01234_01243_01324_02134_02143_02314_03124_03214_10234_10243_10324
Counting sequence:
1, 1, 2, 6, 24, 109, 532, 2727, 14486, 78946, 438680, 2475125, 14139546, 81608637, 475113288, 2786579729, 16448482386, 97636121355, 582423712466, 3489583193421, 20990090581944, 126704457071856, 767293090776566, 4660123042074472, 28378631277609054, 173240070057625834, 1059947584015450884, 6498685058654802922, 39921402069734256660, 245678091209988384108, 1514448909907916698844, 9350241468258831741403, 57813337398695141193972, 357957343027997950306151, 2219203093223892639978520, 13775043392387932430175222, 85603084880706252583738938, 532548505983315587734292683, 3316478761129379749496988598, 20673808776676611349362212809, 128993455120835962146340257312, 805562091975073202011015174920, 5034962200219912631813372978914, 31495044672781752520121202250585, 197161088620066313518729666043360, 1235146179931740177428981299490433, 7743189093089923378730817728411806, 48574998064276994028525828063880553, 304919374792020606044989302501439564, 1915248704741426958669767395479532202, 12037119544588141050038118714418052026, 75694992888940668486959983551002317057, 476265846359738365041944859205129826400, 2998199278860743039164292391918671256775, 18883908295164925288493215778280705404856, 118996893141582317991345221425199615517552, 750212273658121630243277363888561511891978, 4731843338150996449051986807034065122663889, 29858460944900762698912546000235549457884094, 188490258507459796936149225550149929269323795, 1190388487069381392130857891474911466942663102, 7520747836311075918670161120641626316006579398, 47533556027062334467600998861860329240527251114, 300539308035989292673940170675419343140931555646, 1900898528281020329497710391225100827800594261900, 12027309056412876414839095886975927052730533693297, 76124651481967830112086686207667616887157770121576, 481975657416033819857164338344195070598184876609574, 3052556104957886699716640486698308844944534812424944, 19339131787383951019549383560494354104805228874930871, 122557878192174831300477763988847589634215019919093148, 776913687705226828705140776258859266367753689393206330, 4926381941762533051685256293584832239992995184913752044, 31246673248417806548253240945446114338147793004437404699, 198242451893935798267719503478151961028111111091218315260, 1258066507512056246219755868593296854901283408967910916673, 7985858778036292503273850338776240955555511816846514263932, 50704659589692944802279676600656525071780529652204092334352, 322017580242807471135022544318175753441737263440967736149778, 2045568878566256341189919082474270183190155192098195084093999, 12997172890424304195366645441973756558006478852623111798485510, 82600274339366839312249363111114474927452104976998699053483061, 525060709208782732848771952284443712913429355343117223132683954, 3338341079111841260052949747684393926408376455722565401939888778, 21229650545676126910878331733253093950773751870858824513142874192, 135034211640368155188630025563768663430273056480880691140331882245, 859075947285002098741380395686371968110306000068780625377646861702, 5466433946496274226820173865025164505883795593763449643384215364253, 34790409091290877335119620221993109766444458482486168630455778433716, 221460361052987366401745089041020687645563941668050494518906434885532, 1409976004423788995392063421986009910779445711202530175778847035242504, 8978524275289726276059639865137786913874289594786507589681080216744977, 57183936633774784666986690066729643901918776166306049713844336678793504, 364264935859200831369044598754482725403252361246366238859790044885242153, 2320776666176413471937790504369536025426670955719117256103748101559630924, 14788375691878363517252027389319762992229568980315199241558635831387011767, 94249113636462350507698629203310935707275750129039495929194463254475779878, 600761816955929919067357786004245363969685088023912413093039295768035470584, 3829959975456270553620836660524597662194620562853131736790600935085579708376, 24420338189148690723067926152393050133689215743910764101085896664493721592301, 155730377867115918867326227216121133086277178622325403864568669962688385209170
Specification 1
Strategy pack name: row_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24636/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[28,x]*F[3,x]
F[3,x] = F[0,x]+F[4,x]
F[4,x] = F[28,x]*F[5,x]
F[5,x] = F[29,x]+F[3,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[28,x]*F[8,x]
F[8,x] = 1/F[28,x]*F[9,x]
F[9,x] = F[10,x]
F[10,x] = -F[3,x]+F[11,x]
F[11,x] = F[12,x,1]
F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[61,x,k[0]]+F[71,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[58,x,k[0]]
F[14,x,k[0]] = F[12,x,k[0]]+F[15,x,k[0]]
F[15,x,k[0]] = F[16,x,k[0]]*F[58,x,k[0]]
F[16,x,k[0]] = F[12,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]*F[28,x]
F[18,x,k[0]] = (F[19,x,k[0]]*k[0]-F[19,x,1])/(-1+k[0])
F[19,x,k[0]] = F[20,x,k[0]]+F[63,x,k[0]]+F[68,x,k[0]]
F[20,x,k[0]] = F[1,x]+F[21,x,k[0]]+F[59,x,k[0]]+F[61,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]*F[58,x,k[0]]
F[22,x,k[0]] = F[20,x,k[0]]+F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]*F[58,x,k[0]]
F[24,x,k[0]] = F[25,x]+F[57,x,k[0]]
F[25,x] = F[26,x]+F[29,x]+F[3,x]
F[26,x] = F[27,x]*F[28,x]
F[27,x] = F[16,x,1]
F[28,x] = x
F[29,x] = F[30,x]
F[30,x] = F[28,x]*F[31,x]
F[31,x] = F[32,x,1]
F[32,x,k[0]] = F[20,x,k[0]]+F[33,x,k[0]]+F[34,x,k[0]]+F[49,x,k[0]]
F[33,x,k[0]] = F[24,x,k[0]]*F[28,x]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[28,x]*F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[45,x]
F[37,x,k[0]] = F[38,x,k[0]]+F[43,x]
F[38,x,k[0]] = (F[39,x,k[0]]*k[0]-F[39,x,1])/(-1+k[0])
F[39,x,k[0]] = F[12,x,k[0]]+F[40,x,k[0]]+F[41,x,k[0]]
F[40,x,k[0]] = F[16,x,k[0]]*F[28,x]
F[41,x,k[0]] = F[28,x]*F[42,x,k[0]]
F[42,x,k[0]] = (F[32,x,k[0]]*k[0]-F[32,x,1])/(-1+k[0])
F[43,x] = -F[44,x]+F[8,x]
F[44,x] = F[39,x,1]
F[45,x] = F[46,x]
F[46,x] = -F[47,x]+F[8,x]
F[47,x] = F[27,x]+F[48,x]
F[48,x] = F[43,x]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[28,x]*F[51,x,k[0]]
F[51,x,k[0]] = F[42,x,k[0]]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = 1/F[28,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[26,x]-F[56,x]+F[48,x]
F[56,x] = 0
F[19,x,k[0]] = F[5,x]+F[57,x,k[0]]
F[58,x,k[0]] = k[0]*x
F[59,x,k[0]] = F[28,x]*F[60,x,k[0]]
F[60,x,k[0]] = (F[12,x,k[0]]*k[0]-F[12,x,1])/(-1+k[0])
F[61,x,k[0]] = F[28,x]*F[62,x,k[0]]
F[62,x,k[0]] = (F[20,x,k[0]]*k[0]-F[20,x,1])/(-1+k[0])
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[28,x]*F[65,x,k[0]]
F[65,x,k[0]] = F[46,x]+F[66,x,k[0]]
F[66,x,k[0]] = F[48,x]+F[67,x,k[0]]
F[67,x,k[0]] = (F[16,x,k[0]]*k[0]-F[16,x,1])/(-1+k[0])
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[28,x]*F[70,x,k[0]]
F[70,x,k[0]] = F[18,x,k[0]]+F[53,x]
F[71,x,k[0]] = F[28,x]*F[72,x,k[0]]
F[72,x,k[0]] = F[11,x]+F[73,x,k[0]]
F[73,x,k[0]] = F[27,x]*F[58,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{28}\! \left(x \right) F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{28}\! \left(x \right) F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{29}\! \left(x \right)+F_{3}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{28}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = \frac{F_{9}\! \left(x \right)}{F_{28}\! \left(x \right)}
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = -F_{3}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x , 1\right)
F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{61}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{15}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{28}\! \left(x \right)
F_{18}\! \left(x , y\right) = -\frac{-F_{19}\! \left(x , y\right) y +F_{19}\! \left(x , 1\right)}{-1+y}
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{21}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)+F_{3}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{16}\! \left(x , 1\right)
F_{28}\! \left(x \right) = x
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x , 1\right)
F_{32}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{33}\! \left(x , y\right)+F_{34}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{28}\! \left(x \right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{45}\! \left(x \right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{38}\! \left(x , y\right) = -\frac{-F_{39}\! \left(x , y\right) y +F_{39}\! \left(x , 1\right)}{-1+y}
F_{39}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{40}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{28}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = -\frac{-F_{32}\! \left(x , y\right) y +F_{32}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{8}\! \left(x \right)
F_{44}\! \left(x \right) = F_{39}\! \left(x , 1\right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{8}\! \left(x \right)
F_{47}\! \left(x \right) = F_{27}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{43}\! \left(x \right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{28}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{26}\! \left(x \right)-F_{56}\! \left(x \right)+F_{48}\! \left(x \right)
F_{56}\! \left(x \right) = 0
F_{19}\! \left(x , y\right) = F_{5}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = y x
F_{59}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = -\frac{-F_{12}\! \left(x , y\right) y +F_{12}\! \left(x , 1\right)}{-1+y}
F_{61}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = -\frac{-F_{20}\! \left(x , y\right) y +F_{20}\! \left(x , 1\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{46}\! \left(x \right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{48}\! \left(x \right)+F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = -\frac{-y F_{16}\! \left(x , y\right)+F_{16}\! \left(x , 1\right)}{-1+y}
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{53}\! \left(x \right)
F_{71}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{11}\! \left(x \right)+F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{27}\! \left(x \right) F_{58}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_28(x)*F_3(x))
Eq(F_3(x), F_0(x) + F_4(x))
Eq(F_4(x), F_28(x)*F_5(x))
Eq(F_5(x), F_29(x) + F_3(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_28(x)*F_8(x))
Eq(F_8(x), F_9(x)/F_28(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x) - F_3(x))
Eq(F_11(x), F_12(x, 1))
Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_61(x, k_0) + F_71(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_58(x, k_0))
Eq(F_14(x, k_0), F_12(x, k_0) + F_15(x, k_0))
Eq(F_15(x, k_0), F_16(x, k_0)*F_58(x, k_0))
Eq(F_16(x, k_0), F_12(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0)*F_28(x))
Eq(F_18(x, k_0), (-k_0*F_19(x, k_0) + F_19(x, 1))/(1 - k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_63(x, k_0) + F_68(x, k_0))
Eq(F_20(x, k_0), F_1(x) + F_21(x, k_0) + F_59(x, k_0) + F_61(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0)*F_58(x, k_0))
Eq(F_22(x, k_0), F_20(x, k_0) + F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0)*F_58(x, k_0))
Eq(F_24(x, k_0), F_25(x) + F_57(x, k_0))
Eq(F_25(x), F_26(x) + F_29(x) + F_3(x))
Eq(F_26(x), F_27(x)*F_28(x))
Eq(F_27(x), F_16(x, 1))
Eq(F_28(x), x)
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_28(x)*F_31(x))
Eq(F_31(x), F_32(x, 1))
Eq(F_32(x, k_0), F_20(x, k_0) + F_33(x, k_0) + F_34(x, k_0) + F_49(x, k_0))
Eq(F_33(x, k_0), F_24(x, k_0)*F_28(x))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_28(x)*F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_45(x))
Eq(F_37(x, k_0), F_38(x, k_0) + F_43(x))
Eq(F_38(x, k_0), (-k_0*F_39(x, k_0) + F_39(x, 1))/(1 - k_0))
Eq(F_39(x, k_0), F_12(x, k_0) + F_40(x, k_0) + F_41(x, k_0))
Eq(F_40(x, k_0), F_16(x, k_0)*F_28(x))
Eq(F_41(x, k_0), F_28(x)*F_42(x, k_0))
Eq(F_42(x, k_0), (-k_0*F_32(x, k_0) + F_32(x, 1))/(1 - k_0))
Eq(F_43(x), -F_44(x) + F_8(x))
Eq(F_44(x), F_39(x, 1))
Eq(F_45(x), F_46(x))
Eq(F_46(x), -F_47(x) + F_8(x))
Eq(F_47(x), F_27(x) + F_48(x))
Eq(F_48(x), F_43(x))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_28(x)*F_51(x, k_0))
Eq(F_51(x, k_0), F_42(x, k_0) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_54(x)/F_28(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_26(x) + F_48(x) - F_56(x))
Eq(F_56(x), 0)
Eq(F_19(x, k_0), F_5(x) + F_57(x, k_0))
Eq(F_58(x, k_0), k_0*x)
Eq(F_59(x, k_0), F_28(x)*F_60(x, k_0))
Eq(F_60(x, k_0), (-k_0*F_12(x, k_0) + F_12(x, 1))/(1 - k_0))
Eq(F_61(x, k_0), F_28(x)*F_62(x, k_0))
Eq(F_62(x, k_0), (-k_0*F_20(x, k_0) + F_20(x, 1))/(1 - k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_28(x)*F_65(x, k_0))
Eq(F_65(x, k_0), F_46(x) + F_66(x, k_0))
Eq(F_66(x, k_0), F_48(x) + F_67(x, k_0))
Eq(F_67(x, k_0), (-k_0*F_16(x, k_0) + F_16(x, 1))/(1 - k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_28(x)*F_70(x, k_0))
Eq(F_70(x, k_0), F_18(x, k_0) + F_53(x))
Eq(F_71(x, k_0), F_28(x)*F_72(x, k_0))
Eq(F_72(x, k_0), F_11(x) + F_73(x, k_0))
Eq(F_73(x, k_0), F_27(x)*F_58(x, k_0))
Pack JSON:
{"name": "row_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 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