F_228(x), F_217(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_229(x), F_230(x))<br />
  
    Eq(F_230(x), F_210(x)*F_217(x)*F_4(x))<br />
  
    Eq(F_231(x), F_232(x) + F_234(x) + F_235(x) + F_41(x))<br />
  
    Eq(F_232(x), F_233(x))<br />
  
    Eq(F_233(x), F_231(x)*F_4(x))<br />
  
    Eq(F_234(x), F_161(x)*F_34(x)*F_4(x))<br />
  
    Eq(F_235(x), F_236(x)*F_4(x))<br />
  
    Eq(F_236(x), F_231(x) + F_237(x))<br />
  
    Eq(F_237(x), F_238(x))<br />
  
    Eq(F_238(x), F_210(x)*F_236(x)*F_4(x))<br />
  
    Eq(F_239(x), F_153(x))<br />
  
    Eq(F_240(x), F_241(x))<br />
  
    Eq(F_241(x), F_155(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_242(x), F_243(x)*F_4(x))<br />
  
    Eq(F_243(x), F_244(x) + F_5(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_246(x)*F_4(x))<br />
  
    Eq(F_246(x), F_247(x) + F_268(x))<br />
  
    Eq(F_247(x), F_248(x) + F_251(x))<br />
  
    Eq(F_248(x), F_150(x) + F_249(x))<br />
  
    Eq(F_249(x), F_250(x))<br />
  
    Eq(F_250(x), F_246(x)*F_4(x))<br />
  
    Eq(F_251(x), F_252(x) + F_266(x))<br />
  
    Eq(F_252(x), F_253(x) + F_265(x) + F_49(x))<br />
  
    Eq(F_253(x), F_254(x))<br />
  
    Eq(F_254(x), F_255(x)*F_4(x))<br />
  
    Eq(F_255(x), F_256(x) + F_257(x))<br />
  
    Eq(F_256(x), F_161(x)*F_51(x))<br />
  
    Eq(F_257(x), F_258(x) + F_260(x) + F_261(x) + F_41(x))<br />
  
    Eq(F_258(x), F_259(x))<br />
  
    Eq(F_259(x), F_257(x)*F_4(x))<br />
  
    Eq(F_260(x), F_161(x)*F_4(x)*F_51(x))<br />
  
    Eq(F_261(x), F_262(x)*F_4(x))<br />
  
    Eq(F_262(x), F_257(x) + F_263(x))<br />
  
    Eq(F_263(x), F_264(x))<br />
  
    Eq(F_264(x), F_210(x)*F_262(x)*F_4(x))<br />
  
    Eq(F_265(x), F_251(x)*F_4(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_210(x)*F_251(x)*F_4(x))<br />
  
    Eq(F_268(x), F_269(x) + F_276(x))<br />
  
    Eq(F_269(x), F_270(x) + F_273(x) + F_275(x) + F_41(x))<br />
  
    Eq(F_270(x), F_271(x))<br />
  
    Eq(F_271(x), F_272(x)*F_4(x))<br />
  
    Eq(F_272(x), F_269(x))<br />
  
    Eq(F_273(x), F_274(x))<br />
  
    Eq(F_274(x), F_161(x)*F_32(x)*F_4(x))<br />
  
    Eq(F_275(x), F_268(x)*F_4(x))<br />
  
    Eq(F_276(x), F_277(x))<br />
  
    Eq(F_277(x), F_210(x)*F_268(x)*F_4(x))<br />
  
    Eq(F_278(x), F_279(x))<br />
  
    Eq(F_279(x), F_280(x)*F_4(x))<br />
  
    Eq(F_280(x), F_281(x) + F_284(x))<br />
  
    Eq(F_281(x), F_148(x) + F_282(x))<br />
  
    Eq(F_282(x), F_283(x))<br />
  
    Eq(F_283(x), F_148(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_286(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_286(x), F_287(x) + F_335(x))<br />
  
    Eq(F_287(x), F_288(x)/F_40(x))<br />
  
    Eq(F_288(x), F_289(x))<br />
  
    Eq(F_289(x), F_290(x) - F_334(x))<br />
  
    Eq(F_290(x), F_291(x))<br />
  
    Eq(F_291(x), F_292(x)*F_4(x))<br />
  
    Eq(F_292(x), F_293(x)/F_4(x))<br />
  
    Eq(F_293(x), F_294(x))<br />
  
    Eq(F_294(x), F_295(x) - F_319(x))<br />
  
    Eq(F_295(x), F_296(x)/F_4(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_298(x)*F_4(x))<br />
  
    Eq(F_298(x), F_299(x) + F_312(x))<br />
  
    Eq(F_299(x), F_300(x) + F_305(x) + F_41(x))<br />
  
    Eq(F_300(x), F_301(x))<br />
  
    Eq(F_301(x), F_302(x)*F_4(x))<br />
  
    Eq(F_302(x), F_303(x) + F_304(x))<br />
  
    Eq(F_303(x), F_161(x)*F_37(x))<br />
  
    Eq(F_304(x), F_231(x) + F_257(x))<br />
  
    Eq(F_305(x), F_306(x)*F_4(x))<br />
  
    Eq(F_306(x), F_299(x) + F_307(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_309(x)*F_4(x))<br />
  
    Eq(F_309(x), F_310(x) + F_311(x))<br />
  
    Eq(F_310(x), F_162(x)*F_306(x))<br />
  
    Eq(F_311(x), F_211(x)*F_247(x))<br />
  
    Eq(F_312(x), F_313(x) - F_316(x))<br />
  
    Eq(F_313(x), F_314(x)/F_4(x))<br />
  
    Eq(F_314(x), F_315(x))<br />
  
    Eq(F_315(x), -F_153(x) + F_43(x))<br />
  
    Eq(F_316(x), F_252(x) + F_317(x))<br />
  
    Eq(F_317(x), F_318(x))<br />
  
    Eq(F_318(x), F_210(x)*F_313(x)*F_4(x))<br />
  
    Eq(F_319(x), F_167(x)*F_320(x))<br />
  
    Eq(F_320(x), F_15(x) + F_321(x))<br />
  
    Eq(F_321(x), F_322(x))<br />
  
    Eq(F_322(x), F_323(x)*F_4(x))<br />
  
    Eq(F_323(x), F_324(x) + F_328(x) + F_5(x))<br />
  
    Eq(F_324(x), F_325(x))<br />
  
    Eq(F_325(x), F_326(x)*F_4(x))<br />
  
    Eq(F_326(x), F_327(x)/F_4(x))<br />
  
    Eq(F_327(x), F_38(x))<br />
  
    Eq(F_328(x), F_329(x)*F_4(x))<br />
  
    Eq(F_329(x), F_330(x)/F_4(x))<br />
  
    Eq(F_330(x), F_331(x))<br />
  
    Eq(F_331(x), F_332(x)/F_4(x))<br />
  
    Eq(F_332(x), F_111(x) - F_333(x) - F_41(x))<br />
  
    Eq(F_333(x), F_37(x)*F_4(x))<br />
  
    Eq(F_334(x), F_2(x)*F_221(x))<br />
  
    Eq(F_335(x), F_336(x))<br />
  
    Eq(F_336(x), F_210(x)*F_286(x)*F_4(x))<br />
  
    Eq(F_337(x), F_338(x))<br />
  
    Eq(F_338(x), F_339(x)*F_4(x))<br />
  
    Eq(F_339(x), F_340(x) + F_385(x))<br />
  
    Eq(F_340(x), F_341(x)/F_4(x))<br />
  
    Eq(F_341(x), F_342(x))<br />
  
    Eq(F_342(x), -F_148(x) + F_343(x))<br />
  
    Eq(F_343(x), F_344(x) + F_346(x))<br />
  
    Eq(F_344(x), F_345(x))<br />
  
    Eq(F_345(x), F_104(x)*F_162(x)*F_31(x))<br />
  
    Eq(F_346(x), F_347(x))<br />
  
    Eq(F_347(x), F_348(x)*F_4(x))<br />
  
    Eq(F_348(x), F_349(x) + F_383(x))<br />
  
    Eq(F_349(x), F_104(x)*F_350(x))<br />
  
    Eq(F_350(x), F_351(x)/F_4(x))<br />
  
    Eq(F_351(x), F_352(x))<br />
  
    Eq(F_352(x), F_353(x) + F_378(x))<br />
  
    Eq(F_353(x), F_354(x) + F_358(x) + F_377(x) + F_41(x))<br />
  
    Eq(F_354(x), F_355(x)*F_4(x))<br />
  
    Eq(F_355(x), F_144(x) + F_356(x))<br />
  
    Eq(F_356(x), F_357(x))<br />
  
    Eq(F_357(x), F_287(x)*F_4(x))<br />
  
    Eq(F_358(x), F_331(x) - F_359(x) - F_377(x) - F_41(x))<br />
  
    Eq(F_359(x), F_360(x)*F_4(x))<br />
  
    Eq(F_360(x), F_361(x)/F_4(x))<br />
  
    Eq(F_361(x), -F_1(x) - F_362(x) - F_376(x) + F_7(x))<br />
  
    Eq(F_362(x), F_363(x)*F_4(x))<br />
  
    Eq(F_363(x), F_364(x)/F_4(x))<br />
  
    Eq(F_364(x), -F_1(x) - F_365(x) - F_369(x) + F_37(x))<br />
  
    Eq(F_365(x), F_366(x)*F_4(x))<br />
  
    Eq(F_366(x), F_32(x) + F_367(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_210(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_369(x), -F_1(x) + F_141(x) - F_370(x) - F_371(x))<br />
  
    Eq(F_370(x), F_210(x)*F_4(x))<br />
  
    Eq(F_371(x), F_372(x)*F_4(x))<br />
  
    Eq(F_372(x), F_373(x)/F_4(x))<br />
  
    Eq(F_373(x), -F_1(x) + F_107(x) - F_374(x) - F_375(x))<br />
  
    Eq(F_374(x), F_210(x)*F_4(x))<br />
  
    Eq(F_375(x), F_355(x)*F_4(x))<br />
  
    Eq(F_376(x), F_366(x)*F_4(x))<br />
  
    Eq(F_377(x), F_352(x)*F_4(x))<br />
  
    Eq(F_378(x), F_379(x))<br />
  
    Eq(F_379(x), F_380(x)*F_4(x))<br />
  
    Eq(F_380(x), F_381(x) + F_382(x))<br />
  
    Eq(F_381(x), F_162(x)*F_352(x))<br />
  
    Eq(F_382(x), F_149(x)*F_211(x))<br />
  
    Eq(F_383(x), F_286(x)*F_384(x))<br />
  
    Eq(F_384(x), -F_104(x) + F_141(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_286(x)*F_387(x)*F_4(x))<br />
  
    Eq(F_387(x), F_388(x)/F_4(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), -F_104(x) + F_390(x) - F_392(x))<br />
  
    Eq(F_390(x), F_391(x)/F_4(x))<br />
  
    Eq(F_391(x), F_138(x))<br />
  
    Eq(F_392(x), F_393(x))<br />
  
    Eq(F_393(x), F_394(x)*F_4(x))<br />
  
    Eq(F_394(x), F_395(x)/F_4(x))<br />
  
    Eq(F_395(x), F_140(x))<br />
  
    Eq(F_396(x), F_120(x) + F_397(x))<br />
  
    Eq(F_397(x), F_398(x) + F_54(x))<br />
  
    Eq(F_398(x), F_399(x))<br />
  
    Eq(F_399(x), F_4(x)*F_400(x))<br />
  
    Eq(F_400(x), F_401(x) + F_404(x))<br />
  
    Eq(F_401(x), F_402(x) + F_54(x))<br />
  
    Eq(F_402(x), F_403(x))<br />
  
    Eq(F_403(x), F_4(x)*F_54(x))<br />
  
    Eq(F_404(x), F_398(x) + F_405(x))<br />
  
    Eq(F_405(x), F_406(x) + 2*F_41(x) + F_410(x))<br />
  
    Eq(F_406(x), F_4(x)*F_407(x))<br />
  
    Eq(F_407(x), F_408(x) + F_409(x))<br />
  
    Eq(F_408(x), F_402(x))<br />
  
    Eq(F_409(x), F_405(x))<br />
  
    Eq(F_410(x), F_398(x)*F_4(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_103(x)*F_413(x))<br />
  
    Eq(F_413(x), F_414(x) + F_79(x))<br />
  
    Eq(F_414(x), F_81(x))<br />
  
    Eq(F_415(x), F_4(x)*F_72(x))<br />
  
    Eq(F_416(x), F_4(x)*F_417(x))<br />
  
    Eq(F_417(x), F_418(x)/F_4(x))<br />
  
    Eq(F_418(x), -F_1(x) + F_419(x) - F_420(x) - F_421(x))<br />
  
    Eq(F_419(x), F_34(x) + F_74(x))<br />
  
    Eq(F_420(x), F_4(x)*F_69(x))<br />
  
    Eq(F_421(x), F_4(x)*F_72(x))<br />
  
    Eq(F_422(x), F_4(x)*F_64(x))<br />
  
    Eq(F_423(x), F_4(x)*F_63(x))<br />
  
    Eq(F_424(x), F_425(x))<br />
  
    Eq(F_425(x), F_4(x)*F_426(x))<br />
  
    Eq(F_426(x), F_427(x) + F_62(x))<br />
  
    Eq(F_427(x), F_428(x))<br />
  
    Eq(F_428(x), F_4(x)*F_429(x))<br />
  
    Eq(F_429(x), F_430(x)/F_4(x))<br />
  
    Eq(F_430(x), F_431(x))<br />
  
    Eq(F_431(x), F_4(x)*F_432(x)*F_53(x))<br />
  
    Eq(F_432(x), F_433(x)/F_4(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_417(x) - F_64(x))<br />
  
    Eq(F_435(x), F_436(x))<br />
  
    Eq(F_436(x), F_210(x)*F_4(x)*F_62(x))<br />
  
    Eq(F_437(x), F_438(x)*F_53(x))<br />
  
    Eq(F_438(x), F_439(x))<br />
  
    Eq(F_439(x), F_210(x)*F_4(x)*F_440(x))<br />
  
    Eq(F_440(x), F_438(x) + F_49(x))<br />
  
    Eq(F_441(x), F_442(x))<br />
  
    Eq(F_442(x), F_210(x)*F_4(x)*F_443(x))<br />
  
    Eq(F_443(x), F_441(x) + F_444(x))<br />
  
    Eq(F_444(x), F_43(x) + F_445(x))<br />
  
    Eq(F_445(x), F_446(x))<br />
  
    Eq(F_446(x), F_4(x)*F_447(x))<br />
  
    Eq(F_447(x), F_443(x) + F_57(x))<br />
  
    Eq(F_448(x), F_31(x))<br />
  
    Eq(F_449(x), F_450(x) + F_452(x))<br />
  
    Eq(F_450(x), F_28(x)*F_451(x))<br />
  
    Eq(F_451(x), F_110(x)/F_4(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_4(x)*F_454(x))<br />
  
    Eq(F_454(x), F_455(x) + F_461(x))<br />
  
    Eq(F_455(x), F_451(x)*F_456(x))<br />
  
    Eq(F_456(x), F_457(x)/F_4(x))<br />
  
    Eq(F_457(x), -F_28(x) + F_323(x) - F_458(x))<br />
  
    Eq(F_458(x), F_4(x)*F_459(x))<br />
  
    Eq(F_459(x), F_460(x)/F_4(x))<br />
  
    Eq(F_460(x), F_451(x))<br />
  
    Eq(F_461(x), F_462(x))<br />
  
    Eq(F_462(x), F_114(x)*F_4(x)*F_463(x))<br />
  
    Eq(F_463(x), F_464(x)/F_4(x))<br />
  
    Eq(F_464(x), F_465(x))<br />
  
    Eq(F_465(x), F_326(x) - F_466(x) - F_467(x) - F_476(x))<br />
  
    Eq(F_466(x), F_162(x)*F_31(x))<br />
  
    Eq(F_467(x), F_4(x)*F_468(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_162(x)*F_329(x))<br />
  
    Eq(F_470(x), F_471(x))<br />
  
    Eq(F_471(x), F_162(x)*F_4(x)*F_472(x)*F_53(x))<br />
  
    Eq(F_472(x), F_473(x) + F_474(x))<br />
  
    Eq(F_473(x), F_162(x)*F_366(x))<br />
  
    Eq(F_474(x), F_475(x))<br />
  
    Eq(F_475(x), F_162(x)*F_210(x)*F_4(x)*F_472(x))<br />
  
    Eq(F_476(x), F_477(x))<br />
  
    Eq(F_477(x), F_4(x)*F_478(x))<br />
  
    Eq(F_478(x), F_479(x)/F_4(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_481(x)/F_4(x))<br />
  
    Eq(F_481(x), -F_365(x) + F_38(x) - F_41(x) - F_482(x))<br />
  
    Eq(F_482(x), F_4(x)*F_483(x))<br />
  
    Eq(F_483(x), F_363(x) - F_7(x))<br />
  
    Eq(F_484(x), F_485(x))<br />
  
    Eq(F_485(x), F_114(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_114(x)*F_360(x)*F_4(x))<br />
  
    Eq(F_488(x), F_4(x)*F_489(x))<br />
  
    Eq(F_489(x), F_16(x) + F_490(x))<br />
  
    Eq(F_490(x), F_491(x))<br />
  
    Eq(F_491(x), F_4(x)*F_492(x))<br />
  
    Eq(F_492(x), F_493(x) + F_512(x))<br />
  
    Eq(F_493(x), F_494(x) + F_507(x))<br />
  
    Eq(F_494(x), F_495(x) + F_496(x))<br />
  
    Eq(F_495(x), F_16(x)*F_28(x))<br />
  
    Eq(F_496(x), F_497(x)/F_4(x))<br />
  
    Eq(F_497(x), -F_451(x) + F_498(x) - F_505(x))<br />
  
    Eq(F_498(x), F_499(x))<br />
  
    Eq(F_499(x), F_4(x)*F_500(x))<br />
  
    Eq(F_500(x), F_501(x) + F_504(x))<br />
  
    Eq(F_501(x), F_5(x)*F_502(x))<br />
  
    Eq(F_502(x), F_503(x)/F_4(x))<br />
  
    Eq(F_503(x), F_451(x))<br />
  
    Eq(F_504(x), F_114(x)*F_38(x))<br />
  
    Eq(F_505(x), F_4(x)*F_506(x))<br />
  
    Eq(F_506(x), F_449(x) + F_484(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_114(x)*F_4(x)*F_509(x))<br />
  
    Eq(F_509(x), F_510(x)/F_4(x))<br />
  
    Eq(F_510(x), -F_1(x) + F_32(x) - F_359(x) - F_511(x))<br />
  
    Eq(F_511(x), F_149(x)*F_4(x))<br />
  
    Eq(F_512(x), F_513(x))<br />
  
    Eq(F_513(x), F_114(x)*F_149(x)*F_4(x))<br />
  
    Eq(F_514(x), F_515(x) + F_516(x))<br />
  
    Eq(F_515(x), F_105(x)*F_28(x))<br />
  
    Eq(F_516(x), F_517(x))<br />
  
    Eq(F_517(x), F_4(x)*F_518(x))<br />
  
    Eq(F_518(x), F_519(x) + F_520(x))<br />
  
    Eq(F_519(x), F_105(x)*F_502(x))<br />
  
    Eq(F_520(x), F_114(x)*F_384(x))<br />
  
    Eq(F_521(x), F_41(x) + F_522(x) + F_525(x) + F_527(x) + F_547(x))<br />
  
    Eq(F_522(x), F_523(x))<br />
  
    Eq(F_523(x), F_4(x)*F_524(x))<br />
  
    Eq(F_524(x), F_521(x))<br />
  
    Eq(F_525(x), F_526(x))<br />
  
    Eq(F_526(x), F_144(x)*F_16(x)*F_4(x))<br />
  
    Eq(F_527(x), F_4(x)*F_528(x))<br />
  
    Eq(F_528(x), F_529(x) - F_532(x))<br />
  
    Eq(F_529(x), F_530(x)/F_4(x))<br />
  
    Eq(F_530(x), F_531(x))<br />
  
    Eq(F_531(x), -F_16(x) + F_489(x))<br />
  
    Eq(F_532(x), F_533(x) + F_545(x))<br />
  
    Eq(F_533(x), F_534(x)/F_4(x))<br />
  
    Eq(F_534(x), -F_104(x) + F_13(x) - F_535(x) - F_541(x))<br />
  
    Eq(F_535(x), F_536(x))<br />
  
    Eq(F_536(x), F_4(x)*F_537(x))<br />
  
    Eq(F_537(x), F_538(x) + F_539(x))<br />
  
    Eq(F_538(x), F_141(x)*F_16(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_114(x)*F_141(x)*F_4(x))<br />
  
    Eq(F_541(x), F_4(x)*F_542(x))<br />
  
    Eq(F_542(x), F_13(x) + F_543(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_545(x), F_546(x))<br />
  
    Eq(F_546(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_4(x)*F_521(x))<br />
  
    Eq(F_549(x), F_514(x) + F_550(x))<br />
  
    Eq(F_550(x), F_551(x))<br />
  
    Eq(F_551(x), F_114(x)*F_353(x)*F_4(x))<br />
  
    Eq(F_552(x), F_553(x))<br />
  
    Eq(F_553(x), F_4(x)*F_554(x))<br />
  
    Eq(F_554(x), F_555(x) + F_559(x))<br />
  
    Eq(F_555(x), F_556(x) + F_557(x))<br />
  
    Eq(F_556(x), F_16(x)*F_323(x))<br />
  
    Eq(F_557(x), F_558(x))<br />
  
    Eq(F_558(x), F_114(x)*F_326(x)*F_4(x))<br />
  
    Eq(F_559(x), F_560(x))<br />
  
    Eq(F_560(x), F_114(x)*F_329(x)*F_4(x))<br />
  
    Eq(F_561(x), F_16(x)*F_4(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_req_corrob_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]]}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 3]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [2, 3], [3, 4]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1]], [[1, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: 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[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 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0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 4]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3], [2, 0], [2, 4], [2, 5], [4, 0], [4, 4], [4, 5]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 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0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 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&#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 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[3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, 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1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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[0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [2, 3]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 0], [0, 2], [0, 4], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, 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0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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&#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 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2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4], [2, 2], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], 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3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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[0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [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], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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[[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 6], [0, 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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[0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, 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0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [1, 5]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [2, 0], [2, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 3], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 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2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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[0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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[[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4], [2, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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&#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#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]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 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4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 6], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [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], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 3]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0], [1, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], 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[[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: 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[3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 5]], [[2, 1], [2, 4], [2, 6], [3, 0], [3, 4], [3, 6]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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&#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: 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[0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [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;, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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[1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.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], [2, 0], [2, 3], [2, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 5], [1, 0], [1, 4], [3, 0], [3, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 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[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 1], [3, 3], [3, 4], [3, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}], &#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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[0, 3], [0, 3], [0, 3], [0, 3]]}], &#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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[2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: 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2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 2], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3], [0, 4]], [[1, 2]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 0], [2, 1], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, 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[[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [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], [0, 5]], [[1, 1], [1, 4], [2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, 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[0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3]], [[1, 0], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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;: 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 7], [4, 0], [4, 7], [4, 7], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 5]], [[2, 1], [2, 6], [2, 7], [4, 0], [4, 6], [4, 7]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 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2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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;: 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: 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2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 5]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4], [3, 0], [3, 5]], [[2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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[[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 6], [1, 1], [1, 5]]}, {&#34;patt&#34;: 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0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [0, 7]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: 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[1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 1], [1, 4], [1, 5], [2, 0], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 6], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 1, 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[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[5, 7], [5, 0], [5, 0], [5, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 7], [5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 6], [5, 6], [5, 0], [5, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 7], [5, 7], [5, 0], [5, 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[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 2], [1, 4], [2, 5]], [[3, 1], [3, 6], [3, 7], [5, 0], [5, 6], [5, 7]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [2, 1], [2, 2], [2, 4]], [[1, 5]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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[[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 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[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 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[2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 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1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [1, 2], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [1, 1], [1, 3], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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[1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 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[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 4], [1, 5], [3, 0], [3, 4], [3, 5], [3, 6]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [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], [0, 3], [0, 4], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2], [3, 5], [3, 6]], [[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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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]]}, 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0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 1], [1, 6], [1, 7], [2, 8], [4, 0], [4, 6], [4, 7], [4, 8]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 6]], [[2, 1], [2, 7], [2, 8], [4, 0], [4, 7], [4, 8], [4, 9]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [0, 5], [1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [1, 4], [1, 5], [2, 6], [3, 0], [3, 4], [3, 5], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 5]]}, {&#34;patt&#34;: [1, 0], 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7], [2, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [2, 2], [2, 3], [3, 0], [3, 4], [3, 5], [4, 0], [4, 4], [4, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [2, 5], [3, 6]], [[4, 1], [4, 7], [4, 8], [6, 0], [6, 7], [6, 8]], [[5, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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[1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, 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1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [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;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], 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[[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;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;: 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 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[[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], 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4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: 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[0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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[[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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7], [3, 7], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], 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[{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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[2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#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;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, 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2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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[0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 6], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 6], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 6], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 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[[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;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [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], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 4], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 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&#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], 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2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 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[0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], 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1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], 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1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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[2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 0], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: 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1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#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;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 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[[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 7], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 7], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 7], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 7], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 7], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 7], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 7], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 7], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 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[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], 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&#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, 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&#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 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0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], 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[3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 4], [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], &#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;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: 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&#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 7], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [4, 7], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 7], [4, 0], [4, 6], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: 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[[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[0], &#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_and_col_placements_req_corrob_symmetries<br />
  Tree: http://permpal.com/tree/25171/<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[4,x]*F[5,x]<br />
  
    F[4,x] = x<br />
  
    F[5,x] = F[1,x]+F[561,x]+F[6,x]<br />
  
    F[6,x] = F[4,x]*F[7,x]<br />
  
    F[7,x] = F[5,x]+F[8,x]<br />
  
    F[8,x] = F[9,x]<br />
  
    F[9,x] = F[10,x]*F[4,x]<br />
  
    F[10,x] = F[11,x]+F[552,x]<br />
  
    F[11,x] = -F[549,x]+F[12,x]<br />
  
    F[12,x] = F[13,x]+F[521,x]<br />
  
    F[13,x] = F[14,x]+F[514,x]<br />
  
    F[14,x] = F[15,x]*F[16,x]<br />
  
    F[15,x] = 2+F[15,x]^2+(-2+x)*F[15,x]<br />
  
    F[16,x] = F[1,x]+F[17,x]+F[19,x]+F[488,x]<br />
  
    F[17,x] = F[18,x]*F[4,x]<br />
  
    F[18,x] = 1/F[4,x]*F[19,x]<br />
  
    F[19,x] = -F[1,x]-F[20,x]-F[488,x]+F[7,x]<br />
  
    F[20,x] = F[21,x]*F[4,x]<br />
  
    F[21,x] = F[22,x]+F[7,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[24,x]*F[4,x]<br />
  
    F[24,x] = F[25,x]+F[486,x]<br />
  
    F[25,x] = F[26,x]+F[484,x]<br />
  
    F[26,x] = F[27,x]+F[449,x]<br />
  
    F[27,x] = F[28,x]*F[7,x]<br />
  
    F[28,x] = F[15,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[31,x]*F[4,x]*F[448,x]<br />
  
    F[31,x] = -F[331,x]+F[32,x]<br />
  
    F[32,x] = 1/F[4,x]*F[33,x]<br />
  
    F[33,x] = -F[1,x]-F[36,x]+F[34,x]<br />
  
    F[34,x] = 1/F[4,x]*F[35,x]<br />
  
    F[35,x] = F[2,x]<br />
  
    F[36,x] = F[37,x]*F[4,x]<br />
  
    F[37,x] = F[38,x]+F[5,x]<br />
  
    F[38,x] = F[39,x]+F[45,x]<br />
  
    F[39,x] = F[2,x]+F[40,x]<br />
  
    F[40,x] = F[41,x]+F[42,x]+F[44,x]<br />
  
    F[41,x] = 0<br />
  
    F[42,x] = F[4,x]*F[43,x]<br />
  
    F[43,x] = -F[5,x]+F[32,x]<br />
  
    F[44,x] = F[38,x]*F[4,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[4,x]*F[47,x]<br />
  
    F[47,x] = F[48,x]+F[56,x]<br />
  
    F[48,x] = F[49,x]*F[53,x]<br />
  
    F[49,x] = F[41,x]+F[50,x]+F[52,x]<br />
  
    F[50,x] = F[4,x]*F[51,x]<br />
  
    F[51,x] = F[45,x]+F[49,x]<br />
  
    F[52,x] = F[32,x]*F[4,x]<br />
  
    F[53,x] = F[1,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[4,x]*F[53,x]<br />
  
    F[56,x] = F[441,x]+F[57,x]<br />
  
    F[57,x] = F[437,x]+F[58,x]<br />
  
    F[58,x] = F[41,x]+F[59,x]+F[60,x]<br />
  
    F[59,x] = F[4,x]*F[57,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[4,x]*F[62,x]<br />
  
    F[62,x] = F[435,x]+F[63,x]<br />
  
    F[63,x] = F[423,x]+F[424,x]+F[64,x]<br />
  
    F[64,x] = F[1,x]+F[416,x]+F[422,x]+F[65,x]<br />
  
    F[65,x] = F[4,x]*F[66,x]<br />
  
    F[66,x] = F[64,x]+F[67,x]<br />
  
    F[67,x] = F[68,x]<br />
  
    F[68,x] = -F[32,x]+F[69,x]<br />
  
    F[69,x] = 1/F[4,x]*F[70,x]<br />
  
    F[70,x] = -F[1,x]-F[415,x]-F[71,x]+F[37,x]<br />
  
    F[71,x] = F[4,x]*F[72,x]<br />
  
    F[72,x] = F[37,x]+F[73,x]<br />
  
    F[73,x] = F[74,x]<br />
  
    F[74,x] = F[75,x]+F[81,x]<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[4,x]*F[53,x]*F[77,x]<br />
  
    F[77,x] = F[78,x]+F[80,x]<br />
  
    F[78,x] = F[53,x]+F[79,x]<br />
  
    F[79,x] = F[76,x]<br />
  
    F[80,x] = F[74,x]<br />
  
    F[81,x] = 1/F[53,x]*F[82,x]<br />
  
    F[82,x] = -F[117,x]+F[83,x]<br />
  
    F[83,x] = F[84,x]<br />
  
    F[84,x] = F[4,x]*F[85,x]<br />
  
    F[85,x] = F[86,x]+F[96,x]<br />
  
    F[86,x] = 1/F[4,x]*F[87,x]<br />
  
    F[87,x] = F[88,x]<br />
  
    F[88,x] = F[41,x]+F[89,x]+F[92,x]+F[94,x]<br />
  
    F[89,x] = F[4,x]*F[90,x]<br />
  
    F[90,x] = 1/F[4,x]*F[91,x]<br />
  
    F[91,x] = F[43,x]<br />
  
    F[92,x] = F[93,x]<br />
  
    F[93,x] = F[4,x]*F[53,x]*F[68,x]<br />
  
    F[94,x] = F[95,x]<br />
  
    F[95,x] = F[4,x]*F[88,x]<br />
  
    F[96,x] = F[97,x]<br />
  
    F[97,x] = F[103,x]*F[4,x]*F[98,x]<br />
  
    F[98,x] = F[102,x]+F[78,x]+F[99,x]<br />
  
    F[99,x] = F[100,x]*F[4,x]<br />
  
    F[100,x] = 1/F[4,x]*F[101,x]<br />
  
    F[101,x] = F[74,x]<br />
  
    F[102,x] = F[4,x]*F[98,x]<br />
  
    F[103,x] = F[104,x]+F[112,x]+F[113,x]<br />
  
    F[104,x] = F[105,x]+F[15,x]<br />
  
    F[105,x] = F[106,x]+F[110,x]+F[41,x]<br />
  
    F[106,x] = F[107,x]*F[4,x]<br />
  
    F[107,x] = F[104,x]+F[108,x]<br />
  
    F[108,x] = F[109,x]<br />
  
    F[109,x] = F[103,x]*F[4,x]<br />
  
    F[110,x] = -F[41,x]-F[6,x]+F[111,x]<br />
  
    F[111,x] = -F[15,x]+F[5,x]<br />
  
    F[112,x] = F[103,x]*F[4,x]<br />
  
    F[113,x] = F[114,x]*F[4,x]<br />
  
    F[114,x] = 1/F[4,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = -F[16,x]+F[18,x]<br />
  
    F[117,x] = F[118,x]<br />
  
    F[118,x] = F[119,x]+F[132,x]<br />
  
    F[119,x] = F[120,x]*F[79,x]<br />
  
    F[120,x] = F[1,x]+F[121,x]<br />
  
    F[121,x] = F[122,x]<br />
  
    F[122,x] = F[123,x]*F[4,x]<br />
  
    F[123,x] = F[124,x]+F[125,x]<br />
  
    F[124,x] = F[1,x]+F[4,x]<br />
  
    F[125,x] = F[121,x]+F[126,x]<br />
  
    F[126,x] = F[127,x]+F[131,x]+F[41,x]<br />
  
    F[127,x] = F[128,x]*F[4,x]<br />
  
    F[128,x] = F[129,x]+F[130,x]<br />
  
    F[129,x] = F[4,x]<br />
  
    F[130,x] = F[126,x]<br />
  
    F[131,x] = F[121,x]*F[4,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]*F[4,x]<br />
  
    F[134,x] = F[135,x]+F[411,x]<br />
  
    F[135,x] = F[136,x]*F[79,x]<br />
  
    F[136,x] = 1/F[4,x]*F[137,x]<br />
  
    F[137,x] = F[138,x]<br />
  
    F[138,x] = F[139,x]+F[143,x]+F[41,x]<br />
  
    F[139,x] = F[140,x]*F[4,x]<br />
  
    F[140,x] = -F[396,x]+F[141,x]<br />
  
    F[141,x] = 1/F[4,x]*F[142,x]<br />
  
    F[142,x] = -F[1,x]-F[143,x]+F[104,x]<br />
  
    F[143,x] = F[144,x]*F[4,x]<br />
  
    F[144,x] = F[104,x]+F[145,x]<br />
  
    F[145,x] = F[146,x]<br />
  
    F[146,x] = F[147,x]*F[4,x]<br />
  
    F[147,x] = F[148,x]+F[337,x]<br />
  
    F[148,x] = F[149,x]+F[278,x]<br />
  
    F[149,x] = F[150,x]+F[218,x]<br />
  
    F[150,x] = 1/F[4,x]*F[151,x]<br />
  
    F[151,x] = -F[1,x]-F[242,x]+F[152,x]<br />
  
    F[152,x] = F[0,x]+F[153,x]<br />
  
    F[153,x] = F[154,x]<br />
  
    F[154,x] = F[155,x]*F[4,x]<br />
  
    F[155,x] = F[156,x]+F[240,x]<br />
  
    F[156,x] = F[0,x]+F[157,x]+F[239,x]<br />
  
    F[157,x] = F[158,x]<br />
  
    F[158,x] = F[159,x]*F[4,x]<br />
  
    F[159,x] = F[160,x]+F[231,x]<br />
  
    F[160,x] = F[161,x]*F[34,x]<br />
  
    F[161,x] = F[162,x]+F[167,x]<br />
  
    F[162,x] = F[1,x]+F[163,x]<br />
  
    F[163,x] = F[164,x]*F[4,x]<br />
  
    F[164,x] = F[165,x]+F[53,x]<br />
  
    F[165,x] = F[166,x]<br />
  
    F[166,x] = F[162,x]*F[164,x]*F[4,x]*F[53,x]<br />
  
    F[167,x] = F[168,x]+F[198,x]+F[41,x]<br />
  
    F[168,x] = F[169,x]*F[4,x]<br />
  
    F[169,x] = F[161,x]+F[170,x]<br />
  
    F[170,x] = F[171,x]<br />
  
    F[171,x] = F[172,x]*F[192,x]*F[4,x]<br />
  
    F[172,x] = F[173,x]+F[53,x]<br />
  
    F[173,x] = F[121,x]+F[174,x]<br />
  
    F[174,x] = F[175,x]+F[191,x]+F[41,x]<br />
  
    F[175,x] = F[176,x]*F[4,x]<br />
  
    F[176,x] = F[177,x]+F[182,x]<br />
  
    F[177,x] = F[178,x]+F[54,x]<br />
  
    F[178,x] = F[179,x]+F[180,x]+F[41,x]<br />
  
    F[179,x] = F[4,x]*F[54,x]<br />
  
    F[180,x] = F[181,x]*F[4,x]<br />
  
    F[181,x] = F[178,x]+F[4,x]<br />
  
    F[182,x] = F[174,x]+F[183,x]<br />
  
    F[183,x] = F[184,x]+F[188,x]+F[189,x]+F[41,x]<br />
  
    F[184,x] = F[185,x]*F[4,x]<br />
  
    F[185,x] = F[186,x]+F[187,x]<br />
  
    F[186,x] = F[178,x]<br />
  
    F[187,x] = F[183,x]<br />
  
    F[188,x] = F[174,x]*F[4,x]<br />
  
    F[189,x] = F[190,x]*F[4,x]<br />
  
    F[190,x] = F[126,x]+F[183,x]<br />
  
    F[191,x] = F[173,x]*F[4,x]<br />
  
    F[192,x] = F[193,x]+F[53,x]<br />
  
    F[193,x] = F[194,x]+F[54,x]<br />
  
    F[194,x] = F[195,x]+F[197,x]+F[41,x]<br />
  
    F[195,x] = F[196,x]*F[4,x]<br />
  
    F[196,x] = F[194,x]+F[54,x]<br />
  
    F[197,x] = F[193,x]*F[4,x]<br />
  
    F[198,x] = F[199,x]*F[4,x]<br />
  
    F[199,x] = -F[164,x]+F[200,x]<br />
  
    F[200,x] = 1/F[4,x]*F[201,x]<br />
  
    F[201,x] = -F[1,x]-F[202,x]-F[205,x]+F[150,x]<br />
  
    F[202,x] = F[203,x]*F[4,x]<br />
  
    F[203,x] = F[150,x]+F[204,x]<br />
  
    F[204,x] = F[170,x]<br />
  
    F[205,x] = F[206,x]*F[4,x]<br />
  
    F[206,x] = -F[217,x]+F[207,x]<br />
  
    F[207,x] = F[149,x]+F[208,x]<br />
  
    F[208,x] = F[209,x]<br />
  
    F[209,x] = F[207,x]*F[210,x]*F[4,x]<br />
  
    F[210,x] = F[162,x]+F[211,x]<br />
  
    F[211,x] = F[212,x]+F[54,x]<br />
  
    F[212,x] = F[213,x]<br />
  
    F[213,x] = F[214,x]*F[4,x]<br />
  
    F[214,x] = F[215,x]+F[216,x]<br />
  
    F[215,x] = F[162,x]*F[211,x]<br />
  
    F[216,x] = F[210,x]*F[211,x]<br />
  
    F[217,x] = F[218,x]+F[229,x]<br />
  
    F[218,x] = F[219,x]+F[227,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = F[221,x]*F[4,x]<br />
  
    F[221,x] = 1/F[4,x]*F[222,x]<br />
  
    F[222,x] = -F[161,x]-F[223,x]+F[136,x]<br />
  
    F[223,x] = F[224,x]<br />
  
    F[224,x] = F[225,x]*F[4,x]<br />
  
    F[225,x] = 1/F[4,x]*F[226,x]<br />
  
    F[226,x] = F[140,x]<br />
  
    F[227,x] = F[228,x]<br />
  
    F[228,x] = F[217,x]*F[4,x]*F[53,x]<br />
  
    F[229,x] = F[230,x]<br />
  
    F[230,x] = F[210,x]*F[217,x]*F[4,x]<br />
  
    F[231,x] = F[232,x]+F[234,x]+F[235,x]+F[41,x]<br />
  
    F[232,x] = F[233,x]<br />
  
    F[233,x] = F[231,x]*F[4,x]<br />
  
    F[234,x] = F[161,x]*F[34,x]*F[4,x]<br />
  
    F[235,x] = F[236,x]*F[4,x]<br />
  
    F[236,x] = F[231,x]+F[237,x]<br />
  
    F[237,x] = F[238,x]<br />
  
    F[238,x] = F[210,x]*F[236,x]*F[4,x]<br />
  
    F[239,x] = F[153,x]<br />
  
    F[240,x] = F[241,x]<br />
  
    F[241,x] = F[155,x]*F[210,x]*F[4,x]<br />
  
    F[242,x] = F[243,x]*F[4,x]<br />
  
    F[243,x] = F[244,x]+F[5,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[246,x]*F[4,x]<br />
  
    F[246,x] = F[247,x]+F[268,x]<br />
  
    F[247,x] = F[248,x]+F[251,x]<br />
  
    F[248,x] = F[150,x]+F[249,x]<br />
  
    F[249,x] = F[250,x]<br />
  
    F[250,x] = F[246,x]*F[4,x]<br />
  
    F[251,x] = F[252,x]+F[266,x]<br />
  
    F[252,x] = F[253,x]+F[265,x]+F[49,x]<br />
  
    F[253,x] = F[254,x]<br />
  
    F[254,x] = F[255,x]*F[4,x]<br />
  
    F[255,x] = F[256,x]+F[257,x]<br />
  
    F[256,x] = F[161,x]*F[51,x]<br />
  
    F[257,x] = F[258,x]+F[260,x]+F[261,x]+F[41,x]<br />
  
    F[258,x] = F[259,x]<br />
  
    F[259,x] = F[257,x]*F[4,x]<br />
  
    F[260,x] = F[161,x]*F[4,x]*F[51,x]<br />
  
    F[261,x] = F[262,x]*F[4,x]<br />
  
    F[262,x] = F[257,x]+F[263,x]<br />
  
    F[263,x] = F[264,x]<br />
  
    F[264,x] = F[210,x]*F[262,x]*F[4,x]<br />
  
    F[265,x] = F[251,x]*F[4,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[210,x]*F[251,x]*F[4,x]<br />
  
    F[268,x] = F[269,x]+F[276,x]<br />
  
    F[269,x] = F[270,x]+F[273,x]+F[275,x]+F[41,x]<br />
  
    F[270,x] = F[271,x]<br />
  
    F[271,x] = F[272,x]*F[4,x]<br />
  
    F[272,x] = F[269,x]<br />
  
    F[273,x] = F[274,x]<br />
  
    F[274,x] = F[161,x]*F[32,x]*F[4,x]<br />
  
    F[275,x] = F[268,x]*F[4,x]<br />
  
    F[276,x] = F[277,x]<br />
  
    F[277,x] = F[210,x]*F[268,x]*F[4,x]<br />
  
    F[278,x] = F[279,x]<br />
  
    F[279,x] = F[280,x]*F[4,x]<br />
  
    F[280,x] = F[281,x]+F[284,x]<br />
  
    F[281,x] = F[148,x]+F[282,x]<br />
  
    F[282,x] = F[283,x]<br />
  
    F[283,x] = F[148,x]*F[4,x]*F[53,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[286,x]*F[4,x]*F[53,x]<br />
  
    F[286,x] = F[287,x]+F[335,x]<br />
  
    F[287,x] = 1/F[40,x]*F[288,x]<br />
  
    F[288,x] = F[289,x]<br />
  
    F[289,x] = -F[334,x]+F[290,x]<br />
  
    F[290,x] = F[291,x]<br />
  
    F[291,x] = F[292,x]*F[4,x]<br />
  
    F[292,x] = 1/F[4,x]*F[293,x]<br />
  
    F[293,x] = F[294,x]<br />
  
    F[294,x] = -F[319,x]+F[295,x]<br />
  
    F[295,x] = 1/F[4,x]*F[296,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[298,x]*F[4,x]<br />
  
    F[298,x] = F[299,x]+F[312,x]<br />
  
    F[299,x] = F[300,x]+F[305,x]+F[41,x]<br />
  
    F[300,x] = F[301,x]<br />
  
    F[301,x] = F[302,x]*F[4,x]<br />
  
    F[302,x] = F[303,x]+F[304,x]<br />
  
    F[303,x] = F[161,x]*F[37,x]<br />
  
    F[304,x] = F[231,x]+F[257,x]<br />
  
    F[305,x] = F[306,x]*F[4,x]<br />
  
    F[306,x] = F[299,x]+F[307,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[309,x]*F[4,x]<br />
  
    F[309,x] = F[310,x]+F[311,x]<br />
  
    F[310,x] = F[162,x]*F[306,x]<br />
  
    F[311,x] = F[211,x]*F[247,x]<br />
  
    F[312,x] = -F[316,x]+F[313,x]<br />
  
    F[313,x] = 1/F[4,x]*F[314,x]<br />
  
    F[314,x] = F[315,x]<br />
  
    F[315,x] = -F[153,x]+F[43,x]<br />
  
    F[316,x] = F[252,x]+F[317,x]<br />
  
    F[317,x] = F[318,x]<br />
  
    F[318,x] = F[210,x]*F[313,x]*F[4,x]<br />
  
    F[319,x] = F[167,x]*F[320,x]<br />
  
    F[320,x] = F[15,x]+F[321,x]<br />
  
    F[321,x] = F[322,x]<br />
  
    F[322,x] = F[323,x]*F[4,x]<br />
  
    F[323,x] = F[324,x]+F[328,x]+F[5,x]<br />
  
    F[324,x] = F[325,x]<br />
  
    F[325,x] = F[326,x]*F[4,x]<br />
  
    F[326,x] = 1/F[4,x]*F[327,x]<br />
  
    F[327,x] = F[38,x]<br />
  
    F[328,x] = F[329,x]*F[4,x]<br />
  
    F[329,x] = 1/F[4,x]*F[330,x]<br />
  
    F[330,x] = F[331,x]<br />
  
    F[331,x] = 1/F[4,x]*F[332,x]<br />
  
    F[332,x] = -F[333,x]-F[41,x]+F[111,x]<br />
  
    F[333,x] = F[37,x]*F[4,x]<br />
  
    F[334,x] = F[2,x]*F[221,x]<br />
  
    F[335,x] = F[336,x]<br />
  
    F[336,x] = F[210,x]*F[286,x]*F[4,x]<br />
  
    F[337,x] = F[338,x]<br />
  
    F[338,x] = F[339,x]*F[4,x]<br />
  
    F[339,x] = F[340,x]+F[385,x]<br />
  
    F[340,x] = 1/F[4,x]*F[341,x]<br />
  
    F[341,x] = F[342,x]<br />
  
    F[342,x] = -F[148,x]+F[343,x]<br />
  
    F[343,x] = F[344,x]+F[346,x]<br />
  
    F[344,x] = F[345,x]<br />
  
    F[345,x] = F[104,x]*F[162,x]*F[31,x]<br />
  
    F[346,x] = F[347,x]<br />
  
    F[347,x] = F[348,x]*F[4,x]<br />
  
    F[348,x] = F[349,x]+F[383,x]<br />
  
    F[349,x] = F[104,x]*F[350,x]<br />
  
    F[350,x] = 1/F[4,x]*F[351,x]<br />
  
    F[351,x] = F[352,x]<br />
  
    F[352,x] = F[353,x]+F[378,x]<br />
  
    F[353,x] = F[354,x]+F[358,x]+F[377,x]+F[41,x]<br />
  
    F[354,x] = F[355,x]*F[4,x]<br />
  
    F[355,x] = F[144,x]+F[356,x]<br />
  
    F[356,x] = F[357,x]<br />
  
    F[357,x] = F[287,x]*F[4,x]<br />
  
    F[358,x] = -F[359,x]-F[377,x]-F[41,x]+F[331,x]<br />
  
    F[359,x] = F[360,x]*F[4,x]<br />
  
    F[360,x] = 1/F[4,x]*F[361,x]<br />
  
    F[361,x] = -F[1,x]-F[362,x]-F[376,x]+F[7,x]<br />
  
    F[362,x] = F[363,x]*F[4,x]<br />
  
    F[363,x] = 1/F[4,x]*F[364,x]<br />
  
    F[364,x] = -F[1,x]-F[365,x]-F[369,x]+F[37,x]<br />
  
    F[365,x] = F[366,x]*F[4,x]<br />
  
    F[366,x] = F[32,x]+F[367,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[210,x]*F[366,x]*F[4,x]<br />
  
    F[369,x] = -F[1,x]-F[370,x]-F[371,x]+F[141,x]<br />
  
    F[370,x] = F[210,x]*F[4,x]<br />
  
    F[371,x] = F[372,x]*F[4,x]<br />
  
    F[372,x] = 1/F[4,x]*F[373,x]<br />
  
    F[373,x] = -F[1,x]-F[374,x]-F[375,x]+F[107,x]<br />
  
    F[374,x] = F[210,x]*F[4,x]<br />
  
    F[375,x] = F[355,x]*F[4,x]<br />
  
    F[376,x] = F[366,x]*F[4,x]<br />
  
    F[377,x] = F[352,x]*F[4,x]<br />
  
    F[378,x] = F[379,x]<br />
  
    F[379,x] = F[380,x]*F[4,x]<br />
  
    F[380,x] = F[381,x]+F[382,x]<br />
  
    F[381,x] = F[162,x]*F[352,x]<br />
  
    F[382,x] = F[149,x]*F[211,x]<br />
  
    F[383,x] = F[286,x]*F[384,x]<br />
  
    F[384,x] = -F[104,x]+F[141,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = F[286,x]*F[387,x]*F[4,x]<br />
  
    F[387,x] = 1/F[4,x]*F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = -F[104,x]-F[392,x]+F[390,x]<br />
  
    F[390,x] = 1/F[4,x]*F[391,x]<br />
  
    F[391,x] = F[138,x]<br />
  
    F[392,x] = F[393,x]<br />
  
    F[393,x] = F[394,x]*F[4,x]<br />
  
    F[394,x] = 1/F[4,x]*F[395,x]<br />
  
    F[395,x] = F[140,x]<br />
  
    F[396,x] = F[120,x]+F[397,x]<br />
  
    F[397,x] = F[398,x]+F[54,x]<br />
  
    F[398,x] = F[399,x]<br />
  
    F[399,x] = F[4,x]*F[400,x]<br />
  
    F[400,x] = F[401,x]+F[404,x]<br />
  
    F[401,x] = F[402,x]+F[54,x]<br />
  
    F[402,x] = F[403,x]<br />
  
    F[403,x] = F[4,x]*F[54,x]<br />
  
    F[404,x] = F[398,x]+F[405,x]<br />
  
    F[405,x] = 2*F[41,x]+F[406,x]+F[410,x]<br />
  
    F[406,x] = F[4,x]*F[407,x]<br />
  
    F[407,x] = F[408,x]+F[409,x]<br />
  
    F[408,x] = F[402,x]<br />
  
    F[409,x] = F[405,x]<br />
  
    F[410,x] = F[398,x]*F[4,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[103,x]*F[413,x]<br />
  
    F[413,x] = F[414,x]+F[79,x]<br />
  
    F[414,x] = F[81,x]<br />
  
    F[415,x] = F[4,x]*F[72,x]<br />
  
    F[416,x] = F[4,x]*F[417,x]<br />
  
    F[417,x] = 1/F[4,x]*F[418,x]<br />
  
    F[418,x] = -F[1,x]-F[420,x]-F[421,x]+F[419,x]<br />
  
    F[419,x] = F[34,x]+F[74,x]<br />
  
    F[420,x] = F[4,x]*F[69,x]<br />
  
    F[421,x] = F[4,x]*F[72,x]<br />
  
    F[422,x] = F[4,x]*F[64,x]<br />
  
    F[423,x] = F[4,x]*F[63,x]<br />
  
    F[424,x] = F[425,x]<br />
  
    F[425,x] = F[4,x]*F[426,x]<br />
  
    F[426,x] = F[427,x]+F[62,x]<br />
  
    F[427,x] = F[428,x]<br />
  
    F[428,x] = F[4,x]*F[429,x]<br />
  
    F[429,x] = 1/F[4,x]*F[430,x]<br />
  
    F[430,x] = F[431,x]<br />
  
    F[431,x] = F[4,x]*F[432,x]*F[53,x]<br />
  
    F[432,x] = 1/F[4,x]*F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = -F[64,x]+F[417,x]<br />
  
    F[435,x] = F[436,x]<br />
  
    F[436,x] = F[210,x]*F[4,x]*F[62,x]<br />
  
    F[437,x] = F[438,x]*F[53,x]<br />
  
    F[438,x] = F[439,x]<br />
  
    F[439,x] = F[210,x]*F[4,x]*F[440,x]<br />
  
    F[440,x] = F[438,x]+F[49,x]<br />
  
    F[441,x] = F[442,x]<br />
  
    F[442,x] = F[210,x]*F[4,x]*F[443,x]<br />
  
    F[443,x] = F[441,x]+F[444,x]<br />
  
    F[444,x] = F[43,x]+F[445,x]<br />
  
    F[445,x] = F[446,x]<br />
  
    F[446,x] = F[4,x]*F[447,x]<br />
  
    F[447,x] = F[443,x]+F[57,x]<br />
  
    F[448,x] = F[31,x]<br />
  
    F[449,x] = F[450,x]+F[452,x]<br />
  
    F[450,x] = F[28,x]*F[451,x]<br />
  
    F[451,x] = 1/F[4,x]*F[110,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[4,x]*F[454,x]<br />
  
    F[454,x] = F[455,x]+F[461,x]<br />
  
    F[455,x] = F[451,x]*F[456,x]<br />
  
    F[456,x] = 1/F[4,x]*F[457,x]<br />
  
    F[457,x] = -F[28,x]-F[458,x]+F[323,x]<br />
  
    F[458,x] = F[4,x]*F[459,x]<br />
  
    F[459,x] = 1/F[4,x]*F[460,x]<br />
  
    F[460,x] = F[451,x]<br />
  
    F[461,x] = F[462,x]<br />
  
    F[462,x] = F[114,x]*F[4,x]*F[463,x]<br />
  
    F[463,x] = 1/F[4,x]*F[464,x]<br />
  
    F[464,x] = F[465,x]<br />
  
    F[465,x] = -F[466,x]-F[467,x]-F[476,x]+F[326,x]<br />
  
    F[466,x] = F[162,x]*F[31,x]<br />
  
    F[467,x] = F[4,x]*F[468,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[162,x]*F[329,x]<br />
  
    F[470,x] = F[471,x]<br />
  
    F[471,x] = F[162,x]*F[4,x]*F[472,x]*F[53,x]<br />
  
    F[472,x] = F[473,x]+F[474,x]<br />
  
    F[473,x] = F[162,x]*F[366,x]<br />
  
    F[474,x] = F[475,x]<br />
  
    F[475,x] = F[162,x]*F[210,x]*F[4,x]*F[472,x]<br />
  
    F[476,x] = F[477,x]<br />
  
    F[477,x] = F[4,x]*F[478,x]<br />
  
    F[478,x] = 1/F[4,x]*F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = 1/F[4,x]*F[481,x]<br />
  
    F[481,x] = -F[365,x]-F[41,x]-F[482,x]+F[38,x]<br />
  
    F[482,x] = F[4,x]*F[483,x]<br />
  
    F[483,x] = -F[7,x]+F[363,x]<br />
  
    F[484,x] = F[485,x]<br />
  
    F[485,x] = F[114,x]*F[366,x]*F[4,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = F[114,x]*F[360,x]*F[4,x]<br />
  
    F[488,x] = F[4,x]*F[489,x]<br />
  
    F[489,x] = F[16,x]+F[490,x]<br />
  
    F[490,x] = F[491,x]<br />
  
    F[491,x] = F[4,x]*F[492,x]<br />
  
    F[492,x] = F[493,x]+F[512,x]<br />
  
    F[493,x] = F[494,x]+F[507,x]<br />
  
    F[494,x] = F[495,x]+F[496,x]<br />
  
    F[495,x] = F[16,x]*F[28,x]<br />
  
    F[496,x] = 1/F[4,x]*F[497,x]<br />
  
    F[497,x] = -F[451,x]-F[505,x]+F[498,x]<br />
  
    F[498,x] = F[499,x]<br />
  
    F[499,x] = F[4,x]*F[500,x]<br />
  
    F[500,x] = F[501,x]+F[504,x]<br />
  
    F[501,x] = F[5,x]*F[502,x]<br />
  
    F[502,x] = 1/F[4,x]*F[503,x]<br />
  
    F[503,x] = F[451,x]<br />
  
    F[504,x] = F[114,x]*F[38,x]<br />
  
    F[505,x] = F[4,x]*F[506,x]<br />
  
    F[506,x] = F[449,x]+F[484,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[114,x]*F[4,x]*F[509,x]<br />
  
    F[509,x] = 1/F[4,x]*F[510,x]<br />
  
    F[510,x] = -F[1,x]-F[359,x]-F[511,x]+F[32,x]<br />
  
    F[511,x] = F[149,x]*F[4,x]<br />
  
    F[512,x] = F[513,x]<br />
  
    F[513,x] = F[114,x]*F[149,x]*F[4,x]<br />
  
    F[514,x] = F[515,x]+F[516,x]<br />
  
    F[515,x] = F[105,x]*F[28,x]<br />
  
    F[516,x] = F[517,x]<br />
  
    F[517,x] = F[4,x]*F[518,x]<br />
  
    F[518,x] = F[519,x]+F[520,x]<br />
  
    F[519,x] = F[105,x]*F[502,x]<br />
  
    F[520,x] = F[114,x]*F[384,x]<br />
  
    F[521,x] = F[41,x]+F[522,x]+F[525,x]+F[527,x]+F[547,x]<br />
  
    F[522,x] = F[523,x]<br />
  
    F[523,x] = F[4,x]*F[524,x]<br />
  
    F[524,x] = F[521,x]<br />
  
    F[525,x] = F[526,x]<br />
  
    F[526,x] = F[144,x]*F[16,x]*F[4,x]<br />
  
    F[527,x] = F[4,x]*F[528,x]<br />
  
    F[528,x] = -F[532,x]+F[529,x]<br />
  
    F[529,x] = 1/F[4,x]*F[530,x]<br />
  
    F[530,x] = F[531,x]<br />
  
    F[531,x] = -F[16,x]+F[489,x]<br />
  
    F[532,x] = F[533,x]+F[545,x]<br />
  
    F[533,x] = 1/F[4,x]*F[534,x]<br />
  
    F[534,x] = -F[104,x]-F[535,x]-F[541,x]+F[13,x]<br />
  
    F[535,x] = F[536,x]<br />
  
    F[536,x] = F[4,x]*F[537,x]<br />
  
    F[537,x] = F[538,x]+F[539,x]<br />
  
    F[538,x] = F[141,x]*F[16,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[114,x]*F[141,x]*F[4,x]<br />
  
    F[541,x] = F[4,x]*F[542,x]<br />
  
    F[542,x] = F[13,x]+F[543,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[545,x] = F[546,x]<br />
  
    F[546,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[4,x]*F[521,x]<br />
  
    F[549,x] = F[514,x]+F[550,x]<br />
  
    F[550,x] = F[551,x]<br />
  
    F[551,x] = F[114,x]*F[353,x]*F[4,x]<br />
  
    F[552,x] = F[553,x]<br />
  
    F[553,x] = F[4,x]*F[554,x]<br />
  
    F[554,x] = F[555,x]+F[559,x]<br />
  
    F[555,x] = F[556,x]+F[557,x]<br />
  
    F[556,x] = F[16,x]*F[323,x]<br />
  
    F[557,x] = F[558,x]<br />
  
    F[558,x] = F[114,x]*F[326,x]*F[4,x]<br />
  
    F[559,x] = F[560,x]<br />
  
    F[560,x] = F[114,x]*F[329,x]*F[4,x]<br />
  
    F[561,x] = F[16,x]*F[4,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_{4}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = x<br />
  
    F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{561}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{5}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{552}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = -F_{549}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{15}\! \left(x \right) x +F_{15} \left(x \right)^{2}-2 F_{15}\! \left(x \right)+2<br />
  
    F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)+F_{19}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{20}\! \left(x \right)-F_{488}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{486}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{15}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right) F_{448}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{36}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{35}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{45}\! \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_{41}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = 0<br />
  
    F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{41}\! \left(x \right)+F_{50}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{441}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{437}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{41}\! \left(x \right)+F_{59}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{435}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{423}\! \left(x \right)+F_{424}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{1}\! \left(x \right)+F_{416}\! \left(x \right)+F_{422}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{64}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{70}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{415}\! \left(x \right)-F_{71}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{37}\! \left(x \right)+F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{53}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{53}\! \left(x \right)}<br />
  
    F_{82}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{87}\! \left(x \right) = F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{41}\! \left(x \right)+F_{89}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{91}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{102}\! \left(x \right)+F_{78}\! \left(x \right)+F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{101}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{112}\! \left(x \right)+F_{113}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{15}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{110}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{104}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = -F_{41}\! \left(x \right)-F_{6}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{131}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{4}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{411}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{143}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = -F_{396}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{142}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{143}\! \left(x \right)+F_{104}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{104}\! \left(x \right)+F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{278}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{151}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{242}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{0}\! \left(x \right)+F_{153}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{240}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{0}\! \left(x \right)+F_{157}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{167}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{1}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{162}\! \left(x \right) F_{164}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{198}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{161}\! \left(x \right)+F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{192}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{121}\! \left(x \right)+F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{191}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{180}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{178}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{174}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{188}\! \left(x \right)+F_{189}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{178}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{183}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{174}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{126}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{197}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{193}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{201}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{202}\! \left(x \right)-F_{205}\! \left(x \right)+F_{150}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{150}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{149}\! \left(x \right)+F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{207}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{162}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{162}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{210}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{227}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{222}\! \left(x \right) = -F_{161}\! \left(x \right)-F_{223}\! \left(x \right)+F_{136}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{226}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = F_{210}\! \left(x \right) F_{217}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{234}\! \left(x \right)+F_{235}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{231}\! \left(x \right)+F_{237}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{210}\! \left(x \right) F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{153}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{155}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{251}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{150}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{265}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{161}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{260}\! \left(x \right)+F_{261}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{257}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{257}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{210}\! \left(x \right) F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{210}\! \left(x \right) F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{276}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{273}\! \left(x \right)+F_{275}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{161}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{210}\! \left(x \right) F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{284}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{148}\! \left(x \right)+F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{286}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{335}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{40}\! \left(x \right)}<br />
  
    F_{288}\! \left(x \right) = F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{290}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{293}\! \left(x \right) = F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = -F_{319}\! \left(x \right)+F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = \frac{F_{296}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{305}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{161}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{231}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{299}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{162}\! \left(x \right) F_{306}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{211}\! \left(x \right) F_{247}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = \frac{F_{314}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{252}\! \left(x \right)+F_{317}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{318}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{210}\! \left(x \right) F_{313}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{167}\! \left(x \right) F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{15}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{322}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{328}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{327}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = \frac{F_{330}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{330}\! \left(x \right) = F_{331}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = \frac{F_{332}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{332}\! \left(x \right) = -F_{333}\! \left(x \right)-F_{41}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{2}\! \left(x \right) F_{221}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{210}\! \left(x \right) F_{286}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = \frac{F_{341}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{104}\! \left(x \right) F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{104}\! \left(x \right) F_{350}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{351}\! \left(x \right) = F_{352}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{378}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{358}\! \left(x \right)+F_{377}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{144}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{287}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = -F_{359}\! \left(x \right)-F_{377}\! \left(x \right)-F_{41}\! \left(x \right)+F_{331}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{361}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{362}\! \left(x \right)-F_{376}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{363}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = \frac{F_{364}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{364}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{365}\! \left(x \right)-F_{369}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{32}\! \left(x \right)+F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{210}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{370}\! \left(x \right)-F_{371}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{373}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{374}\! \left(x \right)-F_{375}\! \left(x \right)+F_{107}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{352}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{162}\! \left(x \right) F_{352}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{149}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{286}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{286}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = \frac{F_{388}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{392}\! \left(x \right)+F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{391}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = \frac{F_{395}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{395}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{120}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{4}\! \left(x \right) F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{404}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{398}\! \left(x \right)+F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = 2 F_{41}\! \left(x \right)+F_{406}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{4}\! \left(x \right) F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{402}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{405}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{398}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{103}\! \left(x \right) F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = \frac{F_{418}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{418}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{420}\! \left(x \right)-F_{421}\! \left(x \right)+F_{419}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{34}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{4}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{4}\! \left(x \right) F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{4}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = \frac{F_{430}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{430}\! \left(x \right) = F_{431}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{4}\! \left(x \right) F_{432}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = \frac{F_{433}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{438}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{441}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{43}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{4}\! \left(x \right) F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{443}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{28}\! \left(x \right) F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{4}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{461}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{451}\! \left(x \right) F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = \frac{F_{457}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{457}\! \left(x \right) = -F_{28}\! \left(x \right)-F_{458}\! \left(x \right)+F_{323}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{4}\! \left(x \right) F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{460}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{464}\! \left(x \right) = F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = -F_{466}\! \left(x \right)-F_{467}\! \left(x \right)-F_{476}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{4}\! \left(x \right) F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{162}\! \left(x \right) F_{329}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)+F_{474}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{162}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{475}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{162}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{477}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{4}\! \left(x \right) F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = \frac{F_{479}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = \frac{F_{481}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{481}\! \left(x \right) = -F_{365}\! \left(x \right)-F_{41}\! \left(x \right)-F_{482}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{4}\! \left(x \right) F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{485}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{114}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{114}\! \left(x \right) F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{4}\! \left(x \right) F_{489}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{16}\! \left(x \right)+F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{4}\! \left(x \right) F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{512}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{496}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{16}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = \frac{F_{497}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{497}\! \left(x \right) = -F_{451}\! \left(x \right)-F_{505}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{4}\! \left(x \right) F_{500}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{504}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{5}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = \frac{F_{503}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{503}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{114}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{4}\! \left(x \right) F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{449}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{509}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = \frac{F_{510}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{510}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{359}\! \left(x \right)-F_{511}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{114}\! \left(x \right) F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{515}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{105}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{4}\! \left(x \right) F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{519}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{105}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{114}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{41}\! \left(x \right)+F_{522}\! \left(x \right)+F_{525}\! \left(x \right)+F_{527}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{4}\! \left(x \right) F_{524}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{521}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{144}\! \left(x \right) F_{16}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{4}\! \left(x \right) F_{528}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = -F_{532}\! \left(x \right)+F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = \frac{F_{530}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{530}\! \left(x \right) = F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{545}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = \frac{F_{534}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{534}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{535}\! \left(x \right)-F_{541}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{536}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{4}\! \left(x \right) F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{538}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{141}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{114}\! \left(x \right) F_{141}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{4}\! \left(x \right) F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{13}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{4}\! \left(x \right) F_{521}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{514}\! \left(x \right)+F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{114}\! \left(x \right) F_{353}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{4}\! \left(x \right) F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{556}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{16}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{558}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{114}\! \left(x \right) F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{560}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{114}\! \left(x \right) F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \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_4(x)*F_5(x))<br />
  
    Eq(F_4(x), x)<br />
  
    Eq(F_5(x), F_1(x) + F_561(x) + F_6(x))<br />
  
    Eq(F_6(x), F_4(x)*F_7(x))<br />
  
    Eq(F_7(x), F_5(x) + F_8(x))<br />
  
    Eq(F_8(x), F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_4(x))<br />
  
    Eq(F_10(x), F_11(x) + F_552(x))<br />
  
    Eq(F_11(x), F_12(x) - F_549(x))<br />
  
    Eq(F_12(x), F_13(x) + F_521(x))<br />
  
    Eq(F_13(x), F_14(x) + F_514(x))<br />
  
    Eq(F_14(x), F_15(x)*F_16(x))<br />
  
    Eq(F_15(x), (x - 2)*F_15(x) + F_15(x)**2 + 2)<br />
  
    Eq(F_16(x), F_1(x) + F_17(x) + F_19(x) + F_488(x))<br />
  
    Eq(F_17(x), F_18(x)*F_4(x))<br />
  
    Eq(F_18(x), F_19(x)/F_4(x))<br />
  
    Eq(F_19(x), -F_1(x) - F_20(x) - F_488(x) + F_7(x))<br />
  
    Eq(F_20(x), F_21(x)*F_4(x))<br />
  
    Eq(F_21(x), F_22(x) + F_7(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x)*F_4(x))<br />
  
    Eq(F_24(x), F_25(x) + F_486(x))<br />
  
    Eq(F_25(x), F_26(x) + F_484(x))<br />
  
    Eq(F_26(x), F_27(x) + F_449(x))<br />
  
    Eq(F_27(x), F_28(x)*F_7(x))<br />
  
    Eq(F_28(x), F_15(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_31(x)*F_4(x)*F_448(x))<br />
  
    Eq(F_31(x), F_32(x) - F_331(x))<br />
  
    Eq(F_32(x), F_33(x)/F_4(x))<br />
  
    Eq(F_33(x), -F_1(x) + F_34(x) - F_36(x))<br />
  
    Eq(F_34(x), F_35(x)/F_4(x))<br />
  
    Eq(F_35(x), F_2(x))<br />
  
    Eq(F_36(x), F_37(x)*F_4(x))<br />
  
    Eq(F_37(x), F_38(x) + F_5(x))<br />
  
    Eq(F_38(x), F_39(x) + F_45(x))<br />
  
    Eq(F_39(x), F_2(x) + F_40(x))<br />
  
    Eq(F_40(x), F_41(x) + F_42(x) + F_44(x))<br />
  
    Eq(F_41(x), 0)<br />
  
    Eq(F_42(x), F_4(x)*F_43(x))<br />
  
    Eq(F_43(x), F_32(x) - F_5(x))<br />
  
    Eq(F_44(x), F_38(x)*F_4(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_4(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x) + F_56(x))<br />
  
    Eq(F_48(x), F_49(x)*F_53(x))<br />
  
    Eq(F_49(x), F_41(x) + F_50(x) + F_52(x))<br />
  
    Eq(F_50(x), F_4(x)*F_51(x))<br />
  
    Eq(F_51(x), F_45(x) + F_49(x))<br />
  
    Eq(F_52(x), F_32(x)*F_4(x))<br />
  
    Eq(F_53(x), F_1(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_4(x)*F_53(x))<br />
  
    Eq(F_56(x), F_441(x) + F_57(x))<br />
  
    Eq(F_57(x), F_437(x) + F_58(x))<br />
  
    Eq(F_58(x), F_41(x) + F_59(x) + F_60(x))<br />
  
    Eq(F_59(x), F_4(x)*F_57(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_4(x)*F_62(x))<br />
  
    Eq(F_62(x), F_435(x) + F_63(x))<br />
  
    Eq(F_63(x), F_423(x) + F_424(x) + F_64(x))<br />
  
    Eq(F_64(x), F_1(x) + F_416(x) + F_422(x) + F_65(x))<br />
  
    Eq(F_65(x), F_4(x)*F_66(x))<br />
  
    Eq(F_66(x), F_64(x) + F_67(x))<br />
  
    Eq(F_67(x), F_68(x))<br />
  
    Eq(F_68(x), -F_32(x) + F_69(x))<br />
  
    Eq(F_69(x), F_70(x)/F_4(x))<br />
  
    Eq(F_70(x), -F_1(x) + F_37(x) - F_415(x) - F_71(x))<br />
  
    Eq(F_71(x), F_4(x)*F_72(x))<br />
  
    Eq(F_72(x), F_37(x) + F_73(x))<br />
  
    Eq(F_73(x), F_74(x))<br />
  
    Eq(F_74(x), F_75(x) + F_81(x))<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_4(x)*F_53(x)*F_77(x))<br />
  
    Eq(F_77(x), F_78(x) + F_80(x))<br />
  
    Eq(F_78(x), F_53(x) + F_79(x))<br />
  
    Eq(F_79(x), F_76(x))<br />
  
    Eq(F_80(x), F_74(x))<br />
  
    Eq(F_81(x), F_82(x)/F_53(x))<br />
  
    Eq(F_82(x), -F_117(x) + F_83(x))<br />
  
    Eq(F_83(x), F_84(x))<br />
  
    Eq(F_84(x), F_4(x)*F_85(x))<br />
  
    Eq(F_85(x), F_86(x) + F_96(x))<br />
  
    Eq(F_86(x), F_87(x)/F_4(x))<br />
  
    Eq(F_87(x), F_88(x))<br />
  
    Eq(F_88(x), F_41(x) + F_89(x) + F_92(x) + F_94(x))<br />
  
    Eq(F_89(x), F_4(x)*F_90(x))<br />
  
    Eq(F_90(x), F_91(x)/F_4(x))<br />
  
    Eq(F_91(x), F_43(x))<br />
  
    Eq(F_92(x), F_93(x))<br />
  
    Eq(F_93(x), F_4(x)*F_53(x)*F_68(x))<br />
  
    Eq(F_94(x), F_95(x))<br />
  
    Eq(F_95(x), F_4(x)*F_88(x))<br />
  
    Eq(F_96(x), F_97(x))<br />
  
    Eq(F_97(x), F_103(x)*F_4(x)*F_98(x))<br />
  
    Eq(F_98(x), F_102(x) + F_78(x) + F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_4(x))<br />
  
    Eq(F_100(x), F_101(x)/F_4(x))<br />
  
    Eq(F_101(x), F_74(x))<br />
  
    Eq(F_102(x), F_4(x)*F_98(x))<br />
  
    Eq(F_103(x), F_104(x) + F_112(x) + F_113(x))<br />
  
    Eq(F_104(x), F_105(x) + F_15(x))<br />
  
    Eq(F_105(x), F_106(x) + F_110(x) + F_41(x))<br />
  
    Eq(F_106(x), F_107(x)*F_4(x))<br />
  
    Eq(F_107(x), F_104(x) + F_108(x))<br />
  
    Eq(F_108(x), F_109(x))<br />
  
    Eq(F_109(x), F_103(x)*F_4(x))<br />
  
    Eq(F_110(x), F_111(x) - F_41(x) - F_6(x))<br />
  
    Eq(F_111(x), -F_15(x) + F_5(x))<br />
  
    Eq(F_112(x), F_103(x)*F_4(x))<br />
  
    Eq(F_113(x), F_114(x)*F_4(x))<br />
  
    Eq(F_114(x), F_115(x)/F_4(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), -F_16(x) + F_18(x))<br />
  
    Eq(F_117(x), F_118(x))<br />
  
    Eq(F_118(x), F_119(x) + F_132(x))<br />
  
    Eq(F_119(x), F_120(x)*F_79(x))<br />
  
    Eq(F_120(x), F_1(x) + F_121(x))<br />
  
    Eq(F_121(x), F_122(x))<br />
  
    Eq(F_122(x), F_123(x)*F_4(x))<br />
  
    Eq(F_123(x), F_124(x) + F_125(x))<br />
  
    Eq(F_124(x), F_1(x) + F_4(x))<br />
  
    Eq(F_125(x), F_121(x) + F_126(x))<br />
  
    Eq(F_126(x), F_127(x) + F_131(x) + F_41(x))<br />
  
    Eq(F_127(x), F_128(x)*F_4(x))<br />
  
    Eq(F_128(x), F_129(x) + F_130(x))<br />
  
    Eq(F_129(x), F_4(x))<br />
  
    Eq(F_130(x), F_126(x))<br />
  
    Eq(F_131(x), F_121(x)*F_4(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x)*F_4(x))<br />
  
    Eq(F_134(x), F_135(x) + F_411(x))<br />
  
    Eq(F_135(x), F_136(x)*F_79(x))<br />
  
    Eq(F_136(x), F_137(x)/F_4(x))<br />
  
    Eq(F_137(x), F_138(x))<br />
  
    Eq(F_138(x), F_139(x) + F_143(x) + F_41(x))<br />
  
    Eq(F_139(x), F_140(x)*F_4(x))<br />
  
    Eq(F_140(x), F_141(x) - F_396(x))<br />
  
    Eq(F_141(x), F_142(x)/F_4(x))<br />
  
    Eq(F_142(x), -F_1(x) + F_104(x) - F_143(x))<br />
  
    Eq(F_143(x), F_144(x)*F_4(x))<br />
  
    Eq(F_144(x), F_104(x) + F_145(x))<br />
  
    Eq(F_145(x), F_146(x))<br />
  
    Eq(F_146(x), F_147(x)*F_4(x))<br />
  
    Eq(F_147(x), F_148(x) + F_337(x))<br />
  
    Eq(F_148(x), F_149(x) + F_278(x))<br />
  
    Eq(F_149(x), F_150(x) + F_218(x))<br />
  
    Eq(F_150(x), F_151(x)/F_4(x))<br />
  
    Eq(F_151(x), -F_1(x) + F_152(x) - F_242(x))<br />
  
    Eq(F_152(x), F_0(x) + F_153(x))<br />
  
    Eq(F_153(x), F_154(x))<br />
  
    Eq(F_154(x), F_155(x)*F_4(x))<br />
  
    Eq(F_155(x), F_156(x) + F_240(x))<br />
  
    Eq(F_156(x), F_0(x) + F_157(x) + F_239(x))<br />
  
    Eq(F_157(x), F_158(x))<br />
  
    Eq(F_158(x), F_159(x)*F_4(x))<br />
  
    Eq(F_159(x), F_160(x) + F_231(x))<br />
  
    Eq(F_160(x), F_161(x)*F_34(x))<br />
  
    Eq(F_161(x), F_162(x) + F_167(x))<br />
  
    Eq(F_162(x), F_1(x) + F_163(x))<br />
  
    Eq(F_163(x), F_164(x)*F_4(x))<br />
  
    Eq(F_164(x), F_165(x) + F_53(x))<br />
  
    Eq(F_165(x), F_166(x))<br />
  
    Eq(F_166(x), F_162(x)*F_164(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_167(x), F_168(x) + F_198(x) + F_41(x))<br />
  
    Eq(F_168(x), F_169(x)*F_4(x))<br />
  
    Eq(F_169(x), F_161(x) + F_170(x))<br />
  
    Eq(F_170(x), F_171(x))<br />
  
    Eq(F_171(x), F_172(x)*F_192(x)*F_4(x))<br />
  
    Eq(F_172(x), F_173(x) + F_53(x))<br />
  
    Eq(F_173(x), F_121(x) + F_174(x))<br />
  
    Eq(F_174(x), F_175(x) + F_191(x) + F_41(x))<br />
  
    Eq(F_175(x), F_176(x)*F_4(x))<br />
  
    Eq(F_176(x), F_177(x) + F_182(x))<br />
  
    Eq(F_177(x), F_178(x) + F_54(x))<br />
  
    Eq(F_178(x), F_179(x) + F_180(x) + F_41(x))<br />
  
    Eq(F_179(x), F_4(x)*F_54(x))<br />
  
    Eq(F_180(x), F_181(x)*F_4(x))<br />
  
    Eq(F_181(x), F_178(x) + F_4(x))<br />
  
    Eq(F_182(x), F_174(x) + F_183(x))<br />
  
    Eq(F_183(x), F_184(x) + F_188(x) + F_189(x) + F_41(x))<br />
  
    Eq(F_184(x), F_185(x)*F_4(x))<br />
  
    Eq(F_185(x), F_186(x) + F_187(x))<br />
  
    Eq(F_186(x), F_178(x))<br />
  
    Eq(F_187(x), F_183(x))<br />
  
    Eq(F_188(x), F_174(x)*F_4(x))<br />
  
    Eq(F_189(x), F_190(x)*F_4(x))<br />
  
    Eq(F_190(x), F_126(x) + F_183(x))<br />
  
    Eq(F_191(x), F_173(x)*F_4(x))<br />
  
    Eq(F_192(x), F_193(x) + F_53(x))<br />
  
    Eq(F_193(x), F_194(x) + F_54(x))<br />
  
    Eq(F_194(x), F_195(x) + F_197(x) + F_41(x))<br />
  
    Eq(F_195(x), F_196(x)*F_4(x))<br />
  
    Eq(F_196(x), F_194(x) + F_54(x))<br />
  
    Eq(F_197(x), F_193(x)*F_4(x))<br />
  
    Eq(F_198(x), F_199(x)*F_4(x))<br />
  
    Eq(F_199(x), -F_164(x) + F_200(x))<br />
  
    Eq(F_200(x), F_201(x)/F_4(x))<br />
  
    Eq(F_201(x), -F_1(x) + F_150(x) - F_202(x) - F_205(x))<br />
  
    Eq(F_202(x), F_203(x)*F_4(x))<br />
  
    Eq(F_203(x), F_150(x) + F_204(x))<br />
  
    Eq(F_204(x), F_170(x))<br />
  
    Eq(F_205(x), F_206(x)*F_4(x))<br />
  
    Eq(F_206(x), F_207(x) - F_217(x))<br />
  
    Eq(F_207(x), F_149(x) + F_208(x))<br />
  
    Eq(F_208(x), F_209(x))<br />
  
    Eq(F_209(x), F_207(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_210(x), F_162(x) + F_211(x))<br />
  
    Eq(F_211(x), F_212(x) + F_54(x))<br />
  
    Eq(F_212(x), F_213(x))<br />
  
    Eq(F_213(x), F_214(x)*F_4(x))<br />
  
    Eq(F_214(x), F_215(x) + F_216(x))<br />
  
    Eq(F_215(x), F_162(x)*F_211(x))<br />
  
    Eq(F_216(x), F_210(x)*F_211(x))<br />
  
    Eq(F_217(x), F_218(x) + F_229(x))<br />
  
    Eq(F_218(x), F_219(x) + F_227(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_221(x)*F_4(x))<br />
  
    Eq(F_221(x), F_222(x)/F_4(x))<br />
  
    Eq(F_222(x), F_136(x) - F_161(x) - F_223(x))<br />
  
    Eq(F_223(x), F_224(x))<br />
  
    Eq(F_224(x), F_225(x)*F_4(x))<br />
  
    Eq(F_225(x), F_226(x)/F_4(x))<br />
  
    Eq(F_226(x), F_140(x))<br />
  
    Eq(F_227(x), F_228(x))<br />
  
    Eq(F_228(x), F_217(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_229(x), F_230(x))<br />
  
    Eq(F_230(x), F_210(x)*F_217(x)*F_4(x))<br />
  
    Eq(F_231(x), F_232(x) + F_234(x) + F_235(x) + F_41(x))<br />
  
    Eq(F_232(x), F_233(x))<br />
  
    Eq(F_233(x), F_231(x)*F_4(x))<br />
  
    Eq(F_234(x), F_161(x)*F_34(x)*F_4(x))<br />
  
    Eq(F_235(x), F_236(x)*F_4(x))<br />
  
    Eq(F_236(x), F_231(x) + F_237(x))<br />
  
    Eq(F_237(x), F_238(x))<br />
  
    Eq(F_238(x), F_210(x)*F_236(x)*F_4(x))<br />
  
    Eq(F_239(x), F_153(x))<br />
  
    Eq(F_240(x), F_241(x))<br />
  
    Eq(F_241(x), F_155(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_242(x), F_243(x)*F_4(x))<br />
  
    Eq(F_243(x), F_244(x) + F_5(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_246(x)*F_4(x))<br />
  
    Eq(F_246(x), F_247(x) + F_268(x))<br />
  
    Eq(F_247(x), F_248(x) + F_251(x))<br />
  
    Eq(F_248(x), F_150(x) + F_249(x))<br />
  
    Eq(F_249(x), F_250(x))<br />
  
    Eq(F_250(x), F_246(x)*F_4(x))<br />
  
    Eq(F_251(x), F_252(x) + F_266(x))<br />
  
    Eq(F_252(x), F_253(x) + F_265(x) + F_49(x))<br />
  
    Eq(F_253(x), F_254(x))<br />
  
    Eq(F_254(x), F_255(x)*F_4(x))<br />
  
    Eq(F_255(x), F_256(x) + F_257(x))<br />
  
    Eq(F_256(x), F_161(x)*F_51(x))<br />
  
    Eq(F_257(x), F_258(x) + F_260(x) + F_261(x) + F_41(x))<br />
  
    Eq(F_258(x), F_259(x))<br />
  
    Eq(F_259(x), F_257(x)*F_4(x))<br />
  
    Eq(F_260(x), F_161(x)*F_4(x)*F_51(x))<br />
  
    Eq(F_261(x), F_262(x)*F_4(x))<br />
  
    Eq(F_262(x), F_257(x) + F_263(x))<br />
  
    Eq(F_263(x), F_264(x))<br />
  
    Eq(F_264(x), F_210(x)*F_262(x)*F_4(x))<br />
  
    Eq(F_265(x), F_251(x)*F_4(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_210(x)*F_251(x)*F_4(x))<br />
  
    Eq(F_268(x), F_269(x) + F_276(x))<br />
  
    Eq(F_269(x), F_270(x) + F_273(x) + F_275(x) + F_41(x))<br />
  
    Eq(F_270(x), F_271(x))<br />
  
    Eq(F_271(x), F_272(x)*F_4(x))<br />
  
    Eq(F_272(x), F_269(x))<br />
  
    Eq(F_273(x), F_274(x))<br />
  
    Eq(F_274(x), F_161(x)*F_32(x)*F_4(x))<br />
  
    Eq(F_275(x), F_268(x)*F_4(x))<br />
  
    Eq(F_276(x), F_277(x))<br />
  
    Eq(F_277(x), F_210(x)*F_268(x)*F_4(x))<br />
  
    Eq(F_278(x), F_279(x))<br />
  
    Eq(F_279(x), F_280(x)*F_4(x))<br />
  
    Eq(F_280(x), F_281(x) + F_284(x))<br />
  
    Eq(F_281(x), F_148(x) + F_282(x))<br />
  
    Eq(F_282(x), F_283(x))<br />
  
    Eq(F_283(x), F_148(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_286(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_286(x), F_287(x) + F_335(x))<br />
  
    Eq(F_287(x), F_288(x)/F_40(x))<br />
  
    Eq(F_288(x), F_289(x))<br />
  
    Eq(F_289(x), F_290(x) - F_334(x))<br />
  
    Eq(F_290(x), F_291(x))<br />
  
    Eq(F_291(x), F_292(x)*F_4(x))<br />
  
    Eq(F_292(x), F_293(x)/F_4(x))<br />
  
    Eq(F_293(x), F_294(x))<br />
  
    Eq(F_294(x), F_295(x) - F_319(x))<br />
  
    Eq(F_295(x), F_296(x)/F_4(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_298(x)*F_4(x))<br />
  
    Eq(F_298(x), F_299(x) + F_312(x))<br />
  
    Eq(F_299(x), F_300(x) + F_305(x) + F_41(x))<br />
  
    Eq(F_300(x), F_301(x))<br />
  
    Eq(F_301(x), F_302(x)*F_4(x))<br />
  
    Eq(F_302(x), F_303(x) + F_304(x))<br />
  
    Eq(F_303(x), F_161(x)*F_37(x))<br />
  
    Eq(F_304(x), F_231(x) + F_257(x))<br />
  
    Eq(F_305(x), F_306(x)*F_4(x))<br />
  
    Eq(F_306(x), F_299(x) + F_307(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_309(x)*F_4(x))<br />
  
    Eq(F_309(x), F_310(x) + F_311(x))<br />
  
    Eq(F_310(x), F_162(x)*F_306(x))<br />
  
    Eq(F_311(x), F_211(x)*F_247(x))<br />
  
    Eq(F_312(x), F_313(x) - F_316(x))<br />
  
    Eq(F_313(x), F_314(x)/F_4(x))<br />
  
    Eq(F_314(x), F_315(x))<br />
  
    Eq(F_315(x), -F_153(x) + F_43(x))<br />
  
    Eq(F_316(x), F_252(x) + F_317(x))<br />
  
    Eq(F_317(x), F_318(x))<br />
  
    Eq(F_318(x), F_210(x)*F_313(x)*F_4(x))<br />
  
    Eq(F_319(x), F_167(x)*F_320(x))<br />
  
    Eq(F_320(x), F_15(x) + F_321(x))<br />
  
    Eq(F_321(x), F_322(x))<br />
  
    Eq(F_322(x), F_323(x)*F_4(x))<br />
  
    Eq(F_323(x), F_324(x) + F_328(x) + F_5(x))<br />
  
    Eq(F_324(x), F_325(x))<br />
  
    Eq(F_325(x), F_326(x)*F_4(x))<br />
  
    Eq(F_326(x), F_327(x)/F_4(x))<br />
  
    Eq(F_327(x), F_38(x))<br />
  
    Eq(F_328(x), F_329(x)*F_4(x))<br />
  
    Eq(F_329(x), F_330(x)/F_4(x))<br />
  
    Eq(F_330(x), F_331(x))<br />
  
    Eq(F_331(x), F_332(x)/F_4(x))<br />
  
    Eq(F_332(x), F_111(x) - F_333(x) - F_41(x))<br />
  
    Eq(F_333(x), F_37(x)*F_4(x))<br />
  
    Eq(F_334(x), F_2(x)*F_221(x))<br />
  
    Eq(F_335(x), F_336(x))<br />
  
    Eq(F_336(x), F_210(x)*F_286(x)*F_4(x))<br />
  
    Eq(F_337(x), F_338(x))<br />
  
    Eq(F_338(x), F_339(x)*F_4(x))<br />
  
    Eq(F_339(x), F_340(x) + F_385(x))<br />
  
    Eq(F_340(x), F_341(x)/F_4(x))<br />
  
    Eq(F_341(x), F_342(x))<br />
  
    Eq(F_342(x), -F_148(x) + F_343(x))<br />
  
    Eq(F_343(x), F_344(x) + F_346(x))<br />
  
    Eq(F_344(x), F_345(x))<br />
  
    Eq(F_345(x), F_104(x)*F_162(x)*F_31(x))<br />
  
    Eq(F_346(x), F_347(x))<br />
  
    Eq(F_347(x), F_348(x)*F_4(x))<br />
  
    Eq(F_348(x), F_349(x) + F_383(x))<br />
  
    Eq(F_349(x), F_104(x)*F_350(x))<br />
  
    Eq(F_350(x), F_351(x)/F_4(x))<br />
  
    Eq(F_351(x), F_352(x))<br />
  
    Eq(F_352(x), F_353(x) + F_378(x))<br />
  
    Eq(F_353(x), F_354(x) + F_358(x) + F_377(x) + F_41(x))<br />
  
    Eq(F_354(x), F_355(x)*F_4(x))<br />
  
    Eq(F_355(x), F_144(x) + F_356(x))<br />
  
    Eq(F_356(x), F_357(x))<br />
  
    Eq(F_357(x), F_287(x)*F_4(x))<br />
  
    Eq(F_358(x), F_331(x) - F_359(x) - F_377(x) - F_41(x))<br />
  
    Eq(F_359(x), F_360(x)*F_4(x))<br />
  
    Eq(F_360(x), F_361(x)/F_4(x))<br />
  
    Eq(F_361(x), -F_1(x) - F_362(x) - F_376(x) + F_7(x))<br />
  
    Eq(F_362(x), F_363(x)*F_4(x))<br />
  
    Eq(F_363(x), F_364(x)/F_4(x))<br />
  
    Eq(F_364(x), -F_1(x) - F_365(x) - F_369(x) + F_37(x))<br />
  
    Eq(F_365(x), F_366(x)*F_4(x))<br />
  
    Eq(F_366(x), F_32(x) + F_367(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_210(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_369(x), -F_1(x) + F_141(x) - F_370(x) - F_371(x))<br />
  
    Eq(F_370(x), F_210(x)*F_4(x))<br />
  
    Eq(F_371(x), F_372(x)*F_4(x))<br />
  
    Eq(F_372(x), F_373(x)/F_4(x))<br />
  
    Eq(F_373(x), -F_1(x) + F_107(x) - F_374(x) - F_375(x))<br />
  
    Eq(F_374(x), F_210(x)*F_4(x))<br />
  
    Eq(F_375(x), F_355(x)*F_4(x))<br />
  
    Eq(F_376(x), F_366(x)*F_4(x))<br />
  
    Eq(F_377(x), F_352(x)*F_4(x))<br />
  
    Eq(F_378(x), F_379(x))<br />
  
    Eq(F_379(x), F_380(x)*F_4(x))<br />
  
    Eq(F_380(x), F_381(x) + F_382(x))<br />
  
    Eq(F_381(x), F_162(x)*F_352(x))<br />
  
    Eq(F_382(x), F_149(x)*F_211(x))<br />
  
    Eq(F_383(x), F_286(x)*F_384(x))<br />
  
    Eq(F_384(x), -F_104(x) + F_141(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_286(x)*F_387(x)*F_4(x))<br />
  
    Eq(F_387(x), F_388(x)/F_4(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), -F_104(x) + F_390(x) - F_392(x))<br />
  
    Eq(F_390(x), F_391(x)/F_4(x))<br />
  
    Eq(F_391(x), F_138(x))<br />
  
    Eq(F_392(x), F_393(x))<br />
  
    Eq(F_393(x), F_394(x)*F_4(x))<br />
  
    Eq(F_394(x), F_395(x)/F_4(x))<br />
  
    Eq(F_395(x), F_140(x))<br />
  
    Eq(F_396(x), F_120(x) + F_397(x))<br />
  
    Eq(F_397(x), F_398(x) + F_54(x))<br />
  
    Eq(F_398(x), F_399(x))<br />
  
    Eq(F_399(x), F_4(x)*F_400(x))<br />
  
    Eq(F_400(x), F_401(x) + F_404(x))<br />
  
    Eq(F_401(x), F_402(x) + F_54(x))<br />
  
    Eq(F_402(x), F_403(x))<br />
  
    Eq(F_403(x), F_4(x)*F_54(x))<br />
  
    Eq(F_404(x), F_398(x) + F_405(x))<br />
  
    Eq(F_405(x), F_406(x) + 2*F_41(x) + F_410(x))<br />
  
    Eq(F_406(x), F_4(x)*F_407(x))<br />
  
    Eq(F_407(x), F_408(x) + F_409(x))<br />
  
    Eq(F_408(x), F_402(x))<br />
  
    Eq(F_409(x), F_405(x))<br />
  
    Eq(F_410(x), F_398(x)*F_4(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_103(x)*F_413(x))<br />
  
    Eq(F_413(x), F_414(x) + F_79(x))<br />
  
    Eq(F_414(x), F_81(x))<br />
  
    Eq(F_415(x), F_4(x)*F_72(x))<br />
  
    Eq(F_416(x), F_4(x)*F_417(x))<br />
  
    Eq(F_417(x), F_418(x)/F_4(x))<br />
  
    Eq(F_418(x), -F_1(x) + F_419(x) - F_420(x) - F_421(x))<br />
  
    Eq(F_419(x), F_34(x) + F_74(x))<br />
  
    Eq(F_420(x), F_4(x)*F_69(x))<br />
  
    Eq(F_421(x), F_4(x)*F_72(x))<br />
  
    Eq(F_422(x), F_4(x)*F_64(x))<br />
  
    Eq(F_423(x), F_4(x)*F_63(x))<br />
  
    Eq(F_424(x), F_425(x))<br />
  
    Eq(F_425(x), F_4(x)*F_426(x))<br />
  
    Eq(F_426(x), F_427(x) + F_62(x))<br />
  
    Eq(F_427(x), F_428(x))<br />
  
    Eq(F_428(x), F_4(x)*F_429(x))<br />
  
    Eq(F_429(x), F_430(x)/F_4(x))<br />
  
    Eq(F_430(x), F_431(x))<br />
  
    Eq(F_431(x), F_4(x)*F_432(x)*F_53(x))<br />
  
    Eq(F_432(x), F_433(x)/F_4(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_417(x) - F_64(x))<br />
  
    Eq(F_435(x), F_436(x))<br />
  
    Eq(F_436(x), F_210(x)*F_4(x)*F_62(x))<br />
  
    Eq(F_437(x), F_438(x)*F_53(x))<br />
  
    Eq(F_438(x), F_439(x))<br />
  
    Eq(F_439(x), F_210(x)*F_4(x)*F_440(x))<br />
  
    Eq(F_440(x), F_438(x) + F_49(x))<br />
  
    Eq(F_441(x), F_442(x))<br />
  
    Eq(F_442(x), F_210(x)*F_4(x)*F_443(x))<br />
  
    Eq(F_443(x), F_441(x) + F_444(x))<br />
  
    Eq(F_444(x), F_43(x) + F_445(x))<br />
  
    Eq(F_445(x), F_446(x))<br />
  
    Eq(F_446(x), F_4(x)*F_447(x))<br />
  
    Eq(F_447(x), F_443(x) + F_57(x))<br />
  
    Eq(F_448(x), F_31(x))<br />
  
    Eq(F_449(x), F_450(x) + F_452(x))<br />
  
    Eq(F_450(x), F_28(x)*F_451(x))<br />
  
    Eq(F_451(x), F_110(x)/F_4(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_4(x)*F_454(x))<br />
  
    Eq(F_454(x), F_455(x) + F_461(x))<br />
  
    Eq(F_455(x), F_451(x)*F_456(x))<br />
  
    Eq(F_456(x), F_457(x)/F_4(x))<br />
  
    Eq(F_457(x), -F_28(x) + F_323(x) - F_458(x))<br />
  
    Eq(F_458(x), F_4(x)*F_459(x))<br />
  
    Eq(F_459(x), F_460(x)/F_4(x))<br />
  
    Eq(F_460(x), F_451(x))<br />
  
    Eq(F_461(x), F_462(x))<br />
  
    Eq(F_462(x), F_114(x)*F_4(x)*F_463(x))<br />
  
    Eq(F_463(x), F_464(x)/F_4(x))<br />
  
    Eq(F_464(x), F_465(x))<br />
  
    Eq(F_465(x), F_326(x) - F_466(x) - F_467(x) - F_476(x))<br />
  
    Eq(F_466(x), F_162(x)*F_31(x))<br />
  
    Eq(F_467(x), F_4(x)*F_468(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_162(x)*F_329(x))<br />
  
    Eq(F_470(x), F_471(x))<br />
  
    Eq(F_471(x), F_162(x)*F_4(x)*F_472(x)*F_53(x))<br />
  
    Eq(F_472(x), F_473(x) + F_474(x))<br />
  
    Eq(F_473(x), F_162(x)*F_366(x))<br />
  
    Eq(F_474(x), F_475(x))<br />
  
    Eq(F_475(x), F_162(x)*F_210(x)*F_4(x)*F_472(x))<br />
  
    Eq(F_476(x), F_477(x))<br />
  
    Eq(F_477(x), F_4(x)*F_478(x))<br />
  
    Eq(F_478(x), F_479(x)/F_4(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_481(x)/F_4(x))<br />
  
    Eq(F_481(x), -F_365(x) + F_38(x) - F_41(x) - F_482(x))<br />
  
    Eq(F_482(x), F_4(x)*F_483(x))<br />
  
    Eq(F_483(x), F_363(x) - F_7(x))<br />
  
    Eq(F_484(x), F_485(x))<br />
  
    Eq(F_485(x), F_114(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_114(x)*F_360(x)*F_4(x))<br />
  
    Eq(F_488(x), F_4(x)*F_489(x))<br />
  
    Eq(F_489(x), F_16(x) + F_490(x))<br />
  
    Eq(F_490(x), F_491(x))<br />
  
    Eq(F_491(x), F_4(x)*F_492(x))<br />
  
    Eq(F_492(x), F_493(x) + F_512(x))<br />
  
    Eq(F_493(x), F_494(x) + F_507(x))<br />
  
    Eq(F_494(x), F_495(x) + F_496(x))<br />
  
    Eq(F_495(x), F_16(x)*F_28(x))<br />
  
    Eq(F_496(x), F_497(x)/F_4(x))<br />
  
    Eq(F_497(x), -F_451(x) + F_498(x) - F_505(x))<br />
  
    Eq(F_498(x), F_499(x))<br />
  
    Eq(F_499(x), F_4(x)*F_500(x))<br />
  
    Eq(F_500(x), F_501(x) + F_504(x))<br />
  
    Eq(F_501(x), F_5(x)*F_502(x))<br />
  
    Eq(F_502(x), F_503(x)/F_4(x))<br />
  
    Eq(F_503(x), F_451(x))<br />
  
    Eq(F_504(x), F_114(x)*F_38(x))<br />
  
    Eq(F_505(x), F_4(x)*F_506(x))<br />
  
    Eq(F_506(x), F_449(x) + F_484(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_114(x)*F_4(x)*F_509(x))<br />
  
    Eq(F_509(x), F_510(x)/F_4(x))<br />
  
    Eq(F_510(x), -F_1(x) + F_32(x) - F_359(x) - F_511(x))<br />
  
    Eq(F_511(x), F_149(x)*F_4(x))<br />
  
    Eq(F_512(x), F_513(x))<br />
  
    Eq(F_513(x), F_114(x)*F_149(x)*F_4(x))<br />
  
    Eq(F_514(x), F_515(x) + F_516(x))<br />
  
    Eq(F_515(x), F_105(x)*F_28(x))<br />
  
    Eq(F_516(x), F_517(x))<br />
  
    Eq(F_517(x), F_4(x)*F_518(x))<br />
  
    Eq(F_518(x), F_519(x) + F_520(x))<br />
  
    Eq(F_519(x), F_105(x)*F_502(x))<br />
  
    Eq(F_520(x), F_114(x)*F_384(x))<br />
  
    Eq(F_521(x), F_41(x) + F_522(x) + F_525(x) + F_527(x) + F_547(x))<br />
  
    Eq(F_522(x), F_523(x))<br />
  
    Eq(F_523(x), F_4(x)*F_524(x))<br />
  
    Eq(F_524(x), F_521(x))<br />
  
    Eq(F_525(x), F_526(x))<br />
  
    Eq(F_526(x), F_144(x)*F_16(x)*F_4(x))<br />
  
    Eq(F_527(x), F_4(x)*F_528(x))<br />
  
    Eq(F_528(x), F_529(x) - F_532(x))<br />
  
    Eq(F_529(x), F_530(x)/F_4(x))<br />
  
    Eq(F_530(x), F_531(x))<br />
  
    Eq(F_531(x), -F_16(x) + F_489(x))<br />
  
    Eq(F_532(x), F_533(x) + F_545(x))<br />
  
    Eq(F_533(x), F_534(x)/F_4(x))<br />
  
    Eq(F_534(x), -F_104(x) + F_13(x) - F_535(x) - F_541(x))<br />
  
    Eq(F_535(x), F_536(x))<br />
  
    Eq(F_536(x), F_4(x)*F_537(x))<br />
  
    Eq(F_537(x), F_538(x) + F_539(x))<br />
  
    Eq(F_538(x), F_141(x)*F_16(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_114(x)*F_141(x)*F_4(x))<br />
  
    Eq(F_541(x), F_4(x)*F_542(x))<br />
  
    Eq(F_542(x), F_13(x) + F_543(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_545(x), F_546(x))<br />
  
    Eq(F_546(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_4(x)*F_521(x))<br />
  
    Eq(F_549(x), F_514(x) + F_550(x))<br />
  
    Eq(F_550(x), F_551(x))<br />
  
    Eq(F_551(x), F_114(x)*F_353(x)*F_4(x))<br />
  
    Eq(F_552(x), F_553(x))<br />
  
    Eq(F_553(x), F_4(x)*F_554(x))<br />
  
    Eq(F_554(x), F_555(x) + F_559(x))<br />
  
    Eq(F_555(x), F_556(x) + F_557(x))<br />
  
    Eq(F_556(x), F_16(x)*F_323(x))<br />
  
    Eq(F_557(x), F_558(x))<br />
  
    Eq(F_558(x), F_114(x)*F_326(x)*F_4(x))<br />
  
    Eq(F_559(x), F_560(x))<br />
  
    Eq(F_560(x), F_114(x)*F_329(x)*F_4(x))<br />
  
    Eq(F_561(x), F_16(x)*F_4(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_req_corrob_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]]}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 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[1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 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[0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 3]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [2, 3], [3, 4]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1]], [[1, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: 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[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 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0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 4]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3], [2, 0], [2, 4], [2, 5], [4, 0], [4, 4], [4, 5]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 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0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 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&#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 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[3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, 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1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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[0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [2, 3]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 0], [0, 2], [0, 4], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, 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0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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&#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 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2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4], [2, 2], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], 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3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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[0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [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], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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[[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 6], [0, 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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[0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, 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0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [1, 5]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [2, 0], [2, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 3], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 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2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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[0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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[[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4], [2, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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&#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#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]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 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4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 6], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [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], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 3]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0], [1, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], 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[[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: 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[3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 5]], [[2, 1], [2, 4], [2, 6], [3, 0], [3, 4], [3, 6]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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&#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: 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[0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [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;, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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[1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.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], [2, 0], [2, 3], [2, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 5], [1, 0], [1, 4], [3, 0], [3, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 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[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 1], [3, 3], [3, 4], [3, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}], &#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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[0, 3], [0, 3], [0, 3], [0, 3]]}], &#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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[2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: 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2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 2], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3], [0, 4]], [[1, 2]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 0], [2, 1], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, 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[[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [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], [0, 5]], [[1, 1], [1, 4], [2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, 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[0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3]], [[1, 0], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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;: 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 7], [4, 0], [4, 7], [4, 7], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 5]], [[2, 1], [2, 6], [2, 7], [4, 0], [4, 6], [4, 7]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 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2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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;: 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: 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2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 5]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4], [3, 0], [3, 5]], [[2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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[[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 6], [1, 1], [1, 5]]}, {&#34;patt&#34;: 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0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [0, 7]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: 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[1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 1], [1, 4], [1, 5], [2, 0], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 6], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 1, 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[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[5, 7], [5, 0], [5, 0], [5, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 7], [5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 6], [5, 6], [5, 0], [5, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 7], [5, 7], [5, 0], [5, 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[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 2], [1, 4], [2, 5]], [[3, 1], [3, 6], [3, 7], [5, 0], [5, 6], [5, 7]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [2, 1], [2, 2], [2, 4]], [[1, 5]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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[[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 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[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 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[2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 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1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [1, 2], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [1, 1], [1, 3], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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[1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 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[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 4], [1, 5], [3, 0], [3, 4], [3, 5], [3, 6]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [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], [0, 3], [0, 4], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2], [3, 5], [3, 6]], [[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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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]]}, 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0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 1], [1, 6], [1, 7], [2, 8], [4, 0], [4, 6], [4, 7], [4, 8]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 6]], [[2, 1], [2, 7], [2, 8], [4, 0], [4, 7], [4, 8], [4, 9]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [0, 5], [1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [1, 4], [1, 5], [2, 6], [3, 0], [3, 4], [3, 5], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 5]]}, {&#34;patt&#34;: [1, 0], 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7], [2, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [2, 2], [2, 3], [3, 0], [3, 4], [3, 5], [4, 0], [4, 4], [4, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [2, 5], [3, 6]], [[4, 1], [4, 7], [4, 8], [6, 0], [6, 7], [6, 8]], [[5, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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[1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, 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1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [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;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], 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[[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;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;: 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 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[[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], 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4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: 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[0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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[[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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7], [3, 7], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], 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[{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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[2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#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;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, 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2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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[0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 6], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 6], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 6], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 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[[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;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [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], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 4], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 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&#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], 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2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 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[0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], 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1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], 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1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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[2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 0], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: 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1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#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;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 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[[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 7], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 7], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 7], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 7], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 7], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 7], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 7], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 7], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 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[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], 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&#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, 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&#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 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0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], 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[3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 4], [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], &#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;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 5], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: 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&#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 7], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [4, 7], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 7], [4, 0], [4, 6], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: 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[[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[0], &#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 4<br />
  Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://permpal.com/tree/25232/<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[14,x]*F[4,x]<br />
  
    F[4,x] = F[1,x]+F[36,x]+F[5,x]<br />
  
    F[5,x] = F[14,x]*F[6,x]<br />
  
    F[6,x] = F[4,x]+F[7,x]<br />
  
    F[7,x] = F[30,x]+F[33,x]+F[8,x]+F[9,x]<br />
  
    F[8,x] = 0<br />
  
    F[9,x] = F[10,x]*F[14,x]<br />
  
    F[10,x] = F[11,x,1]<br />
  
    F[11,x,k[0]] = F[12,x,k[0]]+F[18,x,k[0]]<br />
  
    F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[15,x,k[0]]+F[16,x,k[0]]<br />
  
    F[13,x,k[0]] = F[11,x,k[0]]*F[14,x]<br />
  
    F[14,x] = x<br />
  
    F[15,x,k[0]] = F[11,x,k[0]]*F[14,x]<br />
  
    F[16,x,k[0]] = F[12,x,k[0]]*F[17,x,k[0]]<br />
  
    F[17,x,k[0]] = k[0]*x<br />
  
    F[18,x,k[0]] = F[19,x,k[0]]<br />
  
    F[19,x,k[0]] = F[20,x,k[0]]+F[22,x,k[0]]+F[24,x,k[0]]+F[26,x,k[0]]+F[8,x]<br />
  
    F[20,x,k[0]] = F[14,x]*F[21,x,k[0]]<br />
  
    F[21,x,k[0]] = 1/(-1+k[0])*(F[11,x,k[0]]*k[0]-F[11,x,1])<br />
  
    F[22,x,k[0]] = F[14,x]*F[23,x,k[0]]<br />
  
    F[23,x,k[0]] = 1/(-1+k[0])*(F[18,x,k[0]]*k[0]-F[18,x,1])<br />
  
    F[24,x,k[0]] = F[25,x,k[0]]<br />
  
    F[25,x,k[0]] = F[14,x]*F[19,x,k[0]]<br />
  
    F[26,x,k[0]] = F[27,x,k[0]]<br />
  
    F[27,x,k[0]] = F[17,x,k[0]]*F[28,x,k[0]]<br />
  
    F[28,x,k[0]] = F[13,x,k[0]]+F[27,x,k[0]]+F[29,x,k[0]]+F[8,x]<br />
  
    F[29,x,k[0]] = F[14,x]*F[18,x,k[0]]<br />
  
    F[30,x] = F[14,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = F[18,x,1]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[14,x]*F[35,x]<br />
  
    F[35,x] = F[7,x]<br />
  
    F[36,x] = F[14,x]*F[6,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{14}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)+F_{8}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = 0<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{14}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x , 1\right)<br />
  
    F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{18}\! \left(x , y\right)<br />
  
    F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{15}\! \left(x , y\right)+F_{16}\! \left(x , y\right)<br />
  
    F_{13}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = x<br />
  
    F_{15}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x \right)<br />
  
    F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{17}\! \left(x , y\right)<br />
  
    F_{17}\! \left(x , y\right) = y x<br />
  
    F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)<br />
  
    F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{22}\! \left(x , y\right)+F_{24}\! \left(x , y\right)+F_{26}\! \left(x , y\right)+F_{8}\! \left(x \right)<br />
  
    F_{20}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{21}\! \left(x , y\right)<br />
  
    F_{21}\! \left(x , y\right) = -\frac{-F_{11}\! \left(x , y\right) y +F_{11}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{22}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{23}\! \left(x , y\right)<br />
  
    F_{23}\! \left(x , y\right) = -\frac{-y F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)<br />
  
    F_{25}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{19}\! \left(x , y\right)<br />
  
    F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)<br />
  
    F_{27}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{28}\! \left(x , y\right)<br />
  
    F_{28}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{27}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{8}\! \left(x \right)<br />
  
    F_{29}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{18}\! \left(x , y\right)<br />
  
    F_{30}\! \left(x \right) = F_{14}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{18}\! \left(x , 1\right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{14}\! \left(x \right) F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{14}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_14(x)*F_4(x))<br />
  
    Eq(F_4(x), F_1(x) + F_36(x) + F_5(x))<br />
  
    Eq(F_5(x), F_14(x)*F_6(x))<br />
  
    Eq(F_6(x), F_4(x) + F_7(x))<br />
  
    Eq(F_7(x), F_30(x) + F_33(x) + F_8(x) + F_9(x))<br />
  
    Eq(F_8(x), 0)<br />
  
    Eq(F_9(x), F_10(x)*F_14(x))<br />
  
    Eq(F_10(x), F_11(x, 1))<br />
  
    Eq(F_11(x, k_0), F_12(x, k_0) + F_18(x, k_0))<br />
  
    Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_15(x, k_0) + F_16(x, k_0))<br />
  
    Eq(F_13(x, k_0), F_11(x, k_0)*F_14(x))<br />
  
    Eq(F_14(x), x)<br />
  
    Eq(F_15(x, k_0), F_11(x, k_0)*F_14(x))<br />
  
    Eq(F_16(x, k_0), F_12(x, k_0)*F_17(x, k_0))<br />
  
    Eq(F_17(x, k_0), k_0*x)<br />
  
    Eq(F_18(x, k_0), F_19(x, k_0))<br />
  
    Eq(F_19(x, k_0), F_20(x, k_0) + F_22(x, k_0) + F_24(x, k_0) + F_26(x, k_0) + F_8(x))<br />
  
    Eq(F_20(x, k_0), F_14(x)*F_21(x, k_0))<br />
  
    Eq(F_21(x, k_0), (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))<br />
  
    Eq(F_22(x, k_0), F_14(x)*F_23(x, k_0))<br />
  
    Eq(F_23(x, k_0), (k_0*F_18(x, k_0) - F_18(x, 1))/(k_0 - 1))<br />
  
    Eq(F_24(x, k_0), F_25(x, k_0))<br />
  
    Eq(F_25(x, k_0), F_14(x)*F_19(x, k_0))<br />
  
    Eq(F_26(x, k_0), F_27(x, k_0))<br />
  
    Eq(F_27(x, k_0), F_17(x, k_0)*F_28(x, k_0))<br />
  
    Eq(F_28(x, k_0), F_13(x, k_0) + F_27(x, k_0) + F_29(x, k_0) + F_8(x))<br />
  
    Eq(F_29(x, k_0), F_14(x)*F_18(x, k_0))<br />
  
    Eq(F_30(x), F_14(x)*F_31(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_18(x, 1))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_14(x)*F_35(x))<br />
  
    Eq(F_35(x), F_7(x))<br />
  
    Eq(F_36(x), F_14(x)*F_6(x))<br />
  
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  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, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: 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0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], 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&#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 3, &#34;col_idx&#34;: null, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 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[[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_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, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}]}, &#34;children&#34;: 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[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4], [0, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, 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1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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[0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}]}, {&#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;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 5<br />
  Strategy pack name: point_and_col_placements_req_corrob_symmetries<br />
  Tree: http://permpal.com/tree/25561/<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[4,x]*F[5,x]<br />
  
    F[4,x] = x<br />
  
    F[5,x] = F[1,x]+F[561,x]+F[6,x]<br />
  
    F[6,x] = F[4,x]*F[7,x]<br />
  
    F[7,x] = F[5,x]+F[8,x]<br />
  
    F[8,x] = F[9,x]<br />
  
    F[9,x] = F[10,x]*F[4,x]<br />
  
    F[10,x] = F[11,x]+F[552,x]<br />
  
    F[11,x] = -F[549,x]+F[12,x]<br />
  
    F[12,x] = F[13,x]+F[521,x]<br />
  
    F[13,x] = F[14,x]+F[514,x]<br />
  
    F[14,x] = F[15,x]*F[16,x]<br />
  
    F[15,x] = 2+F[15,x]^2+(-2+x)*F[15,x]<br />
  
    F[16,x] = F[1,x]+F[17,x]+F[19,x]+F[488,x]<br />
  
    F[17,x] = F[18,x]*F[4,x]<br />
  
    F[18,x] = 1/F[4,x]*F[19,x]<br />
  
    F[19,x] = -F[1,x]-F[20,x]-F[488,x]+F[7,x]<br />
  
    F[20,x] = F[21,x]*F[4,x]<br />
  
    F[21,x] = F[22,x]+F[7,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[24,x]*F[4,x]<br />
  
    F[24,x] = F[25,x]+F[486,x]<br />
  
    F[25,x] = F[26,x]+F[484,x]<br />
  
    F[26,x] = F[27,x]+F[449,x]<br />
  
    F[27,x] = F[28,x]*F[7,x]<br />
  
    F[28,x] = F[15,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[31,x]*F[4,x]*F[448,x]<br />
  
    F[31,x] = -F[331,x]+F[32,x]<br />
  
    F[32,x] = 1/F[4,x]*F[33,x]<br />
  
    F[33,x] = -F[1,x]-F[36,x]+F[34,x]<br />
  
    F[34,x] = 1/F[4,x]*F[35,x]<br />
  
    F[35,x] = F[2,x]<br />
  
    F[36,x] = F[37,x]*F[4,x]<br />
  
    F[37,x] = F[38,x]+F[5,x]<br />
  
    F[38,x] = F[39,x]+F[45,x]<br />
  
    F[39,x] = F[2,x]+F[40,x]<br />
  
    F[40,x] = F[41,x]+F[42,x]+F[44,x]<br />
  
    F[41,x] = 0<br />
  
    F[42,x] = F[4,x]*F[43,x]<br />
  
    F[43,x] = -F[5,x]+F[32,x]<br />
  
    F[44,x] = F[38,x]*F[4,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[4,x]*F[47,x]<br />
  
    F[47,x] = F[48,x]+F[56,x]<br />
  
    F[48,x] = F[49,x]*F[53,x]<br />
  
    F[49,x] = F[41,x]+F[50,x]+F[52,x]<br />
  
    F[50,x] = F[4,x]*F[51,x]<br />
  
    F[51,x] = F[45,x]+F[49,x]<br />
  
    F[52,x] = F[32,x]*F[4,x]<br />
  
    F[53,x] = F[1,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[4,x]*F[53,x]<br />
  
    F[56,x] = F[441,x]+F[57,x]<br />
  
    F[57,x] = F[437,x]+F[58,x]<br />
  
    F[58,x] = F[41,x]+F[59,x]+F[60,x]<br />
  
    F[59,x] = F[4,x]*F[57,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[4,x]*F[62,x]<br />
  
    F[62,x] = F[435,x]+F[63,x]<br />
  
    F[63,x] = F[423,x]+F[424,x]+F[64,x]<br />
  
    F[64,x] = F[1,x]+F[416,x]+F[422,x]+F[65,x]<br />
  
    F[65,x] = F[4,x]*F[66,x]<br />
  
    F[66,x] = F[64,x]+F[67,x]<br />
  
    F[67,x] = F[68,x]<br />
  
    F[68,x] = -F[32,x]+F[69,x]<br />
  
    F[69,x] = 1/F[4,x]*F[70,x]<br />
  
    F[70,x] = -F[1,x]-F[415,x]-F[71,x]+F[37,x]<br />
  
    F[71,x] = F[4,x]*F[72,x]<br />
  
    F[72,x] = F[37,x]+F[73,x]<br />
  
    F[73,x] = F[74,x]<br />
  
    F[74,x] = F[75,x]+F[81,x]<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[4,x]*F[53,x]*F[77,x]<br />
  
    F[77,x] = F[78,x]+F[80,x]<br />
  
    F[78,x] = F[53,x]+F[79,x]<br />
  
    F[79,x] = F[76,x]<br />
  
    F[80,x] = F[74,x]<br />
  
    F[81,x] = 1/F[53,x]*F[82,x]<br />
  
    F[82,x] = -F[117,x]+F[83,x]<br />
  
    F[83,x] = F[84,x]<br />
  
    F[84,x] = F[4,x]*F[85,x]<br />
  
    F[85,x] = F[86,x]+F[96,x]<br />
  
    F[86,x] = 1/F[4,x]*F[87,x]<br />
  
    F[87,x] = F[88,x]<br />
  
    F[88,x] = F[41,x]+F[89,x]+F[92,x]+F[94,x]<br />
  
    F[89,x] = F[4,x]*F[90,x]<br />
  
    F[90,x] = 1/F[4,x]*F[91,x]<br />
  
    F[91,x] = F[43,x]<br />
  
    F[92,x] = F[93,x]<br />
  
    F[93,x] = F[4,x]*F[53,x]*F[68,x]<br />
  
    F[94,x] = F[95,x]<br />
  
    F[95,x] = F[4,x]*F[88,x]<br />
  
    F[96,x] = F[97,x]<br />
  
    F[97,x] = F[103,x]*F[4,x]*F[98,x]<br />
  
    F[98,x] = F[102,x]+F[78,x]+F[99,x]<br />
  
    F[99,x] = F[100,x]*F[4,x]<br />
  
    F[100,x] = 1/F[4,x]*F[101,x]<br />
  
    F[101,x] = F[74,x]<br />
  
    F[102,x] = F[4,x]*F[98,x]<br />
  
    F[103,x] = F[104,x]+F[112,x]+F[113,x]<br />
  
    F[104,x] = F[105,x]+F[15,x]<br />
  
    F[105,x] = F[106,x]+F[110,x]+F[41,x]<br />
  
    F[106,x] = F[107,x]*F[4,x]<br />
  
    F[107,x] = F[104,x]+F[108,x]<br />
  
    F[108,x] = F[109,x]<br />
  
    F[109,x] = F[103,x]*F[4,x]<br />
  
    F[110,x] = -F[41,x]-F[6,x]+F[111,x]<br />
  
    F[111,x] = -F[15,x]+F[5,x]<br />
  
    F[112,x] = F[103,x]*F[4,x]<br />
  
    F[113,x] = F[114,x]*F[4,x]<br />
  
    F[114,x] = 1/F[4,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = -F[16,x]+F[18,x]<br />
  
    F[117,x] = F[118,x]<br />
  
    F[118,x] = F[119,x]+F[132,x]<br />
  
    F[119,x] = F[120,x]*F[79,x]<br />
  
    F[120,x] = F[1,x]+F[121,x]<br />
  
    F[121,x] = F[122,x]<br />
  
    F[122,x] = F[123,x]*F[4,x]<br />
  
    F[123,x] = F[124,x]+F[125,x]<br />
  
    F[124,x] = F[1,x]+F[4,x]<br />
  
    F[125,x] = F[121,x]+F[126,x]<br />
  
    F[126,x] = F[127,x]+F[131,x]+F[41,x]<br />
  
    F[127,x] = F[128,x]*F[4,x]<br />
  
    F[128,x] = F[129,x]+F[130,x]<br />
  
    F[129,x] = F[4,x]<br />
  
    F[130,x] = F[126,x]<br />
  
    F[131,x] = F[121,x]*F[4,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]*F[4,x]<br />
  
    F[134,x] = F[135,x]+F[411,x]<br />
  
    F[135,x] = F[136,x]*F[79,x]<br />
  
    F[136,x] = 1/F[4,x]*F[137,x]<br />
  
    F[137,x] = F[138,x]<br />
  
    F[138,x] = F[139,x]+F[143,x]+F[41,x]<br />
  
    F[139,x] = F[140,x]*F[4,x]<br />
  
    F[140,x] = -F[396,x]+F[141,x]<br />
  
    F[141,x] = 1/F[4,x]*F[142,x]<br />
  
    F[142,x] = -F[1,x]-F[143,x]+F[104,x]<br />
  
    F[143,x] = F[144,x]*F[4,x]<br />
  
    F[144,x] = F[104,x]+F[145,x]<br />
  
    F[145,x] = F[146,x]<br />
  
    F[146,x] = F[147,x]*F[4,x]<br />
  
    F[147,x] = F[148,x]+F[337,x]<br />
  
    F[148,x] = F[149,x]+F[278,x]<br />
  
    F[149,x] = F[150,x]+F[218,x]<br />
  
    F[150,x] = 1/F[4,x]*F[151,x]<br />
  
    F[151,x] = -F[1,x]-F[242,x]+F[152,x]<br />
  
    F[152,x] = F[0,x]+F[153,x]<br />
  
    F[153,x] = F[154,x]<br />
  
    F[154,x] = F[155,x]*F[4,x]<br />
  
    F[155,x] = F[156,x]+F[240,x]<br />
  
    F[156,x] = F[0,x]+F[157,x]+F[239,x]<br />
  
    F[157,x] = F[158,x]<br />
  
    F[158,x] = F[159,x]*F[4,x]<br />
  
    F[159,x] = F[160,x]+F[231,x]<br />
  
    F[160,x] = F[161,x]*F[34,x]<br />
  
    F[161,x] = F[162,x]+F[167,x]<br />
  
    F[162,x] = F[1,x]+F[163,x]<br />
  
    F[163,x] = F[164,x]*F[4,x]<br />
  
    F[164,x] = F[165,x]+F[53,x]<br />
  
    F[165,x] = F[166,x]<br />
  
    F[166,x] = F[162,x]*F[164,x]*F[4,x]*F[53,x]<br />
  
    F[167,x] = F[168,x]+F[198,x]+F[41,x]<br />
  
    F[168,x] = F[169,x]*F[4,x]<br />
  
    F[169,x] = F[161,x]+F[170,x]<br />
  
    F[170,x] = F[171,x]<br />
  
    F[171,x] = F[172,x]*F[192,x]*F[4,x]<br />
  
    F[172,x] = F[173,x]+F[53,x]<br />
  
    F[173,x] = F[121,x]+F[174,x]<br />
  
    F[174,x] = F[175,x]+F[191,x]+F[41,x]<br />
  
    F[175,x] = F[176,x]*F[4,x]<br />
  
    F[176,x] = F[177,x]+F[182,x]<br />
  
    F[177,x] = F[178,x]+F[54,x]<br />
  
    F[178,x] = F[179,x]+F[180,x]+F[41,x]<br />
  
    F[179,x] = F[4,x]*F[54,x]<br />
  
    F[180,x] = F[181,x]*F[4,x]<br />
  
    F[181,x] = F[178,x]+F[4,x]<br />
  
    F[182,x] = F[174,x]+F[183,x]<br />
  
    F[183,x] = F[184,x]+F[188,x]+F[189,x]+F[41,x]<br />
  
    F[184,x] = F[185,x]*F[4,x]<br />
  
    F[185,x] = F[186,x]+F[187,x]<br />
  
    F[186,x] = F[178,x]<br />
  
    F[187,x] = F[183,x]<br />
  
    F[188,x] = F[174,x]*F[4,x]<br />
  
    F[189,x] = F[190,x]*F[4,x]<br />
  
    F[190,x] = F[126,x]+F[183,x]<br />
  
    F[191,x] = F[173,x]*F[4,x]<br />
  
    F[192,x] = F[193,x]+F[53,x]<br />
  
    F[193,x] = F[194,x]+F[54,x]<br />
  
    F[194,x] = F[195,x]+F[197,x]+F[41,x]<br />
  
    F[195,x] = F[196,x]*F[4,x]<br />
  
    F[196,x] = F[194,x]+F[54,x]<br />
  
    F[197,x] = F[193,x]*F[4,x]<br />
  
    F[198,x] = F[199,x]*F[4,x]<br />
  
    F[199,x] = -F[164,x]+F[200,x]<br />
  
    F[200,x] = 1/F[4,x]*F[201,x]<br />
  
    F[201,x] = -F[1,x]-F[202,x]-F[205,x]+F[150,x]<br />
  
    F[202,x] = F[203,x]*F[4,x]<br />
  
    F[203,x] = F[150,x]+F[204,x]<br />
  
    F[204,x] = F[170,x]<br />
  
    F[205,x] = F[206,x]*F[4,x]<br />
  
    F[206,x] = -F[217,x]+F[207,x]<br />
  
    F[207,x] = F[149,x]+F[208,x]<br />
  
    F[208,x] = F[209,x]<br />
  
    F[209,x] = F[207,x]*F[210,x]*F[4,x]<br />
  
    F[210,x] = F[162,x]+F[211,x]<br />
  
    F[211,x] = F[212,x]+F[54,x]<br />
  
    F[212,x] = F[213,x]<br />
  
    F[213,x] = F[214,x]*F[4,x]<br />
  
    F[214,x] = F[215,x]+F[216,x]<br />
  
    F[215,x] = F[162,x]*F[211,x]<br />
  
    F[216,x] = F[210,x]*F[211,x]<br />
  
    F[217,x] = F[218,x]+F[229,x]<br />
  
    F[218,x] = F[219,x]+F[227,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = F[221,x]*F[4,x]<br />
  
    F[221,x] = 1/F[4,x]*F[222,x]<br />
  
    F[222,x] = -F[161,x]-F[223,x]+F[136,x]<br />
  
    F[223,x] = F[224,x]<br />
  
    F[224,x] = F[225,x]*F[4,x]<br />
  
    F[225,x] = 1/F[4,x]*F[226,x]<br />
  
    F[226,x] = F[140,x]<br />
  
    F[227,x] = F[228,x]<br />
  
    F[228,x] = F[217,x]*F[4,x]*F[53,x]<br />
  
    F[229,x] = F[230,x]<br />
  
    F[230,x] = F[210,x]*F[217,x]*F[4,x]<br />
  
    F[231,x] = F[232,x]+F[234,x]+F[235,x]+F[41,x]<br />
  
    F[232,x] = F[233,x]<br />
  
    F[233,x] = F[231,x]*F[4,x]<br />
  
    F[234,x] = F[161,x]*F[34,x]*F[4,x]<br />
  
    F[235,x] = F[236,x]*F[4,x]<br />
  
    F[236,x] = F[231,x]+F[237,x]<br />
  
    F[237,x] = F[238,x]<br />
  
    F[238,x] = F[210,x]*F[236,x]*F[4,x]<br />
  
    F[239,x] = F[153,x]<br />
  
    F[240,x] = F[241,x]<br />
  
    F[241,x] = F[155,x]*F[210,x]*F[4,x]<br />
  
    F[242,x] = F[243,x]*F[4,x]<br />
  
    F[243,x] = F[244,x]+F[5,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[246,x]*F[4,x]<br />
  
    F[246,x] = F[247,x]+F[268,x]<br />
  
    F[247,x] = F[248,x]+F[251,x]<br />
  
    F[248,x] = F[150,x]+F[249,x]<br />
  
    F[249,x] = F[250,x]<br />
  
    F[250,x] = F[246,x]*F[4,x]<br />
  
    F[251,x] = F[252,x]+F[266,x]<br />
  
    F[252,x] = F[253,x]+F[265,x]+F[49,x]<br />
  
    F[253,x] = F[254,x]<br />
  
    F[254,x] = F[255,x]*F[4,x]<br />
  
    F[255,x] = F[256,x]+F[257,x]<br />
  
    F[256,x] = F[161,x]*F[51,x]<br />
  
    F[257,x] = F[258,x]+F[260,x]+F[261,x]+F[41,x]<br />
  
    F[258,x] = F[259,x]<br />
  
    F[259,x] = F[257,x]*F[4,x]<br />
  
    F[260,x] = F[161,x]*F[4,x]*F[51,x]<br />
  
    F[261,x] = F[262,x]*F[4,x]<br />
  
    F[262,x] = F[257,x]+F[263,x]<br />
  
    F[263,x] = F[264,x]<br />
  
    F[264,x] = F[210,x]*F[262,x]*F[4,x]<br />
  
    F[265,x] = F[251,x]*F[4,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[210,x]*F[251,x]*F[4,x]<br />
  
    F[268,x] = F[269,x]+F[276,x]<br />
  
    F[269,x] = F[270,x]+F[273,x]+F[275,x]+F[41,x]<br />
  
    F[270,x] = F[271,x]<br />
  
    F[271,x] = F[272,x]*F[4,x]<br />
  
    F[272,x] = F[269,x]<br />
  
    F[273,x] = F[274,x]<br />
  
    F[274,x] = F[161,x]*F[32,x]*F[4,x]<br />
  
    F[275,x] = F[268,x]*F[4,x]<br />
  
    F[276,x] = F[277,x]<br />
  
    F[277,x] = F[210,x]*F[268,x]*F[4,x]<br />
  
    F[278,x] = F[279,x]<br />
  
    F[279,x] = F[280,x]*F[4,x]<br />
  
    F[280,x] = F[281,x]+F[284,x]<br />
  
    F[281,x] = F[148,x]+F[282,x]<br />
  
    F[282,x] = F[283,x]<br />
  
    F[283,x] = F[148,x]*F[4,x]*F[53,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[286,x]*F[4,x]*F[53,x]<br />
  
    F[286,x] = F[287,x]+F[335,x]<br />
  
    F[287,x] = 1/F[40,x]*F[288,x]<br />
  
    F[288,x] = F[289,x]<br />
  
    F[289,x] = -F[334,x]+F[290,x]<br />
  
    F[290,x] = F[291,x]<br />
  
    F[291,x] = F[292,x]*F[4,x]<br />
  
    F[292,x] = 1/F[4,x]*F[293,x]<br />
  
    F[293,x] = F[294,x]<br />
  
    F[294,x] = -F[319,x]+F[295,x]<br />
  
    F[295,x] = 1/F[4,x]*F[296,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[298,x]*F[4,x]<br />
  
    F[298,x] = F[299,x]+F[312,x]<br />
  
    F[299,x] = F[300,x]+F[305,x]+F[41,x]<br />
  
    F[300,x] = F[301,x]<br />
  
    F[301,x] = F[302,x]*F[4,x]<br />
  
    F[302,x] = F[303,x]+F[304,x]<br />
  
    F[303,x] = F[161,x]*F[37,x]<br />
  
    F[304,x] = F[231,x]+F[257,x]<br />
  
    F[305,x] = F[306,x]*F[4,x]<br />
  
    F[306,x] = F[299,x]+F[307,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[309,x]*F[4,x]<br />
  
    F[309,x] = F[310,x]+F[311,x]<br />
  
    F[310,x] = F[162,x]*F[306,x]<br />
  
    F[311,x] = F[211,x]*F[247,x]<br />
  
    F[312,x] = -F[316,x]+F[313,x]<br />
  
    F[313,x] = 1/F[4,x]*F[314,x]<br />
  
    F[314,x] = F[315,x]<br />
  
    F[315,x] = -F[153,x]+F[43,x]<br />
  
    F[316,x] = F[252,x]+F[317,x]<br />
  
    F[317,x] = F[318,x]<br />
  
    F[318,x] = F[210,x]*F[313,x]*F[4,x]<br />
  
    F[319,x] = F[167,x]*F[320,x]<br />
  
    F[320,x] = F[15,x]+F[321,x]<br />
  
    F[321,x] = F[322,x]<br />
  
    F[322,x] = F[323,x]*F[4,x]<br />
  
    F[323,x] = F[324,x]+F[328,x]+F[5,x]<br />
  
    F[324,x] = F[325,x]<br />
  
    F[325,x] = F[326,x]*F[4,x]<br />
  
    F[326,x] = 1/F[4,x]*F[327,x]<br />
  
    F[327,x] = F[38,x]<br />
  
    F[328,x] = F[329,x]*F[4,x]<br />
  
    F[329,x] = 1/F[4,x]*F[330,x]<br />
  
    F[330,x] = F[331,x]<br />
  
    F[331,x] = 1/F[4,x]*F[332,x]<br />
  
    F[332,x] = -F[333,x]-F[41,x]+F[111,x]<br />
  
    F[333,x] = F[37,x]*F[4,x]<br />
  
    F[334,x] = F[2,x]*F[221,x]<br />
  
    F[335,x] = F[336,x]<br />
  
    F[336,x] = F[210,x]*F[286,x]*F[4,x]<br />
  
    F[337,x] = F[338,x]<br />
  
    F[338,x] = F[339,x]*F[4,x]<br />
  
    F[339,x] = F[340,x]+F[385,x]<br />
  
    F[340,x] = 1/F[4,x]*F[341,x]<br />
  
    F[341,x] = F[342,x]<br />
  
    F[342,x] = -F[148,x]+F[343,x]<br />
  
    F[343,x] = F[344,x]+F[346,x]<br />
  
    F[344,x] = F[345,x]<br />
  
    F[345,x] = F[104,x]*F[162,x]*F[31,x]<br />
  
    F[346,x] = F[347,x]<br />
  
    F[347,x] = F[348,x]*F[4,x]<br />
  
    F[348,x] = F[349,x]+F[383,x]<br />
  
    F[349,x] = F[104,x]*F[350,x]<br />
  
    F[350,x] = 1/F[4,x]*F[351,x]<br />
  
    F[351,x] = F[352,x]<br />
  
    F[352,x] = F[353,x]+F[378,x]<br />
  
    F[353,x] = F[354,x]+F[358,x]+F[377,x]+F[41,x]<br />
  
    F[354,x] = F[355,x]*F[4,x]<br />
  
    F[355,x] = F[144,x]+F[356,x]<br />
  
    F[356,x] = F[357,x]<br />
  
    F[357,x] = F[287,x]*F[4,x]<br />
  
    F[358,x] = -F[359,x]-F[377,x]-F[41,x]+F[331,x]<br />
  
    F[359,x] = F[360,x]*F[4,x]<br />
  
    F[360,x] = 1/F[4,x]*F[361,x]<br />
  
    F[361,x] = -F[1,x]-F[362,x]-F[376,x]+F[7,x]<br />
  
    F[362,x] = F[363,x]*F[4,x]<br />
  
    F[363,x] = 1/F[4,x]*F[364,x]<br />
  
    F[364,x] = -F[1,x]-F[365,x]-F[369,x]+F[37,x]<br />
  
    F[365,x] = F[366,x]*F[4,x]<br />
  
    F[366,x] = F[32,x]+F[367,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[210,x]*F[366,x]*F[4,x]<br />
  
    F[369,x] = -F[1,x]-F[370,x]-F[371,x]+F[141,x]<br />
  
    F[370,x] = F[210,x]*F[4,x]<br />
  
    F[371,x] = F[372,x]*F[4,x]<br />
  
    F[372,x] = 1/F[4,x]*F[373,x]<br />
  
    F[373,x] = -F[1,x]-F[374,x]-F[375,x]+F[107,x]<br />
  
    F[374,x] = F[210,x]*F[4,x]<br />
  
    F[375,x] = F[355,x]*F[4,x]<br />
  
    F[376,x] = F[366,x]*F[4,x]<br />
  
    F[377,x] = F[352,x]*F[4,x]<br />
  
    F[378,x] = F[379,x]<br />
  
    F[379,x] = F[380,x]*F[4,x]<br />
  
    F[380,x] = F[381,x]+F[382,x]<br />
  
    F[381,x] = F[162,x]*F[352,x]<br />
  
    F[382,x] = F[149,x]*F[211,x]<br />
  
    F[383,x] = F[286,x]*F[384,x]<br />
  
    F[384,x] = -F[104,x]+F[141,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = F[286,x]*F[387,x]*F[4,x]<br />
  
    F[387,x] = 1/F[4,x]*F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = -F[104,x]-F[392,x]+F[390,x]<br />
  
    F[390,x] = 1/F[4,x]*F[391,x]<br />
  
    F[391,x] = F[138,x]<br />
  
    F[392,x] = F[393,x]<br />
  
    F[393,x] = F[394,x]*F[4,x]<br />
  
    F[394,x] = 1/F[4,x]*F[395,x]<br />
  
    F[395,x] = F[140,x]<br />
  
    F[396,x] = F[120,x]+F[397,x]<br />
  
    F[397,x] = F[398,x]+F[54,x]<br />
  
    F[398,x] = F[399,x]<br />
  
    F[399,x] = F[4,x]*F[400,x]<br />
  
    F[400,x] = F[401,x]+F[404,x]<br />
  
    F[401,x] = F[402,x]+F[54,x]<br />
  
    F[402,x] = F[403,x]<br />
  
    F[403,x] = F[4,x]*F[54,x]<br />
  
    F[404,x] = F[398,x]+F[405,x]<br />
  
    F[405,x] = 2*F[41,x]+F[406,x]+F[410,x]<br />
  
    F[406,x] = F[4,x]*F[407,x]<br />
  
    F[407,x] = F[408,x]+F[409,x]<br />
  
    F[408,x] = F[402,x]<br />
  
    F[409,x] = F[405,x]<br />
  
    F[410,x] = F[398,x]*F[4,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[103,x]*F[413,x]<br />
  
    F[413,x] = F[414,x]+F[79,x]<br />
  
    F[414,x] = F[81,x]<br />
  
    F[415,x] = F[4,x]*F[72,x]<br />
  
    F[416,x] = F[4,x]*F[417,x]<br />
  
    F[417,x] = 1/F[4,x]*F[418,x]<br />
  
    F[418,x] = -F[1,x]-F[420,x]-F[421,x]+F[419,x]<br />
  
    F[419,x] = F[34,x]+F[74,x]<br />
  
    F[420,x] = F[4,x]*F[69,x]<br />
  
    F[421,x] = F[4,x]*F[72,x]<br />
  
    F[422,x] = F[4,x]*F[64,x]<br />
  
    F[423,x] = F[4,x]*F[63,x]<br />
  
    F[424,x] = F[425,x]<br />
  
    F[425,x] = F[4,x]*F[426,x]<br />
  
    F[426,x] = F[427,x]+F[62,x]<br />
  
    F[427,x] = F[428,x]<br />
  
    F[428,x] = F[4,x]*F[429,x]<br />
  
    F[429,x] = 1/F[4,x]*F[430,x]<br />
  
    F[430,x] = F[431,x]<br />
  
    F[431,x] = F[4,x]*F[432,x]*F[53,x]<br />
  
    F[432,x] = 1/F[4,x]*F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = -F[64,x]+F[417,x]<br />
  
    F[435,x] = F[436,x]<br />
  
    F[436,x] = F[210,x]*F[4,x]*F[62,x]<br />
  
    F[437,x] = F[438,x]*F[53,x]<br />
  
    F[438,x] = F[439,x]<br />
  
    F[439,x] = F[210,x]*F[4,x]*F[440,x]<br />
  
    F[440,x] = F[438,x]+F[49,x]<br />
  
    F[441,x] = F[442,x]<br />
  
    F[442,x] = F[210,x]*F[4,x]*F[443,x]<br />
  
    F[443,x] = F[441,x]+F[444,x]<br />
  
    F[444,x] = F[43,x]+F[445,x]<br />
  
    F[445,x] = F[446,x]<br />
  
    F[446,x] = F[4,x]*F[447,x]<br />
  
    F[447,x] = F[443,x]+F[57,x]<br />
  
    F[448,x] = F[31,x]<br />
  
    F[449,x] = F[450,x]+F[452,x]<br />
  
    F[450,x] = F[28,x]*F[451,x]<br />
  
    F[451,x] = 1/F[4,x]*F[110,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[4,x]*F[454,x]<br />
  
    F[454,x] = F[455,x]+F[461,x]<br />
  
    F[455,x] = F[451,x]*F[456,x]<br />
  
    F[456,x] = 1/F[4,x]*F[457,x]<br />
  
    F[457,x] = -F[28,x]-F[458,x]+F[323,x]<br />
  
    F[458,x] = F[4,x]*F[459,x]<br />
  
    F[459,x] = 1/F[4,x]*F[460,x]<br />
  
    F[460,x] = F[451,x]<br />
  
    F[461,x] = F[462,x]<br />
  
    F[462,x] = F[114,x]*F[4,x]*F[463,x]<br />
  
    F[463,x] = 1/F[4,x]*F[464,x]<br />
  
    F[464,x] = F[465,x]<br />
  
    F[465,x] = -F[466,x]-F[467,x]-F[476,x]+F[326,x]<br />
  
    F[466,x] = F[162,x]*F[31,x]<br />
  
    F[467,x] = F[4,x]*F[468,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[162,x]*F[329,x]<br />
  
    F[470,x] = F[471,x]<br />
  
    F[471,x] = F[162,x]*F[4,x]*F[472,x]*F[53,x]<br />
  
    F[472,x] = F[473,x]+F[474,x]<br />
  
    F[473,x] = F[162,x]*F[366,x]<br />
  
    F[474,x] = F[475,x]<br />
  
    F[475,x] = F[162,x]*F[210,x]*F[4,x]*F[472,x]<br />
  
    F[476,x] = F[477,x]<br />
  
    F[477,x] = F[4,x]*F[478,x]<br />
  
    F[478,x] = 1/F[4,x]*F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = 1/F[4,x]*F[481,x]<br />
  
    F[481,x] = -F[365,x]-F[41,x]-F[482,x]+F[38,x]<br />
  
    F[482,x] = F[4,x]*F[483,x]<br />
  
    F[483,x] = -F[7,x]+F[363,x]<br />
  
    F[484,x] = F[485,x]<br />
  
    F[485,x] = F[114,x]*F[366,x]*F[4,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = F[114,x]*F[360,x]*F[4,x]<br />
  
    F[488,x] = F[4,x]*F[489,x]<br />
  
    F[489,x] = F[16,x]+F[490,x]<br />
  
    F[490,x] = F[491,x]<br />
  
    F[491,x] = F[4,x]*F[492,x]<br />
  
    F[492,x] = F[493,x]+F[512,x]<br />
  
    F[493,x] = F[494,x]+F[507,x]<br />
  
    F[494,x] = F[495,x]+F[496,x]<br />
  
    F[495,x] = F[16,x]*F[28,x]<br />
  
    F[496,x] = 1/F[4,x]*F[497,x]<br />
  
    F[497,x] = -F[451,x]-F[505,x]+F[498,x]<br />
  
    F[498,x] = F[499,x]<br />
  
    F[499,x] = F[4,x]*F[500,x]<br />
  
    F[500,x] = F[501,x]+F[504,x]<br />
  
    F[501,x] = F[5,x]*F[502,x]<br />
  
    F[502,x] = 1/F[4,x]*F[503,x]<br />
  
    F[503,x] = F[451,x]<br />
  
    F[504,x] = F[114,x]*F[38,x]<br />
  
    F[505,x] = F[4,x]*F[506,x]<br />
  
    F[506,x] = F[449,x]+F[484,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[114,x]*F[4,x]*F[509,x]<br />
  
    F[509,x] = 1/F[4,x]*F[510,x]<br />
  
    F[510,x] = -F[1,x]-F[359,x]-F[511,x]+F[32,x]<br />
  
    F[511,x] = F[149,x]*F[4,x]<br />
  
    F[512,x] = F[513,x]<br />
  
    F[513,x] = F[114,x]*F[149,x]*F[4,x]<br />
  
    F[514,x] = F[515,x]+F[516,x]<br />
  
    F[515,x] = F[105,x]*F[28,x]<br />
  
    F[516,x] = F[517,x]<br />
  
    F[517,x] = F[4,x]*F[518,x]<br />
  
    F[518,x] = F[519,x]+F[520,x]<br />
  
    F[519,x] = F[105,x]*F[502,x]<br />
  
    F[520,x] = F[114,x]*F[384,x]<br />
  
    F[521,x] = F[41,x]+F[522,x]+F[525,x]+F[527,x]+F[547,x]<br />
  
    F[522,x] = F[523,x]<br />
  
    F[523,x] = F[4,x]*F[524,x]<br />
  
    F[524,x] = F[521,x]<br />
  
    F[525,x] = F[526,x]<br />
  
    F[526,x] = F[144,x]*F[16,x]*F[4,x]<br />
  
    F[527,x] = F[4,x]*F[528,x]<br />
  
    F[528,x] = -F[532,x]+F[529,x]<br />
  
    F[529,x] = 1/F[4,x]*F[530,x]<br />
  
    F[530,x] = F[531,x]<br />
  
    F[531,x] = -F[16,x]+F[489,x]<br />
  
    F[532,x] = F[533,x]+F[545,x]<br />
  
    F[533,x] = 1/F[4,x]*F[534,x]<br />
  
    F[534,x] = -F[104,x]-F[535,x]-F[541,x]+F[13,x]<br />
  
    F[535,x] = F[536,x]<br />
  
    F[536,x] = F[4,x]*F[537,x]<br />
  
    F[537,x] = F[538,x]+F[539,x]<br />
  
    F[538,x] = F[141,x]*F[16,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[114,x]*F[141,x]*F[4,x]<br />
  
    F[541,x] = F[4,x]*F[542,x]<br />
  
    F[542,x] = F[13,x]+F[543,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[545,x] = F[546,x]<br />
  
    F[546,x] = F[104,x]*F[114,x]*F[4,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[4,x]*F[521,x]<br />
  
    F[549,x] = F[514,x]+F[550,x]<br />
  
    F[550,x] = F[551,x]<br />
  
    F[551,x] = F[114,x]*F[353,x]*F[4,x]<br />
  
    F[552,x] = F[553,x]<br />
  
    F[553,x] = F[4,x]*F[554,x]<br />
  
    F[554,x] = F[555,x]+F[559,x]<br />
  
    F[555,x] = F[556,x]+F[557,x]<br />
  
    F[556,x] = F[16,x]*F[323,x]<br />
  
    F[557,x] = F[558,x]<br />
  
    F[558,x] = F[114,x]*F[326,x]*F[4,x]<br />
  
    F[559,x] = F[560,x]<br />
  
    F[560,x] = F[114,x]*F[329,x]*F[4,x]<br />
  
    F[561,x] = F[16,x]*F[4,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_{4}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = x<br />
  
    F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{561}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{5}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{552}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = -F_{549}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{15}\! \left(x \right) x +F_{15} \left(x \right)^{2}-2 F_{15}\! \left(x \right)+2<br />
  
    F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)+F_{19}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{20}\! \left(x \right)-F_{488}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{486}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{15}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right) F_{448}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{36}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{35}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{45}\! \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_{41}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = 0<br />
  
    F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{41}\! \left(x \right)+F_{50}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{441}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{437}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{41}\! \left(x \right)+F_{59}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{435}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{423}\! \left(x \right)+F_{424}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{1}\! \left(x \right)+F_{416}\! \left(x \right)+F_{422}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{64}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{70}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{415}\! \left(x \right)-F_{71}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{37}\! \left(x \right)+F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{53}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{53}\! \left(x \right)}<br />
  
    F_{82}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{87}\! \left(x \right) = F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{41}\! \left(x \right)+F_{89}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{91}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{102}\! \left(x \right)+F_{78}\! \left(x \right)+F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{101}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{112}\! \left(x \right)+F_{113}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{15}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{110}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{104}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = -F_{41}\! \left(x \right)-F_{6}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{131}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{4}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{411}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{143}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = -F_{396}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{142}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{143}\! \left(x \right)+F_{104}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{104}\! \left(x \right)+F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{278}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{151}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{242}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{0}\! \left(x \right)+F_{153}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{240}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{0}\! \left(x \right)+F_{157}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{167}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{1}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{162}\! \left(x \right) F_{164}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{198}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{161}\! \left(x \right)+F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{192}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{121}\! \left(x \right)+F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{191}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{180}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{178}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{174}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{188}\! \left(x \right)+F_{189}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{178}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{183}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{174}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{126}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{197}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{194}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{193}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{201}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{202}\! \left(x \right)-F_{205}\! \left(x \right)+F_{150}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{150}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{149}\! \left(x \right)+F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{207}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{162}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{162}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{210}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{227}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{222}\! \left(x \right) = -F_{161}\! \left(x \right)-F_{223}\! \left(x \right)+F_{136}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{226}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = F_{210}\! \left(x \right) F_{217}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{234}\! \left(x \right)+F_{235}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{231}\! \left(x \right)+F_{237}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{210}\! \left(x \right) F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{153}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{155}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{251}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{150}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{265}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{161}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{260}\! \left(x \right)+F_{261}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{257}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{257}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{210}\! \left(x \right) F_{262}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{210}\! \left(x \right) F_{251}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{276}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{273}\! \left(x \right)+F_{275}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{161}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{210}\! \left(x \right) F_{268}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{284}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{148}\! \left(x \right)+F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{286}\! \left(x \right) F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{335}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{40}\! \left(x \right)}<br />
  
    F_{288}\! \left(x \right) = F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{290}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{293}\! \left(x \right) = F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = -F_{319}\! \left(x \right)+F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = \frac{F_{296}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{305}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{161}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{231}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{299}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{162}\! \left(x \right) F_{306}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{211}\! \left(x \right) F_{247}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = \frac{F_{314}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{252}\! \left(x \right)+F_{317}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{318}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{210}\! \left(x \right) F_{313}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{167}\! \left(x \right) F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{15}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{322}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{328}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{327}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = \frac{F_{330}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{330}\! \left(x \right) = F_{331}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = \frac{F_{332}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{332}\! \left(x \right) = -F_{333}\! \left(x \right)-F_{41}\! \left(x \right)+F_{111}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{2}\! \left(x \right) F_{221}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{210}\! \left(x \right) F_{286}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = \frac{F_{341}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{104}\! \left(x \right) F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{104}\! \left(x \right) F_{350}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{351}\! \left(x \right) = F_{352}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{378}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{358}\! \left(x \right)+F_{377}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{144}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{287}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = -F_{359}\! \left(x \right)-F_{377}\! \left(x \right)-F_{41}\! \left(x \right)+F_{331}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{361}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{362}\! \left(x \right)-F_{376}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{363}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = \frac{F_{364}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{364}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{365}\! \left(x \right)-F_{369}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{32}\! \left(x \right)+F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{210}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{370}\! \left(x \right)-F_{371}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{373}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{374}\! \left(x \right)-F_{375}\! \left(x \right)+F_{107}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{352}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{162}\! \left(x \right) F_{352}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{149}\! \left(x \right) F_{211}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{286}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{286}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = \frac{F_{388}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{392}\! \left(x \right)+F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{391}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = \frac{F_{395}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{395}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{120}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{4}\! \left(x \right) F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{404}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{398}\! \left(x \right)+F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = 2 F_{41}\! \left(x \right)+F_{406}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{4}\! \left(x \right) F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{402}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{405}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{398}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{103}\! \left(x \right) F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = \frac{F_{418}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{418}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{420}\! \left(x \right)-F_{421}\! \left(x \right)+F_{419}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{34}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{4}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{4}\! \left(x \right) F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{4}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = \frac{F_{430}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{430}\! \left(x \right) = F_{431}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{4}\! \left(x \right) F_{432}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = \frac{F_{433}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{438}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{441}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{43}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{4}\! \left(x \right) F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{443}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{28}\! \left(x \right) F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{4}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{461}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{451}\! \left(x \right) F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = \frac{F_{457}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{457}\! \left(x \right) = -F_{28}\! \left(x \right)-F_{458}\! \left(x \right)+F_{323}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{4}\! \left(x \right) F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{460}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{464}\! \left(x \right) = F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = -F_{466}\! \left(x \right)-F_{467}\! \left(x \right)-F_{476}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{162}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{4}\! \left(x \right) F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{162}\! \left(x \right) F_{329}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)+F_{474}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{162}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{475}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{162}\! \left(x \right) F_{210}\! \left(x \right) F_{4}\! \left(x \right) F_{472}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{477}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{4}\! \left(x \right) F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = \frac{F_{479}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = \frac{F_{481}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{481}\! \left(x \right) = -F_{365}\! \left(x \right)-F_{41}\! \left(x \right)-F_{482}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{4}\! \left(x \right) F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{485}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{114}\! \left(x \right) F_{366}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{114}\! \left(x \right) F_{360}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{4}\! \left(x \right) F_{489}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{16}\! \left(x \right)+F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{4}\! \left(x \right) F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{512}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{496}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{16}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = \frac{F_{497}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{497}\! \left(x \right) = -F_{451}\! \left(x \right)-F_{505}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{4}\! \left(x \right) F_{500}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{504}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{5}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = \frac{F_{503}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{503}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{114}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{4}\! \left(x \right) F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{449}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right) F_{509}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = \frac{F_{510}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{510}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{359}\! \left(x \right)-F_{511}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{114}\! \left(x \right) F_{149}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{515}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{105}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{4}\! \left(x \right) F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{519}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{105}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{114}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{41}\! \left(x \right)+F_{522}\! \left(x \right)+F_{525}\! \left(x \right)+F_{527}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{4}\! \left(x \right) F_{524}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{521}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{144}\! \left(x \right) F_{16}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{4}\! \left(x \right) F_{528}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = -F_{532}\! \left(x \right)+F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = \frac{F_{530}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{530}\! \left(x \right) = F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{545}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = \frac{F_{534}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{534}\! \left(x \right) = -F_{104}\! \left(x \right)-F_{535}\! \left(x \right)-F_{541}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{536}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{4}\! \left(x \right) F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{538}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{141}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{114}\! \left(x \right) F_{141}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{4}\! \left(x \right) F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{13}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{104}\! \left(x \right) F_{114}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{4}\! \left(x \right) F_{521}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{514}\! \left(x \right)+F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{114}\! \left(x \right) F_{353}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{4}\! \left(x \right) F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{556}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{16}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{558}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{114}\! \left(x \right) F_{326}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{560}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{114}\! \left(x \right) F_{329}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \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_4(x)*F_5(x))<br />
  
    Eq(F_4(x), x)<br />
  
    Eq(F_5(x), F_1(x) + F_561(x) + F_6(x))<br />
  
    Eq(F_6(x), F_4(x)*F_7(x))<br />
  
    Eq(F_7(x), F_5(x) + F_8(x))<br />
  
    Eq(F_8(x), F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_4(x))<br />
  
    Eq(F_10(x), F_11(x) + F_552(x))<br />
  
    Eq(F_11(x), F_12(x) - F_549(x))<br />
  
    Eq(F_12(x), F_13(x) + F_521(x))<br />
  
    Eq(F_13(x), F_14(x) + F_514(x))<br />
  
    Eq(F_14(x), F_15(x)*F_16(x))<br />
  
    Eq(F_15(x), (x - 2)*F_15(x) + F_15(x)**2 + 2)<br />
  
    Eq(F_16(x), F_1(x) + F_17(x) + F_19(x) + F_488(x))<br />
  
    Eq(F_17(x), F_18(x)*F_4(x))<br />
  
    Eq(F_18(x), F_19(x)/F_4(x))<br />
  
    Eq(F_19(x), -F_1(x) - F_20(x) - F_488(x) + F_7(x))<br />
  
    Eq(F_20(x), F_21(x)*F_4(x))<br />
  
    Eq(F_21(x), F_22(x) + F_7(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x)*F_4(x))<br />
  
    Eq(F_24(x), F_25(x) + F_486(x))<br />
  
    Eq(F_25(x), F_26(x) + F_484(x))<br />
  
    Eq(F_26(x), F_27(x) + F_449(x))<br />
  
    Eq(F_27(x), F_28(x)*F_7(x))<br />
  
    Eq(F_28(x), F_15(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_31(x)*F_4(x)*F_448(x))<br />
  
    Eq(F_31(x), F_32(x) - F_331(x))<br />
  
    Eq(F_32(x), F_33(x)/F_4(x))<br />
  
    Eq(F_33(x), -F_1(x) + F_34(x) - F_36(x))<br />
  
    Eq(F_34(x), F_35(x)/F_4(x))<br />
  
    Eq(F_35(x), F_2(x))<br />
  
    Eq(F_36(x), F_37(x)*F_4(x))<br />
  
    Eq(F_37(x), F_38(x) + F_5(x))<br />
  
    Eq(F_38(x), F_39(x) + F_45(x))<br />
  
    Eq(F_39(x), F_2(x) + F_40(x))<br />
  
    Eq(F_40(x), F_41(x) + F_42(x) + F_44(x))<br />
  
    Eq(F_41(x), 0)<br />
  
    Eq(F_42(x), F_4(x)*F_43(x))<br />
  
    Eq(F_43(x), F_32(x) - F_5(x))<br />
  
    Eq(F_44(x), F_38(x)*F_4(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_4(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x) + F_56(x))<br />
  
    Eq(F_48(x), F_49(x)*F_53(x))<br />
  
    Eq(F_49(x), F_41(x) + F_50(x) + F_52(x))<br />
  
    Eq(F_50(x), F_4(x)*F_51(x))<br />
  
    Eq(F_51(x), F_45(x) + F_49(x))<br />
  
    Eq(F_52(x), F_32(x)*F_4(x))<br />
  
    Eq(F_53(x), F_1(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_4(x)*F_53(x))<br />
  
    Eq(F_56(x), F_441(x) + F_57(x))<br />
  
    Eq(F_57(x), F_437(x) + F_58(x))<br />
  
    Eq(F_58(x), F_41(x) + F_59(x) + F_60(x))<br />
  
    Eq(F_59(x), F_4(x)*F_57(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_4(x)*F_62(x))<br />
  
    Eq(F_62(x), F_435(x) + F_63(x))<br />
  
    Eq(F_63(x), F_423(x) + F_424(x) + F_64(x))<br />
  
    Eq(F_64(x), F_1(x) + F_416(x) + F_422(x) + F_65(x))<br />
  
    Eq(F_65(x), F_4(x)*F_66(x))<br />
  
    Eq(F_66(x), F_64(x) + F_67(x))<br />
  
    Eq(F_67(x), F_68(x))<br />
  
    Eq(F_68(x), -F_32(x) + F_69(x))<br />
  
    Eq(F_69(x), F_70(x)/F_4(x))<br />
  
    Eq(F_70(x), -F_1(x) + F_37(x) - F_415(x) - F_71(x))<br />
  
    Eq(F_71(x), F_4(x)*F_72(x))<br />
  
    Eq(F_72(x), F_37(x) + F_73(x))<br />
  
    Eq(F_73(x), F_74(x))<br />
  
    Eq(F_74(x), F_75(x) + F_81(x))<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_4(x)*F_53(x)*F_77(x))<br />
  
    Eq(F_77(x), F_78(x) + F_80(x))<br />
  
    Eq(F_78(x), F_53(x) + F_79(x))<br />
  
    Eq(F_79(x), F_76(x))<br />
  
    Eq(F_80(x), F_74(x))<br />
  
    Eq(F_81(x), F_82(x)/F_53(x))<br />
  
    Eq(F_82(x), -F_117(x) + F_83(x))<br />
  
    Eq(F_83(x), F_84(x))<br />
  
    Eq(F_84(x), F_4(x)*F_85(x))<br />
  
    Eq(F_85(x), F_86(x) + F_96(x))<br />
  
    Eq(F_86(x), F_87(x)/F_4(x))<br />
  
    Eq(F_87(x), F_88(x))<br />
  
    Eq(F_88(x), F_41(x) + F_89(x) + F_92(x) + F_94(x))<br />
  
    Eq(F_89(x), F_4(x)*F_90(x))<br />
  
    Eq(F_90(x), F_91(x)/F_4(x))<br />
  
    Eq(F_91(x), F_43(x))<br />
  
    Eq(F_92(x), F_93(x))<br />
  
    Eq(F_93(x), F_4(x)*F_53(x)*F_68(x))<br />
  
    Eq(F_94(x), F_95(x))<br />
  
    Eq(F_95(x), F_4(x)*F_88(x))<br />
  
    Eq(F_96(x), F_97(x))<br />
  
    Eq(F_97(x), F_103(x)*F_4(x)*F_98(x))<br />
  
    Eq(F_98(x), F_102(x) + F_78(x) + F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_4(x))<br />
  
    Eq(F_100(x), F_101(x)/F_4(x))<br />
  
    Eq(F_101(x), F_74(x))<br />
  
    Eq(F_102(x), F_4(x)*F_98(x))<br />
  
    Eq(F_103(x), F_104(x) + F_112(x) + F_113(x))<br />
  
    Eq(F_104(x), F_105(x) + F_15(x))<br />
  
    Eq(F_105(x), F_106(x) + F_110(x) + F_41(x))<br />
  
    Eq(F_106(x), F_107(x)*F_4(x))<br />
  
    Eq(F_107(x), F_104(x) + F_108(x))<br />
  
    Eq(F_108(x), F_109(x))<br />
  
    Eq(F_109(x), F_103(x)*F_4(x))<br />
  
    Eq(F_110(x), F_111(x) - F_41(x) - F_6(x))<br />
  
    Eq(F_111(x), -F_15(x) + F_5(x))<br />
  
    Eq(F_112(x), F_103(x)*F_4(x))<br />
  
    Eq(F_113(x), F_114(x)*F_4(x))<br />
  
    Eq(F_114(x), F_115(x)/F_4(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), -F_16(x) + F_18(x))<br />
  
    Eq(F_117(x), F_118(x))<br />
  
    Eq(F_118(x), F_119(x) + F_132(x))<br />
  
    Eq(F_119(x), F_120(x)*F_79(x))<br />
  
    Eq(F_120(x), F_1(x) + F_121(x))<br />
  
    Eq(F_121(x), F_122(x))<br />
  
    Eq(F_122(x), F_123(x)*F_4(x))<br />
  
    Eq(F_123(x), F_124(x) + F_125(x))<br />
  
    Eq(F_124(x), F_1(x) + F_4(x))<br />
  
    Eq(F_125(x), F_121(x) + F_126(x))<br />
  
    Eq(F_126(x), F_127(x) + F_131(x) + F_41(x))<br />
  
    Eq(F_127(x), F_128(x)*F_4(x))<br />
  
    Eq(F_128(x), F_129(x) + F_130(x))<br />
  
    Eq(F_129(x), F_4(x))<br />
  
    Eq(F_130(x), F_126(x))<br />
  
    Eq(F_131(x), F_121(x)*F_4(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x)*F_4(x))<br />
  
    Eq(F_134(x), F_135(x) + F_411(x))<br />
  
    Eq(F_135(x), F_136(x)*F_79(x))<br />
  
    Eq(F_136(x), F_137(x)/F_4(x))<br />
  
    Eq(F_137(x), F_138(x))<br />
  
    Eq(F_138(x), F_139(x) + F_143(x) + F_41(x))<br />
  
    Eq(F_139(x), F_140(x)*F_4(x))<br />
  
    Eq(F_140(x), F_141(x) - F_396(x))<br />
  
    Eq(F_141(x), F_142(x)/F_4(x))<br />
  
    Eq(F_142(x), -F_1(x) + F_104(x) - F_143(x))<br />
  
    Eq(F_143(x), F_144(x)*F_4(x))<br />
  
    Eq(F_144(x), F_104(x) + F_145(x))<br />
  
    Eq(F_145(x), F_146(x))<br />
  
    Eq(F_146(x), F_147(x)*F_4(x))<br />
  
    Eq(F_147(x), F_148(x) + F_337(x))<br />
  
    Eq(F_148(x), F_149(x) + F_278(x))<br />
  
    Eq(F_149(x), F_150(x) + F_218(x))<br />
  
    Eq(F_150(x), F_151(x)/F_4(x))<br />
  
    Eq(F_151(x), -F_1(x) + F_152(x) - F_242(x))<br />
  
    Eq(F_152(x), F_0(x) + F_153(x))<br />
  
    Eq(F_153(x), F_154(x))<br />
  
    Eq(F_154(x), F_155(x)*F_4(x))<br />
  
    Eq(F_155(x), F_156(x) + F_240(x))<br />
  
    Eq(F_156(x), F_0(x) + F_157(x) + F_239(x))<br />
  
    Eq(F_157(x), F_158(x))<br />
  
    Eq(F_158(x), F_159(x)*F_4(x))<br />
  
    Eq(F_159(x), F_160(x) + F_231(x))<br />
  
    Eq(F_160(x), F_161(x)*F_34(x))<br />
  
    Eq(F_161(x), F_162(x) + F_167(x))<br />
  
    Eq(F_162(x), F_1(x) + F_163(x))<br />
  
    Eq(F_163(x), F_164(x)*F_4(x))<br />
  
    Eq(F_164(x), F_165(x) + F_53(x))<br />
  
    Eq(F_165(x), F_166(x))<br />
  
    Eq(F_166(x), F_162(x)*F_164(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_167(x), F_168(x) + F_198(x) + F_41(x))<br />
  
    Eq(F_168(x), F_169(x)*F_4(x))<br />
  
    Eq(F_169(x), F_161(x) + F_170(x))<br />
  
    Eq(F_170(x), F_171(x))<br />
  
    Eq(F_171(x), F_172(x)*F_192(x)*F_4(x))<br />
  
    Eq(F_172(x), F_173(x) + F_53(x))<br />
  
    Eq(F_173(x), F_121(x) + F_174(x))<br />
  
    Eq(F_174(x), F_175(x) + F_191(x) + F_41(x))<br />
  
    Eq(F_175(x), F_176(x)*F_4(x))<br />
  
    Eq(F_176(x), F_177(x) + F_182(x))<br />
  
    Eq(F_177(x), F_178(x) + F_54(x))<br />
  
    Eq(F_178(x), F_179(x) + F_180(x) + F_41(x))<br />
  
    Eq(F_179(x), F_4(x)*F_54(x))<br />
  
    Eq(F_180(x), F_181(x)*F_4(x))<br />
  
    Eq(F_181(x), F_178(x) + F_4(x))<br />
  
    Eq(F_182(x), F_174(x) + F_183(x))<br />
  
    Eq(F_183(x), F_184(x) + F_188(x) + F_189(x) + F_41(x))<br />
  
    Eq(F_184(x), F_185(x)*F_4(x))<br />
  
    Eq(F_185(x), F_186(x) + F_187(x))<br />
  
    Eq(F_186(x), F_178(x))<br />
  
    Eq(F_187(x), F_183(x))<br />
  
    Eq(F_188(x), F_174(x)*F_4(x))<br />
  
    Eq(F_189(x), F_190(x)*F_4(x))<br />
  
    Eq(F_190(x), F_126(x) + F_183(x))<br />
  
    Eq(F_191(x), F_173(x)*F_4(x))<br />
  
    Eq(F_192(x), F_193(x) + F_53(x))<br />
  
    Eq(F_193(x), F_194(x) + F_54(x))<br />
  
    Eq(F_194(x), F_195(x) + F_197(x) + F_41(x))<br />
  
    Eq(F_195(x), F_196(x)*F_4(x))<br />
  
    Eq(F_196(x), F_194(x) + F_54(x))<br />
  
    Eq(F_197(x), F_193(x)*F_4(x))<br />
  
    Eq(F_198(x), F_199(x)*F_4(x))<br />
  
    Eq(F_199(x), -F_164(x) + F_200(x))<br />
  
    Eq(F_200(x), F_201(x)/F_4(x))<br />
  
    Eq(F_201(x), -F_1(x) + F_150(x) - F_202(x) - F_205(x))<br />
  
    Eq(F_202(x), F_203(x)*F_4(x))<br />
  
    Eq(F_203(x), F_150(x) + F_204(x))<br />
  
    Eq(F_204(x), F_170(x))<br />
  
    Eq(F_205(x), F_206(x)*F_4(x))<br />
  
    Eq(F_206(x), F_207(x) - F_217(x))<br />
  
    Eq(F_207(x), F_149(x) + F_208(x))<br />
  
    Eq(F_208(x), F_209(x))<br />
  
    Eq(F_209(x), F_207(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_210(x), F_162(x) + F_211(x))<br />
  
    Eq(F_211(x), F_212(x) + F_54(x))<br />
  
    Eq(F_212(x), F_213(x))<br />
  
    Eq(F_213(x), F_214(x)*F_4(x))<br />
  
    Eq(F_214(x), F_215(x) + F_216(x))<br />
  
    Eq(F_215(x), F_162(x)*F_211(x))<br />
  
    Eq(F_216(x), F_210(x)*F_211(x))<br />
  
    Eq(F_217(x), F_218(x) + F_229(x))<br />
  
    Eq(F_218(x), F_219(x) + F_227(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_221(x)*F_4(x))<br />
  
    Eq(F_221(x), F_222(x)/F_4(x))<br />
  
    Eq(F_222(x), F_136(x) - F_161(x) - F_223(x))<br />
  
    Eq(F_223(x), F_224(x))<br />
  
    Eq(F_224(x), F_225(x)*F_4(x))<br />
  
    Eq(F_225(x), F_226(x)/F_4(x))<br />
  
    Eq(F_226(x), F_140(x))<br />
  
    Eq(F_227(x), F_228(x))<br />
  
    Eq(F_228(x), F_217(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_229(x), F_230(x))<br />
  
    Eq(F_230(x), F_210(x)*F_217(x)*F_4(x))<br />
  
    Eq(F_231(x), F_232(x) + F_234(x) + F_235(x) + F_41(x))<br />
  
    Eq(F_232(x), F_233(x))<br />
  
    Eq(F_233(x), F_231(x)*F_4(x))<br />
  
    Eq(F_234(x), F_161(x)*F_34(x)*F_4(x))<br />
  
    Eq(F_235(x), F_236(x)*F_4(x))<br />
  
    Eq(F_236(x), F_231(x) + F_237(x))<br />
  
    Eq(F_237(x), F_238(x))<br />
  
    Eq(F_238(x), F_210(x)*F_236(x)*F_4(x))<br />
  
    Eq(F_239(x), F_153(x))<br />
  
    Eq(F_240(x), F_241(x))<br />
  
    Eq(F_241(x), F_155(x)*F_210(x)*F_4(x))<br />
  
    Eq(F_242(x), F_243(x)*F_4(x))<br />
  
    Eq(F_243(x), F_244(x) + F_5(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_246(x)*F_4(x))<br />
  
    Eq(F_246(x), F_247(x) + F_268(x))<br />
  
    Eq(F_247(x), F_248(x) + F_251(x))<br />
  
    Eq(F_248(x), F_150(x) + F_249(x))<br />
  
    Eq(F_249(x), F_250(x))<br />
  
    Eq(F_250(x), F_246(x)*F_4(x))<br />
  
    Eq(F_251(x), F_252(x) + F_266(x))<br />
  
    Eq(F_252(x), F_253(x) + F_265(x) + F_49(x))<br />
  
    Eq(F_253(x), F_254(x))<br />
  
    Eq(F_254(x), F_255(x)*F_4(x))<br />
  
    Eq(F_255(x), F_256(x) + F_257(x))<br />
  
    Eq(F_256(x), F_161(x)*F_51(x))<br />
  
    Eq(F_257(x), F_258(x) + F_260(x) + F_261(x) + F_41(x))<br />
  
    Eq(F_258(x), F_259(x))<br />
  
    Eq(F_259(x), F_257(x)*F_4(x))<br />
  
    Eq(F_260(x), F_161(x)*F_4(x)*F_51(x))<br />
  
    Eq(F_261(x), F_262(x)*F_4(x))<br />
  
    Eq(F_262(x), F_257(x) + F_263(x))<br />
  
    Eq(F_263(x), F_264(x))<br />
  
    Eq(F_264(x), F_210(x)*F_262(x)*F_4(x))<br />
  
    Eq(F_265(x), F_251(x)*F_4(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_210(x)*F_251(x)*F_4(x))<br />
  
    Eq(F_268(x), F_269(x) + F_276(x))<br />
  
    Eq(F_269(x), F_270(x) + F_273(x) + F_275(x) + F_41(x))<br />
  
    Eq(F_270(x), F_271(x))<br />
  
    Eq(F_271(x), F_272(x)*F_4(x))<br />
  
    Eq(F_272(x), F_269(x))<br />
  
    Eq(F_273(x), F_274(x))<br />
  
    Eq(F_274(x), F_161(x)*F_32(x)*F_4(x))<br />
  
    Eq(F_275(x), F_268(x)*F_4(x))<br />
  
    Eq(F_276(x), F_277(x))<br />
  
    Eq(F_277(x), F_210(x)*F_268(x)*F_4(x))<br />
  
    Eq(F_278(x), F_279(x))<br />
  
    Eq(F_279(x), F_280(x)*F_4(x))<br />
  
    Eq(F_280(x), F_281(x) + F_284(x))<br />
  
    Eq(F_281(x), F_148(x) + F_282(x))<br />
  
    Eq(F_282(x), F_283(x))<br />
  
    Eq(F_283(x), F_148(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_286(x)*F_4(x)*F_53(x))<br />
  
    Eq(F_286(x), F_287(x) + F_335(x))<br />
  
    Eq(F_287(x), F_288(x)/F_40(x))<br />
  
    Eq(F_288(x), F_289(x))<br />
  
    Eq(F_289(x), F_290(x) - F_334(x))<br />
  
    Eq(F_290(x), F_291(x))<br />
  
    Eq(F_291(x), F_292(x)*F_4(x))<br />
  
    Eq(F_292(x), F_293(x)/F_4(x))<br />
  
    Eq(F_293(x), F_294(x))<br />
  
    Eq(F_294(x), F_295(x) - F_319(x))<br />
  
    Eq(F_295(x), F_296(x)/F_4(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_298(x)*F_4(x))<br />
  
    Eq(F_298(x), F_299(x) + F_312(x))<br />
  
    Eq(F_299(x), F_300(x) + F_305(x) + F_41(x))<br />
  
    Eq(F_300(x), F_301(x))<br />
  
    Eq(F_301(x), F_302(x)*F_4(x))<br />
  
    Eq(F_302(x), F_303(x) + F_304(x))<br />
  
    Eq(F_303(x), F_161(x)*F_37(x))<br />
  
    Eq(F_304(x), F_231(x) + F_257(x))<br />
  
    Eq(F_305(x), F_306(x)*F_4(x))<br />
  
    Eq(F_306(x), F_299(x) + F_307(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_309(x)*F_4(x))<br />
  
    Eq(F_309(x), F_310(x) + F_311(x))<br />
  
    Eq(F_310(x), F_162(x)*F_306(x))<br />
  
    Eq(F_311(x), F_211(x)*F_247(x))<br />
  
    Eq(F_312(x), F_313(x) - F_316(x))<br />
  
    Eq(F_313(x), F_314(x)/F_4(x))<br />
  
    Eq(F_314(x), F_315(x))<br />
  
    Eq(F_315(x), -F_153(x) + F_43(x))<br />
  
    Eq(F_316(x), F_252(x) + F_317(x))<br />
  
    Eq(F_317(x), F_318(x))<br />
  
    Eq(F_318(x), F_210(x)*F_313(x)*F_4(x))<br />
  
    Eq(F_319(x), F_167(x)*F_320(x))<br />
  
    Eq(F_320(x), F_15(x) + F_321(x))<br />
  
    Eq(F_321(x), F_322(x))<br />
  
    Eq(F_322(x), F_323(x)*F_4(x))<br />
  
    Eq(F_323(x), F_324(x) + F_328(x) + F_5(x))<br />
  
    Eq(F_324(x), F_325(x))<br />
  
    Eq(F_325(x), F_326(x)*F_4(x))<br />
  
    Eq(F_326(x), F_327(x)/F_4(x))<br />
  
    Eq(F_327(x), F_38(x))<br />
  
    Eq(F_328(x), F_329(x)*F_4(x))<br />
  
    Eq(F_329(x), F_330(x)/F_4(x))<br />
  
    Eq(F_330(x), F_331(x))<br />
  
    Eq(F_331(x), F_332(x)/F_4(x))<br />
  
    Eq(F_332(x), F_111(x) - F_333(x) - F_41(x))<br />
  
    Eq(F_333(x), F_37(x)*F_4(x))<br />
  
    Eq(F_334(x), F_2(x)*F_221(x))<br />
  
    Eq(F_335(x), F_336(x))<br />
  
    Eq(F_336(x), F_210(x)*F_286(x)*F_4(x))<br />
  
    Eq(F_337(x), F_338(x))<br />
  
    Eq(F_338(x), F_339(x)*F_4(x))<br />
  
    Eq(F_339(x), F_340(x) + F_385(x))<br />
  
    Eq(F_340(x), F_341(x)/F_4(x))<br />
  
    Eq(F_341(x), F_342(x))<br />
  
    Eq(F_342(x), -F_148(x) + F_343(x))<br />
  
    Eq(F_343(x), F_344(x) + F_346(x))<br />
  
    Eq(F_344(x), F_345(x))<br />
  
    Eq(F_345(x), F_104(x)*F_162(x)*F_31(x))<br />
  
    Eq(F_346(x), F_347(x))<br />
  
    Eq(F_347(x), F_348(x)*F_4(x))<br />
  
    Eq(F_348(x), F_349(x) + F_383(x))<br />
  
    Eq(F_349(x), F_104(x)*F_350(x))<br />
  
    Eq(F_350(x), F_351(x)/F_4(x))<br />
  
    Eq(F_351(x), F_352(x))<br />
  
    Eq(F_352(x), F_353(x) + F_378(x))<br />
  
    Eq(F_353(x), F_354(x) + F_358(x) + F_377(x) + F_41(x))<br />
  
    Eq(F_354(x), F_355(x)*F_4(x))<br />
  
    Eq(F_355(x), F_144(x) + F_356(x))<br />
  
    Eq(F_356(x), F_357(x))<br />
  
    Eq(F_357(x), F_287(x)*F_4(x))<br />
  
    Eq(F_358(x), F_331(x) - F_359(x) - F_377(x) - F_41(x))<br />
  
    Eq(F_359(x), F_360(x)*F_4(x))<br />
  
    Eq(F_360(x), F_361(x)/F_4(x))<br />
  
    Eq(F_361(x), -F_1(x) - F_362(x) - F_376(x) + F_7(x))<br />
  
    Eq(F_362(x), F_363(x)*F_4(x))<br />
  
    Eq(F_363(x), F_364(x)/F_4(x))<br />
  
    Eq(F_364(x), -F_1(x) - F_365(x) - F_369(x) + F_37(x))<br />
  
    Eq(F_365(x), F_366(x)*F_4(x))<br />
  
    Eq(F_366(x), F_32(x) + F_367(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_210(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_369(x), -F_1(x) + F_141(x) - F_370(x) - F_371(x))<br />
  
    Eq(F_370(x), F_210(x)*F_4(x))<br />
  
    Eq(F_371(x), F_372(x)*F_4(x))<br />
  
    Eq(F_372(x), F_373(x)/F_4(x))<br />
  
    Eq(F_373(x), -F_1(x) + F_107(x) - F_374(x) - F_375(x))<br />
  
    Eq(F_374(x), F_210(x)*F_4(x))<br />
  
    Eq(F_375(x), F_355(x)*F_4(x))<br />
  
    Eq(F_376(x), F_366(x)*F_4(x))<br />
  
    Eq(F_377(x), F_352(x)*F_4(x))<br />
  
    Eq(F_378(x), F_379(x))<br />
  
    Eq(F_379(x), F_380(x)*F_4(x))<br />
  
    Eq(F_380(x), F_381(x) + F_382(x))<br />
  
    Eq(F_381(x), F_162(x)*F_352(x))<br />
  
    Eq(F_382(x), F_149(x)*F_211(x))<br />
  
    Eq(F_383(x), F_286(x)*F_384(x))<br />
  
    Eq(F_384(x), -F_104(x) + F_141(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_286(x)*F_387(x)*F_4(x))<br />
  
    Eq(F_387(x), F_388(x)/F_4(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), -F_104(x) + F_390(x) - F_392(x))<br />
  
    Eq(F_390(x), F_391(x)/F_4(x))<br />
  
    Eq(F_391(x), F_138(x))<br />
  
    Eq(F_392(x), F_393(x))<br />
  
    Eq(F_393(x), F_394(x)*F_4(x))<br />
  
    Eq(F_394(x), F_395(x)/F_4(x))<br />
  
    Eq(F_395(x), F_140(x))<br />
  
    Eq(F_396(x), F_120(x) + F_397(x))<br />
  
    Eq(F_397(x), F_398(x) + F_54(x))<br />
  
    Eq(F_398(x), F_399(x))<br />
  
    Eq(F_399(x), F_4(x)*F_400(x))<br />
  
    Eq(F_400(x), F_401(x) + F_404(x))<br />
  
    Eq(F_401(x), F_402(x) + F_54(x))<br />
  
    Eq(F_402(x), F_403(x))<br />
  
    Eq(F_403(x), F_4(x)*F_54(x))<br />
  
    Eq(F_404(x), F_398(x) + F_405(x))<br />
  
    Eq(F_405(x), F_406(x) + 2*F_41(x) + F_410(x))<br />
  
    Eq(F_406(x), F_4(x)*F_407(x))<br />
  
    Eq(F_407(x), F_408(x) + F_409(x))<br />
  
    Eq(F_408(x), F_402(x))<br />
  
    Eq(F_409(x), F_405(x))<br />
  
    Eq(F_410(x), F_398(x)*F_4(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_103(x)*F_413(x))<br />
  
    Eq(F_413(x), F_414(x) + F_79(x))<br />
  
    Eq(F_414(x), F_81(x))<br />
  
    Eq(F_415(x), F_4(x)*F_72(x))<br />
  
    Eq(F_416(x), F_4(x)*F_417(x))<br />
  
    Eq(F_417(x), F_418(x)/F_4(x))<br />
  
    Eq(F_418(x), -F_1(x) + F_419(x) - F_420(x) - F_421(x))<br />
  
    Eq(F_419(x), F_34(x) + F_74(x))<br />
  
    Eq(F_420(x), F_4(x)*F_69(x))<br />
  
    Eq(F_421(x), F_4(x)*F_72(x))<br />
  
    Eq(F_422(x), F_4(x)*F_64(x))<br />
  
    Eq(F_423(x), F_4(x)*F_63(x))<br />
  
    Eq(F_424(x), F_425(x))<br />
  
    Eq(F_425(x), F_4(x)*F_426(x))<br />
  
    Eq(F_426(x), F_427(x) + F_62(x))<br />
  
    Eq(F_427(x), F_428(x))<br />
  
    Eq(F_428(x), F_4(x)*F_429(x))<br />
  
    Eq(F_429(x), F_430(x)/F_4(x))<br />
  
    Eq(F_430(x), F_431(x))<br />
  
    Eq(F_431(x), F_4(x)*F_432(x)*F_53(x))<br />
  
    Eq(F_432(x), F_433(x)/F_4(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_417(x) - F_64(x))<br />
  
    Eq(F_435(x), F_436(x))<br />
  
    Eq(F_436(x), F_210(x)*F_4(x)*F_62(x))<br />
  
    Eq(F_437(x), F_438(x)*F_53(x))<br />
  
    Eq(F_438(x), F_439(x))<br />
  
    Eq(F_439(x), F_210(x)*F_4(x)*F_440(x))<br />
  
    Eq(F_440(x), F_438(x) + F_49(x))<br />
  
    Eq(F_441(x), F_442(x))<br />
  
    Eq(F_442(x), F_210(x)*F_4(x)*F_443(x))<br />
  
    Eq(F_443(x), F_441(x) + F_444(x))<br />
  
    Eq(F_444(x), F_43(x) + F_445(x))<br />
  
    Eq(F_445(x), F_446(x))<br />
  
    Eq(F_446(x), F_4(x)*F_447(x))<br />
  
    Eq(F_447(x), F_443(x) + F_57(x))<br />
  
    Eq(F_448(x), F_31(x))<br />
  
    Eq(F_449(x), F_450(x) + F_452(x))<br />
  
    Eq(F_450(x), F_28(x)*F_451(x))<br />
  
    Eq(F_451(x), F_110(x)/F_4(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_4(x)*F_454(x))<br />
  
    Eq(F_454(x), F_455(x) + F_461(x))<br />
  
    Eq(F_455(x), F_451(x)*F_456(x))<br />
  
    Eq(F_456(x), F_457(x)/F_4(x))<br />
  
    Eq(F_457(x), -F_28(x) + F_323(x) - F_458(x))<br />
  
    Eq(F_458(x), F_4(x)*F_459(x))<br />
  
    Eq(F_459(x), F_460(x)/F_4(x))<br />
  
    Eq(F_460(x), F_451(x))<br />
  
    Eq(F_461(x), F_462(x))<br />
  
    Eq(F_462(x), F_114(x)*F_4(x)*F_463(x))<br />
  
    Eq(F_463(x), F_464(x)/F_4(x))<br />
  
    Eq(F_464(x), F_465(x))<br />
  
    Eq(F_465(x), F_326(x) - F_466(x) - F_467(x) - F_476(x))<br />
  
    Eq(F_466(x), F_162(x)*F_31(x))<br />
  
    Eq(F_467(x), F_4(x)*F_468(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_162(x)*F_329(x))<br />
  
    Eq(F_470(x), F_471(x))<br />
  
    Eq(F_471(x), F_162(x)*F_4(x)*F_472(x)*F_53(x))<br />
  
    Eq(F_472(x), F_473(x) + F_474(x))<br />
  
    Eq(F_473(x), F_162(x)*F_366(x))<br />
  
    Eq(F_474(x), F_475(x))<br />
  
    Eq(F_475(x), F_162(x)*F_210(x)*F_4(x)*F_472(x))<br />
  
    Eq(F_476(x), F_477(x))<br />
  
    Eq(F_477(x), F_4(x)*F_478(x))<br />
  
    Eq(F_478(x), F_479(x)/F_4(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_481(x)/F_4(x))<br />
  
    Eq(F_481(x), -F_365(x) + F_38(x) - F_41(x) - F_482(x))<br />
  
    Eq(F_482(x), F_4(x)*F_483(x))<br />
  
    Eq(F_483(x), F_363(x) - F_7(x))<br />
  
    Eq(F_484(x), F_485(x))<br />
  
    Eq(F_485(x), F_114(x)*F_366(x)*F_4(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_114(x)*F_360(x)*F_4(x))<br />
  
    Eq(F_488(x), F_4(x)*F_489(x))<br />
  
    Eq(F_489(x), F_16(x) + F_490(x))<br />
  
    Eq(F_490(x), F_491(x))<br />
  
    Eq(F_491(x), F_4(x)*F_492(x))<br />
  
    Eq(F_492(x), F_493(x) + F_512(x))<br />
  
    Eq(F_493(x), F_494(x) + F_507(x))<br />
  
    Eq(F_494(x), F_495(x) + F_496(x))<br />
  
    Eq(F_495(x), F_16(x)*F_28(x))<br />
  
    Eq(F_496(x), F_497(x)/F_4(x))<br />
  
    Eq(F_497(x), -F_451(x) + F_498(x) - F_505(x))<br />
  
    Eq(F_498(x), F_499(x))<br />
  
    Eq(F_499(x), F_4(x)*F_500(x))<br />
  
    Eq(F_500(x), F_501(x) + F_504(x))<br />
  
    Eq(F_501(x), F_5(x)*F_502(x))<br />
  
    Eq(F_502(x), F_503(x)/F_4(x))<br />
  
    Eq(F_503(x), F_451(x))<br />
  
    Eq(F_504(x), F_114(x)*F_38(x))<br />
  
    Eq(F_505(x), F_4(x)*F_506(x))<br />
  
    Eq(F_506(x), F_449(x) + F_484(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_114(x)*F_4(x)*F_509(x))<br />
  
    Eq(F_509(x), F_510(x)/F_4(x))<br />
  
    Eq(F_510(x), -F_1(x) + F_32(x) - F_359(x) - F_511(x))<br />
  
    Eq(F_511(x), F_149(x)*F_4(x))<br />
  
    Eq(F_512(x), F_513(x))<br />
  
    Eq(F_513(x), F_114(x)*F_149(x)*F_4(x))<br />
  
    Eq(F_514(x), F_515(x) + F_516(x))<br />
  
    Eq(F_515(x), F_105(x)*F_28(x))<br />
  
    Eq(F_516(x), F_517(x))<br />
  
    Eq(F_517(x), F_4(x)*F_518(x))<br />
  
    Eq(F_518(x), F_519(x) + F_520(x))<br />
  
    Eq(F_519(x), F_105(x)*F_502(x))<br />
  
    Eq(F_520(x), F_114(x)*F_384(x))<br />
  
    Eq(F_521(x), F_41(x) + F_522(x) + F_525(x) + F_527(x) + F_547(x))<br />
  
    Eq(F_522(x), F_523(x))<br />
  
    Eq(F_523(x), F_4(x)*F_524(x))<br />
  
    Eq(F_524(x), F_521(x))<br />
  
    Eq(F_525(x), F_526(x))<br />
  
    Eq(F_526(x), F_144(x)*F_16(x)*F_4(x))<br />
  
    Eq(F_527(x), F_4(x)*F_528(x))<br />
  
    Eq(F_528(x), F_529(x) - F_532(x))<br />
  
    Eq(F_529(x), F_530(x)/F_4(x))<br />
  
    Eq(F_530(x), F_531(x))<br />
  
    Eq(F_531(x), -F_16(x) + F_489(x))<br />
  
    Eq(F_532(x), F_533(x) + F_545(x))<br />
  
    Eq(F_533(x), F_534(x)/F_4(x))<br />
  
    Eq(F_534(x), -F_104(x) + F_13(x) - F_535(x) - F_541(x))<br />
  
    Eq(F_535(x), F_536(x))<br />
  
    Eq(F_536(x), F_4(x)*F_537(x))<br />
  
    Eq(F_537(x), F_538(x) + F_539(x))<br />
  
    Eq(F_538(x), F_141(x)*F_16(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_114(x)*F_141(x)*F_4(x))<br />
  
    Eq(F_541(x), F_4(x)*F_542(x))<br />
  
    Eq(F_542(x), F_13(x) + F_543(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_545(x), F_546(x))<br />
  
    Eq(F_546(x), F_104(x)*F_114(x)*F_4(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_4(x)*F_521(x))<br />
  
    Eq(F_549(x), F_514(x) + F_550(x))<br />
  
    Eq(F_550(x), F_551(x))<br />
  
    Eq(F_551(x), F_114(x)*F_353(x)*F_4(x))<br />
  
    Eq(F_552(x), F_553(x))<br />
  
    Eq(F_553(x), F_4(x)*F_554(x))<br />
  
    Eq(F_554(x), F_555(x) + F_559(x))<br />
  
    Eq(F_555(x), F_556(x) + F_557(x))<br />
  
    Eq(F_556(x), F_16(x)*F_323(x))<br />
  
    Eq(F_557(x), F_558(x))<br />
  
    Eq(F_558(x), F_114(x)*F_326(x)*F_4(x))<br />
  
    Eq(F_559(x), F_560(x))<br />
  
    Eq(F_560(x), F_114(x)*F_329(x)*F_4(x))<br />
  
    Eq(F_561(x), F_16(x)*F_4(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_req_corrob_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], &#34;symmetry&#34;: true}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]]}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 3}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 3]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [2, 3], [3, 4]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1]], [[1, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: 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[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 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0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [1, 4]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [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;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3], [2, 0], [2, 4], [2, 5], [4, 0], [4, 4], [4, 5]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 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0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 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&#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 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[3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, 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1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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[0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [2, 3]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 0], [0, 2], [0, 4], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[[1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, 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0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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&#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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&#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 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2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4], [2, 2], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 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, 0]]}, {&#34;patt&#34;: [0], 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3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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[0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [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], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 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[[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 6], [0, 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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[0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, 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0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4], [1, 5]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [2, 0], [2, 1], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [2, 0], [2, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 3], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 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2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4], [2, 5]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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[0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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[[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4], [2, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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&#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [0, 6]], [[1, 1], [1, 7], [1, 8], [3, 0], [3, 7], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#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]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 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4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [1, 3], [1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 7], [1, 7], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 7], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 6], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [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], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 3]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0], [1, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 4]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 1], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], 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[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], 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[[0, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: 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[3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 5]], [[2, 1], [2, 4], [2, 6], [3, 0], [3, 4], [3, 6]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], 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4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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&#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: 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[0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [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;, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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[1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.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], [2, 0], [2, 3], [2, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 5], [1, 0], [1, 4], [3, 0], [3, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 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[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 1], [3, 3], [3, 4], [3, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}], &#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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[0, 3], [0, 3], [0, 3], [0, 3]]}], &#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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[2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: 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2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 2], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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[[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3], [0, 4]], [[1, 2]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 0], [2, 1], [2, 3], [2, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, 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[[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [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], [0, 5]], [[1, 1], [1, 4], [2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#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, 2], [0, 3], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, 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[0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 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4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 3]], [[1, 0], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 7], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5]], [[1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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;: 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 3], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 7], [4, 0], [4, 7], [4, 7], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 5]], [[2, 1], [2, 6], [2, 7], [4, 0], [4, 6], [4, 7]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 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2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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;: 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: 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2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 5]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4], [3, 0], [3, 5]], [[2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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[[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2], [1, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [1, 4]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 6], [1, 1], [1, 5]]}, {&#34;patt&#34;: 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0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4], [0, 7]], [[1, 6]], [[2, 0], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: 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[1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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, 1], [1, 4], [1, 5], [2, 0], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 6], [5, 6], [5, 6], [5, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 6], [5, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 3, 1, 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[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[5, 7], [5, 0], [5, 0], [5, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 7], [5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 6], [5, 6], [5, 0], [5, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 7], [5, 7], [5, 0], [5, 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[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 2], [1, 4], [2, 5]], [[3, 1], [3, 6], [3, 7], [5, 0], [5, 6], [5, 7]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [2, 1], [2, 2], [2, 4]], [[1, 5]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 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4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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[[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 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[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 5], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 1], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 4], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 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[2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 6]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 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1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [1, 2], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], 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4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4], [1, 1], [1, 3], [1, 4], [1, 5]], [[2, 7]], [[3, 0], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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[1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 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[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 4], [1, 5], [3, 0], [3, 4], [3, 5], [3, 6]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [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], [0, 3], [0, 4], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2], [3, 5], [3, 6]], [[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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#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]]}, 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0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 6], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [1, 1], [1, 6], [1, 7], [2, 8], [4, 0], [4, 6], [4, 7], [4, 8]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 2], [1, 3], [1, 6]], [[2, 1], [2, 7], [2, 8], [4, 0], [4, 7], [4, 8], [4, 9]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, 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4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [0, 5], [1, 1], [1, 6], [1, 7], [3, 0], [3, 6], [3, 7]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 1], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [1, 4], [1, 5], [2, 6], [3, 0], [3, 4], [3, 5], [3, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 5]]}, {&#34;patt&#34;: [1, 0], 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7], [2, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 6], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [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], [0, 4]], [[1, 1], [1, 5], [1, 6], [2, 0], [2, 5], [2, 6], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [2, 2], [2, 3], [3, 0], [3, 4], [3, 5], [4, 0], [4, 4], [4, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [2, 5], [3, 6]], [[4, 1], [4, 7], [4, 8], [6, 0], [6, 7], [6, 8]], [[5, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [1, 1], [1, 2], [1, 3]], [[2, 0], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [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;: [[1, 3]]}, {&#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;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, 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&#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], 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&#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, 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2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[1, 1]]}, {&#34;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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4], [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;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 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[2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 5], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 5], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 0], [3, 8]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 0], [3, 8]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 8], [3, 8], [3, 0], [3, 8], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 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[[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 5], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 5], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [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.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], 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&#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], 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5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], 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5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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2], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2], [2, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2], [2, 4], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], 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6], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 0], [2, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 0], [2, 6], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 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[[1, 3], [1, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], 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4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: 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[[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 6], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0], [3, 2], [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;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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}}]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 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2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 2], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 3], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 7], [4, 0], [4, 7], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 7], [4, 0], [4, 7], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 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[4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 7], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 7], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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4], [3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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&#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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6], [3, 6], [3, 4], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], 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3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 2], [4, 0], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2], [4, 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[4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], 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0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 4], [4, 4], [4, 0], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 4], [4, 4], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 4], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 5], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0], [3, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 0], [3, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 0], [3, 7], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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&#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: 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4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], 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&#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#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;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 7], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 7], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [4, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 6], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 6], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 6], [4, 0], [4, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 6], [4, 5], [4, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 6], [4, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 5], [4, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 6], [4, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 6], [4, 6], [4, 6], [4, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 6], [4, 6], [4, 6], [4, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 6], [4, 6], [4, 6], [4, 6]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 0], [4, 0], [4, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 0], [4, 5], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 5], [4, 5], [4, 0], [4, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 6], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 5], [4, 5], [4, 5], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 6], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 5], [4, 0], [4, 5], [4, 0], [4, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 5], [4, 0], [4, 5], [4, 0], [4, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 5], [4, 0], [4, 5], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 6], [4, 0], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 5], [4, 0], [4, 5], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 6], [4, 0], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 5], [4, 5], [4, 0], [4, 0], [4, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 5], [4, 5], [4, 0], [4, 0], [4, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 5], [4, 5], [4, 0], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 0], [4, 5], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[3, 6], [5, 6], [5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 7], [5, 7], [5, 0], [5, 7], [5, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[5, 6], [5, 6], [5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[5, 7], [5, 7], [5, 0], [5, 7], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 1], [2, 2], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [4, 4], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [4, 5], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [4, 0], [4, 4], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 4], [4, 0], [4, 5], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 4], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 5], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 4], [4, 5], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 5], [4, 0], [4, 0], [4, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 4], [4, 5], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 5], [4, 0], [4, 4], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 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2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 5], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 4], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 5], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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&#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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], 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[[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 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4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], 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[1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 4], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], 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[[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 3], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 5], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 5], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 5], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 5], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 0], [3, 4], [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], &#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;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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[2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 4], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 8], [4, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 8], [4, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 8], [4, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 8], [4, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 7], [1, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 7], [1, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 6], [4, 7], [4, 6], [4, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 6], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 6], [4, 7], [4, 0], [4, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 6], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 6], [4, 7], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 6], [4, 0], [4, 7], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 6], [4, 0], [4, 6], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 6], [4, 0], [4, 7], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [4, 0], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 6], [4, 0], [4, 7], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 6], [4, 0], [4, 6], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 6], [4, 0], [4, 7], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 7], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 6], [4, 7], [4, 0], [4, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [2, 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[[0, 1], [0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0], [2, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], 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4, 0, 2, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 0], [3, 6], [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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3], [0, 3], [0, 5]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 0], [4, 6]]}, {&#34;patt&#34;: [3, 4, 0, 1, 2], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 0], [4, 7]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[2, 7], [4, 7], [4, 0], [4, 7], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 6], [4, 6], [4, 0], [4, 6], [4, 0]]}, {&#34;patt&#34;: [3, 4, 0, 2, 1], &#34;pos&#34;: [[4, 7], [4, 7], [4, 0], [4, 7], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 8], [4, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 8], [6, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[6, 0], [6, 0], [6, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 7], [4, 7], [4, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 7], [4, 7], [6, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 8], [4, 8], [4, 8]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 8], [4, 8], [6, 8]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 8], [6, 7], [6, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 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0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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