01234_01243_01324_10234_10243_10324_12034_12043_12304_13024_13204
Counting sequence:
1, 1, 2, 6, 24, 109, 526, 2629, 13419, 69409, 362240, 1902494, 10038341, 53151675, 282190446, 1501374280, 8001530577, 42702748272, 228155294578, 1220151860811, 6530399948802, 34974799973021, 187420579892087, 1004825568984308, 5389473413918390, 28917450159074545, 155207002597156678, 833264902247133695, 4474666949573492127, 24034312503361990321, 129117564005334845031, 693764889600200758381, 3728246823019529204729, 20038045349122806390871, 107710566136993977408880, 579039464653565873785294, 3113151195242933185937686, 16739030511979793567439340, 90010826549854032990235521, 484050080204170834119518041, 2603238974540248418044733603, 14001139551082433322769880478, 75307116978683747518200357473, 405069809891287112601219066018, 2178929037975747639459650253301, 11721251348908492366883263643450, 63055219920774956843456616172457, 339221150081195128406801446015880, 1824981138607086855255579639071495, 9818526217329758529669151321610559, 52825751293654501865969052959403711, 284220629230177984279488687088311121, 1529238458361217190533586217504433852, 8228179664061493298871264290913870990, 44273164663268343081612473854304446156, 238223707735950715027344533355706860452, 1281847693972133034405905231582472311637, 6897542368245096558116607586420162791252, 37115758954359014882127790062458470561130, 199722911116144147375339131958115460566697, 1074737974573283607151299122354734342285867, 5783384819054935882326282333825628512253373, 31121894859188737556529882006900581726893701, 167476585622361514473953897549600074044795868, 901251497334171389682736680393933542394797058, 4849996937392947887230221013908192427628144888, 26099984210465114052149964010725658230127786811, 140456586669883083108874863626710872805475805370, 755869546946775497461269534722545422158748124117, 4067750089632275617733820890472129990770898643453, 21890928012645656916913149010651236216938941476366, 117808440956229858898771773301131157989209640153697, 634002273185447168834709060084279959519261524195489, 3411986052845048772930339919249421862408501692138631, 18362236269073139809570908670933878831590902278362237, 98820184970787292703612703897514966374041935022299616, 531823354926677600913465509655722854146812169723140797, 2862138809144152280114554527115723536499476588304890713, 15403358522528751594867344445614131080998558744535200651, 82897514028908008312439823051485101458486889005856254547, 446137628873870508946739901258499703940589170648067390024, 2401028897637799212535173009079806708596125057241600140777, 12921919427790915010447583195417823512410750125317087061179, 69543686679273111591163248073070111755489550677596230519987, 374273747340610348969806566735380576831539385869600515620356, 2014289711852329964868447985272404930756232960510762005107818, 10840650931211156557111795338632751269429289024370848623331487, 58343111930981037238979327338667215083144710407394279609377994, 313996331367399156401881511248166491918400064830679678810735815, 1689897120691188205320923800510349559058419952780267851760146152, 9094872663413407468147050752467921660542667506289192515703867215, 48947848180968409369283763678690304370387458598764549184626431853, 263433603403295068871830224188500596743985932299076464355506760400, 1417781456827238409352286789849645406133848573209454977312880044192, 7630410972722170097654839552453706045204836567105805199824342071696, 41066439863519071868152515312503441265840084048419257694213569253517, 221017487591897986079192301247020032944119463410982196726682668330258, 1189506041109020388952634785298618944821048925395889880355951852236346, 6401873256981177035591231627514976131592958751247942564188611862516253, 34454652435296514280194201710088646210183754331355177844568939701118015, 185433857999654018308336287387592879036571262920734514314368879960618378
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25273/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[50,x]
F[4,x] = F[1,x]+F[27,x]+F[5,x]
F[5,x] = F[50,x]*F[6,x]
F[6,x] = F[1,x]+F[7,x]+F[72,x]+F[78,x]
F[7,x] = F[50,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = (F[10,x,k[0]]*k[0]-F[10,x,1])/(-1+k[0])
F[10,x,k[0]] = F[11,x,k[0]]+F[4,x]
F[11,x,k[0]] = F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[64,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]+F[71,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]+F[19,x]
F[15,x,k[0]] = F[10,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]*F[50,x]
F[17,x,k[0]] = F[18,x,k[0]]+F[19,x]
F[18,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[19,x] = -F[70,x]+F[20,x]
F[20,x] = -F[43,x]+F[21,x]
F[21,x] = 1/F[50,x]*F[22,x]
F[22,x] = F[23,x]
F[23,x] = 1/F[50,x]*F[24,x]
F[24,x] = -F[26,x]-F[27,x]+F[25,x]
F[25,x] = -F[0,x]+F[4,x]
F[26,x] = 0
F[27,x] = F[28,x]*F[50,x]
F[28,x] = F[1,x]+F[29,x]+F[65,x]+F[7,x]
F[29,x] = F[30,x]*F[50,x]
F[30,x] = F[31,x,1]
F[31,x,k[0]] = 1/(-1+k[0])*(F[32,x,k[0]]*k[0]-F[32,x,1])
F[33,x,k[0]] = 1/(-1+k[0])*(F[32,x,k[0]]*k[0]-F[32,x,1])
F[33,x,k[0]] = F[28,x]+F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]*F[64,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[62,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]+F[54,x]
F[38,x,k[0]] = 1/(-1+k[0])*(F[39,x,k[0]]*k[0]-F[39,x,1])
F[39,x,k[0]] = F[32,x,k[0]]+F[40,x,k[0]]+F[52,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]*F[50,x]
F[42,x,k[0]] = F[17,x,k[0]]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x,1]
F[45,x,k[0]] = k[0]*F[46,x,k[0]]
F[46,x,k[0]] = F[26,x]+F[47,x,k[0]]+F[51,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]*F[50,x]
F[49,x,k[0]] = 1/(-1+k[0])*(F[46,x,k[0]]*k[0]-F[46,x,1])
F[50,x] = x
F[51,x,k[0]] = F[15,x,k[0]]*F[50,x]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[37,x,k[0]]*F[50,x]
F[54,x] = F[55,x,1]
F[55,x,k[0]] = k[0]*F[56,x,k[0]]
F[56,x,k[0]] = F[26,x]+F[57,x,k[0]]+F[58,x,k[0]]+F[61,x,k[0]]
F[57,x,k[0]] = F[48,x,k[0]]
F[58,x,k[0]] = F[59,x,k[0]]
F[59,x,k[0]] = F[50,x]*F[60,x,k[0]]
F[60,x,k[0]] = 1/(-1+k[0])*(F[56,x,k[0]]*k[0]-F[56,x,1])
F[61,x,k[0]] = F[39,x,k[0]]*F[50,x]
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = k[0]*F[60,x,k[0]]
F[64,x,k[0]] = k[0]*x
F[65,x] = F[50,x]*F[66,x]
F[66,x] = F[28,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[50,x]*F[69,x]
F[69,x] = F[39,x,1]
F[70,x] = F[15,x,1]
F[71,x,k[0]] = F[45,x,k[0]]
F[72,x] = F[50,x]*F[73,x]
F[73,x] = F[1,x]+F[29,x]+F[65,x]+F[74,x]+F[80,x]
F[74,x] = -F[1,x]-F[72,x]-F[78,x]-F[79,x]+F[75,x]
F[75,x] = F[6,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[50,x]*F[70,x]
F[78,x] = F[50,x]*F[75,x]
F[79,x] = F[50,x]*F[6,x]
F[80,x] = F[28,x]*F[50,x]
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_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{50}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)+F_{72}\! \left(x \right)+F_{78}\! \left(x \right)
F_{7}\! \left(x \right) = F_{50}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = -\frac{-F_{10}\! \left(x , y\right) y +F_{10}\! \left(x , 1\right)}{-1+y}
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{19}\! \left(x \right)
F_{15}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{19}\! \left(x \right)
F_{18}\! \left(x , y\right) = -\frac{-F_{15}\! \left(x , y\right) y +F_{15}\! \left(x , 1\right)}{-1+y}
F_{19}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{24}\! \left(x \right) = -F_{26}\! \left(x \right)-F_{27}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{50}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)+F_{65}\! \left(x \right)+F_{7}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{50}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{31}\! \left(x , y\right) = -\frac{-y F_{32}\! \left(x , y\right)+F_{32}\! \left(x , 1\right)}{-1+y}
F_{33}\! \left(x , y\right) = -\frac{-y F_{32}\! \left(x , y\right)+F_{32}\! \left(x , 1\right)}{-1+y}
F_{33}\! \left(x , y\right) = F_{28}\! \left(x \right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{54}\! \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_{32}\! \left(x , y\right)+F_{40}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{42}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x , 1\right)
F_{45}\! \left(x , y\right) = y F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{47}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{49}\! \left(x , y\right) = -\frac{-y F_{46}\! \left(x , y\right)+F_{46}\! \left(x , 1\right)}{-1+y}
F_{50}\! \left(x \right) = x
F_{51}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x , 1\right)
F_{55}\! \left(x , y\right) = y F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{57}\! \left(x , y\right)+F_{58}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{50}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = -\frac{-y F_{56}\! \left(x , y\right)+F_{56}\! \left(x , 1\right)}{-1+y}
F_{61}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{50}\! \left(x \right)
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = y F_{60}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = y x
F_{65}\! \left(x \right) = F_{50}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{28}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{50}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{39}\! \left(x , 1\right)
F_{70}\! \left(x \right) = F_{15}\! \left(x , 1\right)
F_{71}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{72}\! \left(x \right) = F_{50}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)+F_{65}\! \left(x \right)+F_{74}\! \left(x \right)+F_{80}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{72}\! \left(x \right)-F_{78}\! \left(x \right)-F_{79}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{6}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{50}\! \left(x \right) F_{70}\! \left(x \right)
F_{78}\! \left(x \right) = F_{50}\! \left(x \right) F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{50}\! \left(x \right) F_{6}\! \left(x \right)
F_{80}\! \left(x \right) = F_{28}\! \left(x \right) F_{50}\! \left(x \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_3(x))
Eq(F_3(x), F_4(x)*F_50(x))
Eq(F_4(x), F_1(x) + F_27(x) + F_5(x))
Eq(F_5(x), F_50(x)*F_6(x))
Eq(F_6(x), F_1(x) + F_7(x) + F_72(x) + F_78(x))
Eq(F_7(x), F_50(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), (-k_0*F_10(x, k_0) + F_10(x, 1))/(1 - k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_4(x))
Eq(F_11(x, k_0), F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_64(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0) + F_71(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0) + F_19(x))
Eq(F_15(x, k_0), F_10(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0)*F_50(x))
Eq(F_17(x, k_0), F_18(x, k_0) + F_19(x))
Eq(F_18(x, k_0), (k_0*F_15(x, k_0) - F_15(x, 1))/(k_0 - 1))
Eq(F_19(x), F_20(x) - F_70(x))
Eq(F_20(x), F_21(x) - F_43(x))
Eq(F_21(x), F_22(x)/F_50(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)/F_50(x))
Eq(F_24(x), F_25(x) - F_26(x) - F_27(x))
Eq(F_25(x), -F_0(x) + F_4(x))
Eq(F_26(x), 0)
Eq(F_27(x), F_28(x)*F_50(x))
Eq(F_28(x), F_1(x) + F_29(x) + F_65(x) + F_7(x))
Eq(F_29(x), F_30(x)*F_50(x))
Eq(F_30(x), F_31(x, 1))
Eq(F_31(x, k_0), (-k_0*F_32(x, k_0) + F_32(x, 1))/(1 - k_0))
Eq(F_33(x, k_0), (k_0*F_32(x, k_0) - F_32(x, 1))/(k_0 - 1))
Eq(F_33(x, k_0), F_28(x) + F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0)*F_64(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_62(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0) + F_54(x))
Eq(F_38(x, k_0), (k_0*F_39(x, k_0) - F_39(x, 1))/(k_0 - 1))
Eq(F_39(x, k_0), F_32(x, k_0) + F_40(x, k_0) + F_52(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0)*F_50(x))
Eq(F_42(x, k_0), F_17(x, k_0) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x, 1))
Eq(F_45(x, k_0), k_0*F_46(x, k_0))
Eq(F_46(x, k_0), F_26(x) + F_47(x, k_0) + F_51(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_49(x, k_0)*F_50(x))
Eq(F_49(x, k_0), (k_0*F_46(x, k_0) - F_46(x, 1))/(k_0 - 1))
Eq(F_50(x), x)
Eq(F_51(x, k_0), F_15(x, k_0)*F_50(x))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_37(x, k_0)*F_50(x))
Eq(F_54(x), F_55(x, 1))
Eq(F_55(x, k_0), k_0*F_56(x, k_0))
Eq(F_56(x, k_0), F_26(x) + F_57(x, k_0) + F_58(x, k_0) + F_61(x, k_0))
Eq(F_57(x, k_0), F_48(x, k_0))
Eq(F_58(x, k_0), F_59(x, k_0))
Eq(F_59(x, k_0), F_50(x)*F_60(x, k_0))
Eq(F_60(x, k_0), (k_0*F_56(x, k_0) - F_56(x, 1))/(k_0 - 1))
Eq(F_61(x, k_0), F_39(x, k_0)*F_50(x))
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), k_0*F_60(x, k_0))
Eq(F_64(x, k_0), k_0*x)
Eq(F_65(x), F_50(x)*F_66(x))
Eq(F_66(x), F_28(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_50(x)*F_69(x))
Eq(F_69(x), F_39(x, 1))
Eq(F_70(x), F_15(x, 1))
Eq(F_71(x, k_0), F_45(x, k_0))
Eq(F_72(x), F_50(x)*F_73(x))
Eq(F_73(x), F_1(x) + F_29(x) + F_65(x) + F_74(x) + F_80(x))
Eq(F_74(x), -F_1(x) - F_72(x) + F_75(x) - F_78(x) - F_79(x))
Eq(F_75(x), F_6(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_50(x)*F_70(x))
Eq(F_78(x), F_50(x)*F_75(x))
Eq(F_79(x), F_50(x)*F_6(x))
Eq(F_80(x), F_28(x)*F_50(x))
Pack JSON:
{"name": "point_and_row_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_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}], [{"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": [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]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0, 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, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"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": [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, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"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": [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]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"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": [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, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}]}}, "idx": 1}, {"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, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"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": [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, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 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