01234_01243_01324_02314_10234_10243_10324_20134_20143_30142
Counting sequence:
1, 1, 2, 6, 24, 110, 535, 2679, 13632, 70038, 362086, 1879925, 9790321, 51102556, 267207697, 1399121956, 7334090728, 38479958569, 202048017588, 1061585480999, 5580782356867, 29352306811644, 154443538717240, 812934511323978, 4280369698861237, 22544020886977452, 118766139904290850, 625826198179270899, 3298411856636701287, 17387516633090325917, 91673606767699784584, 483413318581426691866, 2549497828634995124173, 13447677321743350956062, 70940120848257971473317, 374269530568050751484506, 1974791434369710079620618, 10420747769150299416228600, 54993886334269129544291082, 290245228771898361374015554, 1531963562606246466604120652, 8086529772187717702929769051, 42687850310730831377593762980, 225357921992719415749187121097, 1189778419114933298349905510013, 6281776242160131492600598587684, 33168091789130709872748897791514, 175137361876364859348945166309368, 924817760334952606439219122129100, 4883727254975320358180154604128256, 25790719059648505968242308410291674, 136204454988326589114829355231563037, 719339755007622115492392806480939412, 3799188482442519211236960253746719793, 20066001644219374924536588819587473798, 105984736993878943611033248671260338499, 559806055445523737402682938764720668566, 2956943247238744627006250403704350619291, 15619204447985350932913617517571059251735, 82505857814355725860425571668104146838722, 435832968254521349416989016478260735202961, 2302312624325048732860710429752355765606560, 12162335035094304161018560363945827945722258, 64250667280077092689166536200770008778455515, 339426636435591944123770029000497961278599608, 1793169767734642662646237007880426572149547288, 9473353422313820684005083668873169886422116442, 50048673477251525780446659719133182917809842750, 264415906712907345429667102749079267181264543029, 1396974421597003663636534412467598897997074668610, 7380655119853626371552247786976262589301022161424, 38994798426575888487984606990187269404378157265837, 206026696902623823980542679747232340955255472226231, 1088541848571377194485344560476009256602333983303417, 5751370439130104620310171058713479189101991506780301, 30387985867274219956432516638948561712219849604793374, 160559737474328429111682232826623488677732848420322724, 848350553658642949942877089440415170547590839017089495, 4482474489120944709443746614600994457763164681257235664, 23684483159066792489810085492851947341431238967236052830, 125144981628599503246951454717312542562660725085708653571, 661250861058189422403695455524305996356427088157893751882, 3493994351486775734877714315032843082068057971300593785303, 18462101823631678440957045276612399260858871568699572589861, 97553520499555025526845254972968941649772960518122408563259, 515474856179090371825157730231839160980831598769178359946569, 2723796385318292458017210908877487161319573355219570008273527, 14392766882480503939703783212638019699300305503057669057970155, 76052997052685978769388960642031105835693710851268396274092382, 401874695454087082843238794346281260541437665882873814360660832, 2123572910127955757266722585314862431747257477142998141376311053, 11221367488048174296015585982004159731384021645874591715866949649, 59296136584291692369180165789521199449674539806076210091415841799, 313335014803364427710787291495944296852961327491119806869701768324, 1655744413937546631531001490589159541156424921405413268744093654680, 8749423289390994673070767893278155863517450221438676461463911130885, 46234614795977602649481068209863540500636388896423176588475109533831, 244318681346575749984524058017732793161395045151603599967972988707041, 1291063659712210285924984023885315829368523052017207557440406649862858, 6822446260119254427274296932500413697388990577436098088131142206117822, 36052386155404599845229076304517939252220488660233472695318341114726158
Specification 1
Strategy pack name: row_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25929/
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[4,x]
F[3,x] = x
F[4,x] = F[1,x]+F[5,x]+F[78,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[7,x,1]
F[7,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[74,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[3,x]*F[9,x,k[0]]
F[9,x,k[0]] = 1/(-1+k[0])*(F[7,x,k[0]]*k[0]-F[7,x,1])
F[10,x,k[0]] = F[11,x,k[0]]*F[3,x]
F[11,x,k[0]] = F[12,x]+F[72,x,k[0]]
F[12,x] = F[13,x,1]
F[13,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[16,x,k[0]]+F[8,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[3,x]
F[15,x,k[0]] = 1/(-1+k[0])*(F[13,x,k[0]]*k[0]-F[13,x,1])
F[16,x,k[0]] = F[17,x,k[0]]*F[18,x,k[0]]
F[17,x,k[0]] = k[0]*x
F[18,x,k[0]] = F[13,x,k[0]]+F[19,x,k[0]]
F[19,x,k[0]] = F[17,x,k[0]]*F[20,x,k[0]]
F[21,x,k[0]] = F[20,x,k[0]]*F[3,x]
F[22,x,k[0]] = F[13,x,k[0]]+F[21,x,k[0]]
F[22,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[16,x,k[0]]+F[23,x,k[0]]+F[71,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]*F[3,x]
F[24,x,k[0]] = 1/(-1+k[0])*(F[25,x,k[0]]*k[0]-F[25,x,1])
F[25,x,k[0]] = F[26,x,k[0]]+F[7,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]*F[3,x]
F[28,x,k[0]] = F[29,x]+F[64,x,k[0]]
F[29,x] = F[30,x]+F[4,x]+F[46,x]
F[30,x] = F[31,x]
F[31,x] = F[3,x]*F[32,x]
F[32,x] = F[33,x]+F[46,x]+F[6,x]+F[63,x]
F[33,x] = F[34,x]
F[34,x] = F[3,x]*F[35,x]
F[35,x] = F[36,x]+F[43,x]
F[36,x] = F[37,x,1]
F[37,x,k[0]] = 1/(-1+k[0])*(F[38,x,k[0]]*k[0]-F[38,x,1])
F[38,x,k[0]] = F[39,x,k[0]]+F[46,x]+F[62,x,k[0]]+F[7,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[3,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]+F[43,x]
F[42,x,k[0]] = 1/(-1+k[0])*(F[38,x,k[0]]*k[0]-F[38,x,1])
F[43,x] = F[44,x]
F[44,x] = -F[45,x]+F[32,x]
F[45,x] = F[28,x,1]
F[46,x] = F[3,x]*F[47,x]
F[47,x] = F[29,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[3,x]*F[50,x]*F[53,x]
F[50,x] = F[1,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[3,x]*F[50,x]
F[53,x] = F[54,x]+F[59,x]
F[54,x] = -F[55,x]+F[29,x]
F[55,x] = F[56,x]
F[56,x] = F[3,x]*F[57,x]
F[57,x] = F[55,x]+F[58,x]
F[58,x] = F[50,x]*F[53,x]
F[59,x] = F[60,x]
F[60,x] = F[3,x]*F[61,x]
F[61,x] = 1/F[3,x]*F[44,x]
F[62,x,k[0]] = F[28,x,k[0]]*F[3,x]
F[63,x] = F[3,x]*F[45,x]
F[65,x,k[0]] = F[64,x,k[0]]+F[68,x]
F[65,x,k[0]] = F[66,x,k[0]]+F[7,x,k[0]]
F[66,x,k[0]] = F[3,x]*F[67,x,k[0]]
F[67,x,k[0]] = 1/(-1+k[0])*(F[65,x,k[0]]*k[0]-F[65,x,1])
F[68,x] = F[4,x]+F[69,x]
F[69,x] = F[3,x]*F[70,x]
F[70,x] = F[65,x,1]
F[71,x,k[0]] = F[13,x,k[0]]*F[3,x]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[17,x,k[0]]*F[47,x]
F[74,x,k[0]] = F[17,x,k[0]]*F[75,x,k[0]]
F[75,x,k[0]] = F[7,x,k[0]]+F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[17,x,k[0]]*F[28,x,k[0]]
F[78,x] = F[12,x]*F[3,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_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{78}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x , 1\right)
F_{7}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y\right)+F_{74}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = -\frac{-F_{7}\! \left(x , y\right) y +F_{7}\! \left(x , 1\right)}{-1+y}
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{72}\! \left(x , y\right)
F_{12}\! \left(x \right) = F_{13}\! \left(x , 1\right)
F_{13}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)+F_{16}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{15}\! \left(x , y\right) = -\frac{-F_{13}\! \left(x , y\right) y +F_{13}\! \left(x , 1\right)}{-1+y}
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{18}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = y x
F_{18}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{22}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)+F_{16}\! \left(x , y\right)+F_{23}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{24}\! \left(x , y\right) = -\frac{-F_{25}\! \left(x , y\right) y +F_{25}\! \left(x , 1\right)}{-1+y}
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{64}\! \left(x , y\right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{4}\! \left(x \right)+F_{46}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{3}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{46}\! \left(x \right)+F_{6}\! \left(x \right)+F_{63}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{3}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{43}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x , 1\right)
F_{37}\! \left(x , y\right) = -\frac{-y F_{38}\! \left(x , y\right)+F_{38}\! \left(x , 1\right)}{-1+y}
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{46}\! \left(x \right)+F_{62}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{42}\! \left(x , y\right) = -\frac{-y F_{38}\! \left(x , y\right)+F_{38}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{32}\! \left(x \right)
F_{45}\! \left(x \right) = F_{28}\! \left(x , 1\right)
F_{46}\! \left(x \right) = F_{3}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{29}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{3}\! \left(x \right) F_{50}\! \left(x \right) F_{53}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{3}\! \left(x \right) F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{59}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{29}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{3}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{55}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{50}\! \left(x \right) F_{53}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{3}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{62}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{63}\! \left(x \right) = F_{3}\! \left(x \right) F_{45}\! \left(x \right)
F_{65}\! \left(x , y\right) = F_{64}\! \left(x , y\right)+F_{68}\! \left(x \right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = -\frac{-y F_{65}\! \left(x , y\right)+F_{65}\! \left(x , 1\right)}{-1+y}
F_{68}\! \left(x \right) = F_{4}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{3}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{65}\! \left(x , 1\right)
F_{71}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{3}\! \left(x \right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{74}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{7}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{3}\! \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)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_5(x) + F_78(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_7(x, 1))
Eq(F_7(x, k_0), F_1(x) + F_10(x, k_0) + F_74(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_3(x)*F_9(x, k_0))
Eq(F_9(x, k_0), (k_0*F_7(x, k_0) - F_7(x, 1))/(k_0 - 1))
Eq(F_10(x, k_0), F_11(x, k_0)*F_3(x))
Eq(F_11(x, k_0), F_12(x) + F_72(x, k_0))
Eq(F_12(x), F_13(x, 1))
Eq(F_13(x, k_0), F_1(x) + F_14(x, k_0) + F_16(x, k_0) + F_8(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_3(x))
Eq(F_15(x, k_0), (k_0*F_13(x, k_0) - F_13(x, 1))/(k_0 - 1))
Eq(F_16(x, k_0), F_17(x, k_0)*F_18(x, k_0))
Eq(F_17(x, k_0), k_0*x)
Eq(F_18(x, k_0), F_13(x, k_0) + F_19(x, k_0))
Eq(F_19(x, k_0), F_17(x, k_0)*F_20(x, k_0))
Eq(F_21(x, k_0), F_20(x, k_0)*F_3(x))
Eq(F_22(x, k_0), F_13(x, k_0) + F_21(x, k_0))
Eq(F_22(x, k_0), F_1(x) + F_14(x, k_0) + F_16(x, k_0) + F_23(x, k_0) + F_71(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0)*F_3(x))
Eq(F_24(x, k_0), (k_0*F_25(x, k_0) - F_25(x, 1))/(k_0 - 1))
Eq(F_25(x, k_0), F_26(x, k_0) + F_7(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0)*F_3(x))
Eq(F_28(x, k_0), F_29(x) + F_64(x, k_0))
Eq(F_29(x), F_30(x) + F_4(x) + F_46(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_3(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_46(x) + F_6(x) + F_63(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_3(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_43(x))
Eq(F_36(x), F_37(x, 1))
Eq(F_37(x, k_0), (-k_0*F_38(x, k_0) + F_38(x, 1))/(1 - k_0))
Eq(F_38(x, k_0), F_39(x, k_0) + F_46(x) + F_62(x, k_0) + F_7(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_3(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0) + F_43(x))
Eq(F_42(x, k_0), (k_0*F_38(x, k_0) - F_38(x, 1))/(k_0 - 1))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_32(x) - F_45(x))
Eq(F_45(x), F_28(x, 1))
Eq(F_46(x), F_3(x)*F_47(x))
Eq(F_47(x), F_29(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_3(x)*F_50(x)*F_53(x))
Eq(F_50(x), F_1(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_3(x)*F_50(x))
Eq(F_53(x), F_54(x) + F_59(x))
Eq(F_54(x), F_29(x) - F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_3(x)*F_57(x))
Eq(F_57(x), F_55(x) + F_58(x))
Eq(F_58(x), F_50(x)*F_53(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_3(x)*F_61(x))
Eq(F_61(x), F_44(x)/F_3(x))
Eq(F_62(x, k_0), F_28(x, k_0)*F_3(x))
Eq(F_63(x), F_3(x)*F_45(x))
Eq(F_65(x, k_0), F_64(x, k_0) + F_68(x))
Eq(F_65(x, k_0), F_66(x, k_0) + F_7(x, k_0))
Eq(F_66(x, k_0), F_3(x)*F_67(x, k_0))
Eq(F_67(x, k_0), (k_0*F_65(x, k_0) - F_65(x, 1))/(k_0 - 1))
Eq(F_68(x), F_4(x) + F_69(x))
Eq(F_69(x), F_3(x)*F_70(x))
Eq(F_70(x), F_65(x, 1))
Eq(F_71(x, k_0), F_13(x, k_0)*F_3(x))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_17(x, k_0)*F_47(x))
Eq(F_74(x, k_0), F_17(x, k_0)*F_75(x, k_0))
Eq(F_75(x, k_0), F_7(x, k_0) + F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_17(x, k_0)*F_28(x, k_0))
Eq(F_78(x), F_12(x)*F_3(x))
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, 3, 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]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "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], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 2], [1, 3]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 4], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 3], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 1], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 3], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 4], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 3]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 1], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [1, 3], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 3], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 3], [1, 0], [1, 3]]}, {"patt": [2, 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