{[ [[[1, 25]], 1/441851117127598080000], [[[2, 25]], 1/441851117127598080000], [[[1, 1], [2, 24]], 59/147283705709199360000], [[[1, 2], [2, 23]], 551/18410463213649920000], [[[1, 3], [2, 22]], 68711/55231389640949760000], [[[1, 4], [2, 21]], 1412041/44185111712759808000], [[[1, 5], [2, 20]], 23593513/44185111712759808000], [[[1, 5], [4, 10]], 1/19327352832], [[[1, 6], [2, 19]], 329698603/55231389640949760000], [[[1, 7], [2, 18]], 836971259/18410463213649920000], [[[1, 8], [2, 17]], 35244760597/147283705709199360000], [[[1, 9], [2, 16]], 389946471599/441851117127598080000], [[[1, 9], [4, 8]], 97/3478923509760], [[[1, 9], [5, 4]], 1/480000], [[[1, 9], [8, 4]], 1/1509949440], [[[1, 10], [2, 15]], 63828476741/27615694820474880000], [[[1, 11], [2, 14]], 120221653567/27615694820474880000], [[[1, 11], [3, 7]], 1/26873856], [[[1, 12], [2, 13]], 94012616749/15780397040271360000], [[[1, 13], [2, 12]], 94012616749/15780397040271360000], [[[1, 13], [3, 6]], 59/4299816960], [[[1, 13], [4, 6]], 17/16234976378880], [[[1, 13], [5, 3]], 367/30965760000], [[[1, 13], [7, 2]], 1/216760320], [[[1, 14], [2, 11]], 120221653567/27615694820474880000], [[[1, 15], [2, 10]], 63828476741/27615694820474880000], [[[1, 15], [3, 5]], 41/32105299968], [[[1, 16], [2, 9]], 389946471599/441851117127598080000], [[[1, 17], [2, 8]], 35244760597/147283705709199360000], [[[1, 17], [3, 4]], 2797/77052719923200], [[[1, 17], [4, 4]], 119/18786186952704000], [[[1, 17], [5, 2]], 383/71345111040000], [[[1, 17], [8, 2]], 23/2739652263936000], [[[1, 18], [2, 7]], 836971259/18410463213649920000], [[[1, 19], [2, 6]], 329698603/55231389640949760000], [[[1, 19], [3, 3]], 2111/5393690394624000], [[[1, 19], [7, 1]], 1/74912366592000], [[[1, 20], [2, 5]], 23593513/44185111712759808000], [[[1, 21], [2, 4]], 1412041/44185111712759808000], [[[1, 21], [3, 2]], 421/230130790170624000], [[[1, 21], [4, 2]], 59/7364185285459968000], [[[1, 21], [5, 1]], 157/575326975426560000], [[[1, 22], [2, 3]], 68711/55231389640949760000], [[[1, 23], [2, 2]], 551/18410463213649920000], [[[1, 23], [3, 1]], 1/281792804290560000], [[[1, 24], [2, 1]], 59/147283705709199360000], [[[2, 5], [4, 10]], 1/19327352832], [[[2, 9], [4, 8]], 97/3478923509760], [[[2, 9], [8, 4]], 1/1509949440], [[[2, 9], [10, 4]], 1/480000], [[[2, 11], [6, 7]], 1/26873856], [[[2, 13], [4, 6]], 17/16234976378880], [[[2, 13], [6, 6]], 59/4299816960], [[[2, 13], [10, 3]], 367/30965760000], [[[2, 13], [14, 2]], 1/216760320], [[[2, 15], [6, 5]], 41/32105299968], [[[2, 17], [4, 4]], 119/18786186952704000], [[[2, 17], [6, 4]], 2797/77052719923200], [[[2, 17], [8, 2]], 23/2739652263936000], [[[2, 17], [10, 2]], 383/71345111040000], [[[2, 19], [6, 3]], 2111/5393690394624000], [[[2, 19], [14, 1]], 1/74912366592000], [[[2, 21], [4, 2]], 59/7364185285459968000], [[[2, 21], [6, 2]], 421/230130790170624000], [[[2, 21], [10, 1]], 157/575326975426560000], [[[2, 23], [6, 1]], 1/281792804290560000], [[[1, 1], [2, 4], [4, 10]], 5/19327352832], [[[1, 1], [2, 4], [8, 5]], 1/1048576], [[[1, 1], [2, 6], [4, 9]], 29/9663676416], [[[1, 1], [2, 8], [4, 8]], 587/1159641169920], [[[1, 1], [2, 8], [8, 4]], 11/503316480], [[[1, 1], [2, 8], [10, 4]], 7/480000], [[[1, 1], [2, 10], [4, 7]], 8849/9132174213120], [[[1, 1], [2, 10], [6, 7]], 1/8957952], [[[1, 1], [2, 12], [4, 6]], 34921/730573937049600], [[[1, 1], [2, 12], [6, 6]], 223/1433272320], [[[1, 1], [2, 12], [8, 3]], 127/951268147200], [[[1, 1], [2, 12], [10, 3]], 10279/30965760000], [[[1, 1], [2, 12], [14, 2]], 37/216760320], [[[1, 1], [2, 14], [4, 5]], 18677/1095860905574400], [[[1, 1], [2, 14], [6, 5]], 1639/53508833280], [[[1, 1], [2, 16], [4, 4]], 64793/131503308668928000], [[[1, 1], [2, 16], [6, 4]], 40459/25684239974400], [[[1, 1], [2, 16], [8, 2]], 2063/2739652263936000], [[[1, 1], [2, 16], [10, 2]], 22961/71345111040000], [[[1, 1], [2, 16], [16, 1]], 1/7610145177600], [[[1, 1], [2, 18], [4, 3]], 13427/230130790170624000], [[[1, 1], [2, 18], [6, 3]], 48607/1797896798208000], [[[1, 1], [2, 18], [14, 1]], 379/299649466368000], [[[1, 1], [2, 20], [4, 2]], 7223/7364185285459968000], [[[1, 1], [2, 20], [6, 2]], 1987/10958609055744000], [[[1, 1], [2, 20], [8, 1]], 157/920523160682496000], [[[1, 1], [2, 20], [10, 1]], 2497/82189567918080000], [[[1, 1], [2, 22], [4, 1]], 71/2045607023738880000], [[[1, 1], [2, 22], [6, 1]], 2203/4602615803412480000], [[[1, 1], [4, 4], [8, 4]], 1/3145728], [[[1, 1], [4, 8], [8, 2]], 1/150994944], [[[1, 2], [2, 3], [4, 10]], 5/9663676416], [[[1, 2], [2, 3], [8, 5]], 3/1048576], [[[1, 2], [2, 5], [4, 9]], 149/9663676416], [[[1, 2], [2, 7], [4, 8]], 13201/217432719360], [[[1, 2], [2, 7], [8, 4]], 23/62914560], [[[1, 2], [2, 7], [10, 4]], 3/160000], [[[1, 2], [2, 9], [4, 7]], 164741/9132174213120], [[[1, 2], [2, 9], [6, 7]], 1/8957952], [[[1, 2], [2, 11], [4, 6]], 3568127/365286968524800], [[[1, 2], [2, 11], [6, 6]], 145/286654464], [[[1, 2], [2, 11], [8, 3]], 5317/951268147200], [[[1, 2], [2, 11], [10, 3]], 349/122880000], [[[1, 2], [2, 11], [14, 2]], 23/12042240], [[[1, 2], [2, 13], [4, 5]], 873701/1095860905574400], [[[1, 2], [2, 13], [6, 5]], 1097/4459069440], [[[1, 2], [2, 15], [4, 4]], 217657/2191721811148800], [[[1, 2], [2, 15], [5, 2]], 1/23781703680000], [[[1, 2], [2, 15], [6, 4]], 63103/2568423997440], [[[1, 2], [2, 15], [8, 2]], 317/11415217766400], [[[1, 2], [2, 15], [10, 2]], 307/41943040000], [[[1, 2], [2, 15], [16, 1]], 29/2536715059200], [[[1, 2], [2, 17], [4, 3]], 212683/46026158034124800], [[[1, 2], [2, 17], [6, 3]], 36529/51368479948800], [[[1, 2], [2, 17], [7, 1]], 23/599298932736000], [[[1, 2], [2, 17], [14, 1]], 23/493250150400], [[[1, 2], [2, 19], [3, 2]], 239/690392370511872000], [[[1, 2], [2, 19], [4, 2]], 72979/409121404747776000], [[[1, 2], [2, 19], [5, 1]], 239/191775658475520000], [[[1, 2], [2, 19], [6, 2]], 184031/25570087796736000], [[[1, 2], [2, 19], [8, 1]], 2497/131503308668928000], [[[1, 2], [2, 19], [10, 1]], 29149/21308406497280000], [[[1, 2], [2, 21], [3, 1]], 59/2761569482047488000], [[[1, 2], [2, 21], [4, 1]], 78839/18410463213649920000], [[[1, 2], [2, 21], [6, 1]], 6137/230130790170624000], [[[1, 3], [2, 2], [4, 10]], 5/9663676416], [[[1, 3], [2, 2], [8, 5]], 3/1048576], [[[1, 3], [2, 4], [4, 9]], 151/4831838208], [[[1, 3], [2, 6], [4, 8]], 4307/13589544960], [[[1, 3], [2, 6], [8, 4]], 91/37748736], [[[1, 3], [2, 6], [10, 4]], 1/160000], [[[1, 3], [2, 8], [4, 7]], 1218797/2283043553280], [[[1, 3], [2, 8], [6, 7]], 1/26873856], [[[1, 3], [2, 10], [4, 6]], 21996973/121762322841600], [[[1, 3], [2, 10], [6, 6]], 637/859963392], [[[1, 3], [2, 10], [8, 3]], 15109/190253629440], [[[1, 3], [2, 10], [10, 3]], 1253/122880000], [[[1, 3], [2, 10], [14, 2]], 323/36126720], [[[1, 3], [2, 12], [4, 5]], 24732949/547930452787200], [[[1, 3], [2, 12], [6, 5]], 3889/4459069440], [[[1, 3], [2, 14], [4, 4]], 1865933/438344362229760], [[[1, 3], [2, 14], [5, 2]], 29/7927234560000], [[[1, 3], [2, 14], [6, 4]], 1386877/7705271992320], [[[1, 3], [2, 14], [8, 2]], 199/356725555200], [[[1, 3], [2, 14], [10, 2]], 1940563/23781703680000], [[[1, 3], [2, 14], [16, 1]], 943/2536715059200], [[[1, 3], [2, 16], [4, 3]], 1311629/4794391461888000], [[[1, 3], [2, 16], [6, 3]], 1432309/154105439846400], [[[1, 3], [2, 16], [7, 1]], 2063/599298932736000], [[[1, 3], [2, 16], [14, 1]], 6997/7990652436480], [[[1, 3], [2, 18], [3, 2]], 43/1217623228416000], [[[1, 3], [2, 18], [4, 2]], 1593953/136373801582592000], [[[1, 3], [2, 18], [5, 1]], 43/338228674560000], [[[1, 3], [2, 18], [6, 2]], 3816517/25570087796736000], [[[1, 3], [2, 18], [8, 1]], 786127/920523160682496000], [[[1, 3], [2, 18], [10, 1]], 6263687/191775658475520000], [[[1, 3], [2, 20], [3, 1]], 7223/2761569482047488000], [[[1, 3], [2, 20], [4, 1]], 1196519/5523138964094976000], [[[1, 3], [2, 20], [6, 1]], 278113/345196185255936000], [[[1, 3], [4, 1], [8, 5]], 1/1048576], [[[1, 3], [4, 5], [8, 3]], 1/4194304], [[[1, 3], [4, 7], [16, 1]], 1/25165824], [[[1, 3], [4, 9], [8, 1]], 1/805306368], [[[1, 4], [2, 1], [4, 10]], 5/19327352832], [[[1, 4], [2, 1], [8, 5]], 1/1048576], [[[1, 4], [2, 3], [4, 9]], 151/4831838208], [[[1, 4], [2, 5], [4, 8]], 226571/347892350976], [[[1, 4], [2, 5], [8, 4]], 899/150994944], [[[1, 4], [2, 7], [4, 7]], 6241139/2283043553280], [[[1, 4], [2, 9], [4, 6]], 71333623/29222957481984], [[[1, 4], [2, 9], [5, 3]], 29/10321920000], [[[1, 4], [2, 9], [6, 6]], 481/859963392], [[[1, 4], [2, 9], [7, 2]], 1/72253440], [[[1, 4], [2, 9], [8, 3]], 102943/190253629440], [[[1, 4], [2, 9], [10, 3]], 277/16384000], [[[1, 4], [2, 9], [14, 2]], 23/1204224], [[[1, 4], [2, 11], [4, 5]], 411335557/547930452787200], [[[1, 4], [2, 11], [6, 5]], 6211/3822059520], [[[1, 4], [2, 13], [3, 4]], 437/77052719923200], [[[1, 4], [2, 13], [4, 4]], 47588117/438344362229760], [[[1, 4], [2, 13], [5, 2]], 4577/23781703680000], [[[1, 4], [2, 13], [6, 4]], 3577969/5136847994880], [[[1, 4], [2, 13], [8, 2]], 310333/45660871065600], [[[1, 4], [2, 13], [10, 2]], 2341681/4756340736000], [[[1, 4], [2, 13], [16, 1]], 44203/7610145177600], [[[1, 4], [2, 15], [3, 3]], 1/880602513408], [[[1, 4], [2, 15], [4, 3]], 9147389/1065420324864000], [[[1, 4], [2, 15], [6, 3]], 2061041/30821087969280], [[[1, 4], [2, 15], [7, 1]], 4691/39953262182400], [[[1, 4], [2, 15], [14, 1]], 4937/532710162432], [[[1, 4], [2, 17], [3, 2]], 339671/230130790170624000], [[[1, 4], [2, 17], [4, 2]], 513259487/1472837057091993600], [[[1, 4], [2, 17], [5, 1]], 2963743/575326975426560000], [[[1, 4], [2, 17], [6, 2]], 46577/26091926323200], [[[1, 4], [2, 17], [8, 1]], 3741233/184104632136499200], [[[1, 4], [2, 17], [10, 1]], 625357/1369826131968000], [[[1, 4], [2, 19], [3, 1]], 6457/49313740750848000], [[[1, 4], [2, 19], [4, 1]], 32553767/5523138964094976000], [[[1, 4], [2, 19], [6, 1]], 13443329/920523160682496000], [[[1, 5], [2, 2], [4, 9]], 149/9663676416], [[[1, 5], [2, 4], [4, 8]], 226571/347892350976], [[[1, 5], [2, 4], [8, 4]], 899/150994944], [[[1, 5], [2, 6], [4, 7]], 1234721/217432719360], [[[1, 5], [2, 8], [4, 6]], 333215539/29222957481984], [[[1, 5], [2, 8], [5, 3]], 109/1146880000], [[[1, 5], [2, 8], [6, 6]], 199/859963392], [[[1, 5], [2, 8], [7, 2]], 11/24084480], [[[1, 5], [2, 8], [8, 3]], 45319/22649241600], [[[1, 5], [2, 8], [10, 3]], 679/49152000], [[[1, 5], [2, 8], [14, 2]], 13/602112], [[[1, 5], [2, 10], [4, 5]], 2243779849/365286968524800], [[[1, 5], [2, 10], [6, 5]], 19937/11466178560], [[[1, 5], [2, 12], [3, 4]], 6707/25684239974400], [[[1, 5], [2, 12], [4, 4]], 427409203/313103115878400], [[[1, 5], [2, 12], [5, 2]], 124687/23781703680000], [[[1, 5], [2, 12], [6, 4]], 380393/244611809280], [[[1, 5], [2, 12], [8, 2]], 2372761/45660871065600], [[[1, 5], [2, 12], [10, 2]], 8082847/4756340736000], [[[1, 5], [2, 12], [16, 1]], 72101/1522029035520], [[[1, 5], [2, 14], [3, 3]], 10529/154105439846400], [[[1, 5], [2, 14], [4, 3]], 5039389/39137889484800], [[[1, 5], [2, 14], [6, 3]], 43454791/154105439846400], [[[1, 5], [2, 14], [7, 1]], 8789/4439251353600], [[[1, 5], [2, 14], [14, 1]], 259093/4439251353600], [[[1, 5], [2, 16], [3, 2]], 23246471/690392370511872000], [[[1, 5], [2, 16], [4, 2]], 40354178671/7364185285459968000], [[[1, 5], [2, 16], [5, 1]], 62482597/575326975426560000], [[[1, 5], [2, 16], [6, 2]], 21298733/1643791358361600], [[[1, 5], [2, 16], [8, 1]], 3089549/10958609055744000], [[[1, 5], [2, 16], [10, 1]], 1074491/273965226393600], [[[1, 5], [2, 18], [3, 1]], 115427/32875827167232000], [[[1, 5], [2, 18], [4, 1]], 250662397/2630066173378560000], [[[1, 5], [2, 18], [6, 1]], 51189359/306841053560832000], [[[1, 5], [3, 2], [4, 8]], 7/5435817984], [[[1, 5], [3, 2], [8, 4]], 1/2359296], [[[1, 5], [3, 4], [4, 6]], 1/254803968], [[[1, 5], [4, 2], [8, 4]], 17/25165824], [[[1, 5], [4, 4], [5, 3]], 1/6144000], [[[1, 5], [4, 6], [5, 2]], 1/15728640], [[[1, 5], [4, 6], [8, 2]], 1/25165824], [[[1, 5], [4, 6], [12, 2]], 1/1179648], [[[1, 5], [4, 8], [5, 1]], 7/1509949440], [[[1, 5], [4, 8], [12, 1]], 1/75497472], [[[1, 5], [5, 1], [8, 4]], 1/655360], [[[1, 5], [5, 3], [8, 2]], 1/128000], [[[1, 6], [2, 1], [4, 9]], 29/9663676416], [[[1, 6], [2, 3], [4, 8]], 4307/13589544960], [[[1, 6], [2, 3], [5, 4]], 1/160000], [[[1, 6], [2, 3], [8, 4]], 91/37748736], [[[1, 6], [2, 5], [4, 7]], 1234721/217432719360], [[[1, 6], [2, 7], [3, 6]], 1/286654464], [[[1, 6], [2, 7], [4, 6]], 612892283/26091926323200], [[[1, 6], [2, 7], [5, 3]], 1141/1105920000], [[[1, 6], [2, 7], [6, 6]], 5/95551488], [[[1, 6], [2, 7], [7, 2]], 431/108380160], [[[1, 6], [2, 7], [8, 3]], 30703/7549747200], [[[1, 6], [2, 7], [10, 3]], 6109/1105920000], [[[1, 6], [2, 7], [14, 2]], 1433/108380160], [[[1, 6], [2, 9], [3, 5]], 1583/481579499520], [[[1, 6], [2, 9], [4, 5]], 64605983/2705829396480], [[[1, 6], [2, 9], [6, 5]], 3769/3439853568], [[[1, 6], [2, 11], [3, 4]], 181273/38526359961600], [[[1, 6], [2, 11], [4, 4]], 261131814257/32875827167232000], [[[1, 6], [2, 11], [5, 2]], 4956131/71345111040000], [[[1, 6], [2, 11], [6, 4]], 5826941/2751882854400], [[[1, 6], [2, 11], [8, 2]], 21034639/85614133248000], [[[1, 6], [2, 11], [10, 2]], 83087357/23781703680000], [[[1, 6], [2, 11], [16, 1]], 323459/1522029035520], [[[1, 6], [2, 13], [3, 3]], 6871/4403012567040], [[[1, 6], [2, 13], [4, 3]], 670674013/684913065984000], [[[1, 6], [2, 13], [6, 3]], 112968859/154105439846400], [[[1, 6], [2, 13], [7, 1]], 103993/5707608883200], [[[1, 6], [2, 13], [14, 1]], 135494033/599298932736000], [[[1, 6], [2, 15], [3, 2]], 774623/1643791358361600], [[[1, 6], [2, 15], [4, 2]], 6441013331/131503308668928000], [[[1, 6], [2, 15], [5, 1]], 1285207/978447237120000], [[[1, 6], [2, 15], [6, 2]], 1459538279/24656870375424000], [[[1, 6], [2, 15], [8, 1]], 3737809/1565515579392000], [[[1, 6], [2, 15], [10, 1]], 62766931/2935341711360000], [[[1, 6], [2, 17], [3, 1]], 85325101/1534205267804160000], [[[1, 6], [2, 17], [4, 1]], 17702894099/18410463213649920000], [[[1, 6], [2, 17], [6, 1]], 133381643/107873807892480000], [[[1, 7], [2, 2], [4, 8]], 13201/217432719360], [[[1, 7], [2, 2], [5, 4]], 3/160000], [[[1, 7], [2, 2], [8, 4]], 23/62914560], [[[1, 7], [2, 4], [4, 7]], 6241139/2283043553280], [[[1, 7], [2, 6], [3, 6]], 5/95551488], [[[1, 7], [2, 6], [4, 6]], 612892283/26091926323200], [[[1, 7], [2, 6], [5, 3]], 6109/1105920000], [[[1, 7], [2, 6], [6, 6]], 1/286654464], [[[1, 7], [2, 6], [7, 2]], 1433/108380160], [[[1, 7], [2, 6], [8, 3]], 30703/7549747200], [[[1, 7], [2, 6], [10, 3]], 1141/1105920000], [[[1, 7], [2, 6], [14, 2]], 431/108380160], [[[1, 7], [2, 8], [3, 5]], 10141/160526499840], [[[1, 7], [2, 8], [4, 5]], 157475587/3382286745600], [[[1, 7], [2, 8], [6, 5]], 443/1146617856], [[[1, 7], [2, 10], [3, 4]], 1790921/38526359961600], [[[1, 7], [2, 10], [4, 4]], 786943111337/32875827167232000], [[[1, 7], [2, 10], [5, 2]], 33300773/71345111040000], [[[1, 7], [2, 10], [6, 4]], 1638647/917294284800], [[[1, 7], [2, 10], [8, 2]], 119497703/171228266496000], [[[1, 7], [2, 10], [10, 2]], 105007883/23781703680000], [[[1, 7], [2, 10], [16, 1]], 4180109/7610145177600], [[[1, 7], [2, 12], [3, 3]], 2718911/154105439846400], [[[1, 7], [2, 12], [4, 3]], 117133338547/28766348771328000], [[[1, 7], [2, 12], [6, 3]], 62545783/51368479948800], [[[1, 7], [2, 12], [7, 1]], 6887/70464307200], [[[1, 7], [2, 12], [14, 1]], 332226623/599298932736000], [[[1, 7], [2, 14], [3, 2]], 7028221/1643791358361600], [[[1, 7], [2, 14], [4, 2]], 981295561/3757237390540800], [[[1, 7], [2, 14], [5, 1]], 65448163/6849130659840000], [[[1, 7], [2, 14], [6, 2]], 206176921/1174136684544000], [[[1, 7], [2, 14], [8, 1]], 83471141/6575165433446400], [[[1, 7], [2, 14], [10, 1]], 222795409/2935341711360000], [[[1, 7], [2, 16], [3, 1]], 7522713829/13807847410237440000], [[[1, 7], [2, 16], [4, 1]], 14351564123/2301307901706240000], [[[1, 7], [2, 16], [6, 1]], 1749222613/287663487713280000], [[[1, 7], [3, 1], [4, 8]], 25/21743271936], [[[1, 7], [3, 1], [5, 4]], 1/60000], [[[1, 7], [3, 1], [8, 4]], 1/9437184], [[[1, 7], [3, 3], [4, 6]], 1/42467328], [[[1, 7], [3, 3], [5, 3]], 1/216000], [[[1, 7], [3, 3], [7, 2]], 1/42336], [[[1, 7], [3, 5], [4, 4]], 19/286654464], [[[1, 7], [3, 5], [8, 2]], 1/5971968], [[[1, 7], [4, 3], [8, 3]], 17/141557760], [[[1, 7], [4, 5], [16, 1]], 91/4529848320], [[[1, 7], [4, 6], [7, 1]], 1/66060288], [[[1, 7], [4, 7], [8, 1]], 227/108716359680], [[[1, 7], [5, 3], [7, 1]], 1/28000], [[[1, 8], [2, 1], [4, 8]], 587/1159641169920], [[[1, 8], [2, 1], [5, 4]], 7/480000], [[[1, 8], [2, 1], [8, 4]], 11/503316480], [[[1, 8], [2, 3], [3, 7]], 1/26873856], [[[1, 8], [2, 3], [4, 7]], 1218797/2283043553280], [[[1, 8], [2, 5], [3, 6]], 199/859963392], [[[1, 8], [2, 5], [4, 6]], 333215539/29222957481984], [[[1, 8], [2, 5], [5, 3]], 679/49152000], [[[1, 8], [2, 5], [7, 2]], 13/602112], [[[1, 8], [2, 5], [8, 3]], 45319/22649241600], [[[1, 8], [2, 5], [10, 3]], 109/1146880000], [[[1, 8], [2, 5], [14, 2]], 11/24084480], [[[1, 8], [2, 7], [3, 5]], 443/1146617856], [[[1, 8], [2, 7], [4, 5]], 157475587/3382286745600], [[[1, 8], [2, 7], [6, 5]], 10141/160526499840], [[[1, 8], [2, 9], [3, 4]], 4196587/15410543984640], [[[1, 8], [2, 9], [4, 4]], 19779750041/487049291366400], [[[1, 8], [2, 9], [5, 2]], 13253699/7927234560000], [[[1, 8], [2, 9], [6, 4]], 939793/1027369598976], [[[1, 8], [2, 9], [8, 2]], 35601821/30440580710400], [[[1, 8], [2, 9], [10, 2]], 1311001/377487360000], [[[1, 8], [2, 9], [16, 1]], 734339/845571686400], [[[1, 8], [2, 11], [3, 3]], 84596563/770527199232000], [[[1, 8], [2, 11], [4, 3]], 18048388741/1797896798208000], [[[1, 8], [2, 11], [6, 3]], 471240011/359579359641600], [[[1, 8], [2, 11], [7, 1]], 192788093/599298932736000], [[[1, 8], [2, 11], [14, 1]], 472873/532710162432], [[[1, 8], [2, 13], [3, 2]], 209878429/8218956791808000], [[[1, 8], [2, 13], [4, 2]], 1064908751209/1227364214243328000], [[[1, 8], [2, 13], [5, 1]], 98615581/2283043553280000], [[[1, 8], [2, 13], [6, 2]], 39882886667/115065395085312000], [[[1, 8], [2, 13], [8, 1]], 1422840259/32875827167232000], [[[1, 8], [2, 13], [10, 1]], 1911598921/10654203248640000], [[[1, 8], [2, 15], [3, 1]], 64982741/19177565847552000], [[[1, 8], [2, 15], [4, 1]], 20430734441/767102633902080000], [[[1, 8], [2, 15], [6, 1]], 9319620419/460261580341248000], [[[1, 9], [2, 2], [3, 7]], 1/8957952], [[[1, 9], [2, 2], [4, 7]], 164741/9132174213120], [[[1, 9], [2, 4], [3, 6]], 481/859963392], [[[1, 9], [2, 4], [4, 6]], 71333623/29222957481984], [[[1, 9], [2, 4], [5, 3]], 277/16384000], [[[1, 9], [2, 4], [7, 2]], 23/1204224], [[[1, 9], [2, 4], [8, 3]], 102943/190253629440], [[[1, 9], [2, 4], [10, 3]], 29/10321920000], [[[1, 9], [2, 4], [14, 2]], 1/72253440], [[[1, 9], [2, 6], [3, 5]], 3769/3439853568], [[[1, 9], [2, 6], [4, 5]], 64605983/2705829396480], [[[1, 9], [2, 6], [6, 5]], 1583/481579499520], [[[1, 9], [2, 8], [3, 4]], 939793/1027369598976], [[[1, 9], [2, 8], [4, 4]], 19779750041/487049291366400], [[[1, 9], [2, 8], [5, 2]], 1311001/377487360000], [[[1, 9], [2, 8], [6, 4]], 4196587/15410543984640], [[[1, 9], [2, 8], [8, 2]], 35601821/30440580710400], [[[1, 9], [2, 8], [10, 2]], 13253699/7927234560000], [[[1, 9], [2, 8], [16, 1]], 734339/845571686400], [[[1, 9], [2, 10], [3, 3]], 44264099/110075314176000], [[[1, 9], [2, 10], [4, 3]], 119280778969/7671026339020800], [[[1, 9], [2, 10], [6, 3]], 982480147/1078738078924800], [[[1, 9], [2, 10], [7, 1]], 407102963/599298932736000], [[[1, 9], [2, 10], [14, 1]], 37894417/39953262182400], [[[1, 9], [2, 12], [3, 2]], 23348021/234827336908800], [[[1, 9], [2, 12], [4, 2]], 2307905217421/1227364214243328000], [[[1, 9], [2, 12], [5, 1]], 858466813/6849130659840000], [[[1, 9], [2, 12], [6, 2]], 159241828243/345196185255936000], [[[1, 9], [2, 12], [8, 1]], 44388894059/460261580341248000], [[[1, 9], [2, 12], [10, 1]], 27614729731/95887829237760000], [[[1, 9], [2, 14], [3, 1]], 130968107/9588782923776000], [[[1, 9], [2, 14], [4, 1]], 84791160781/1104627792818995200], [[[1, 9], [2, 14], [6, 1]], 64169586097/1380784741023744000], [[[1, 9], [3, 2], [4, 6]], 91/13589544960], [[[1, 9], [3, 2], [5, 3]], 1/96000], [[[1, 9], [3, 2], [7, 2]], 1/112896], [[[1, 9], [3, 4], [4, 4]], 587/9172942848], [[[1, 9], [3, 4], [5, 2]], 23/6220800], [[[1, 9], [3, 4], [8, 2]], 29/191102976], [[[1, 9], [3, 5], [7, 1]], 5/2612736], [[[1, 9], [3, 5], [9, 1]], 1/373248], [[[1, 9], [3, 6], [4, 2]], 7/71663616], [[[1, 9], [3, 6], [5, 1]], 1/2799360], [[[1, 9], [4, 2], [5, 3]], 11/12288000], [[[1, 9], [4, 2], [7, 2]], 1/1204224], [[[1, 9], [4, 4], [5, 2]], 1303/14155776000], [[[1, 9], [4, 4], [8, 2]], 107/14092861440], [[[1, 9], [4, 4], [12, 2]], 1/212336640], [[[1, 9], [4, 6], [5, 1]], 7/2264924160], [[[1, 9], [4, 6], [12, 1]], 49/13589544960], [[[1, 9], [5, 1], [7, 2]], 1/94080], [[[1, 9], [5, 2], [8, 2]], 133/294912000], [[[1, 10], [2, 1], [3, 7]], 1/8957952], [[[1, 10], [2, 1], [4, 7]], 8849/9132174213120], [[[1, 10], [2, 3], [3, 6]], 637/859963392], [[[1, 10], [2, 3], [4, 6]], 21996973/121762322841600], [[[1, 10], [2, 3], [5, 3]], 1253/122880000], [[[1, 10], [2, 3], [7, 2]], 323/36126720], [[[1, 10], [2, 3], [8, 3]], 15109/190253629440], [[[1, 10], [2, 5], [3, 5]], 19937/11466178560], [[[1, 10], [2, 5], [4, 5]], 2243779849/365286968524800], [[[1, 10], [2, 7], [3, 4]], 1638647/917294284800], [[[1, 10], [2, 7], [4, 4]], 786943111337/32875827167232000], [[[1, 10], [2, 7], [5, 2]], 105007883/23781703680000], [[[1, 10], [2, 7], [6, 4]], 1790921/38526359961600], [[[1, 10], [2, 7], [8, 2]], 119497703/171228266496000], [[[1, 10], [2, 7], [10, 2]], 33300773/71345111040000], [[[1, 10], [2, 7], [16, 1]], 4180109/7610145177600], [[[1, 10], [2, 9], [3, 3]], 982480147/1078738078924800], [[[1, 10], [2, 9], [4, 3]], 119280778969/7671026339020800], [[[1, 10], [2, 9], [6, 3]], 44264099/110075314176000], [[[1, 10], [2, 9], [7, 1]], 37894417/39953262182400], [[[1, 10], [2, 9], [14, 1]], 407102963/599298932736000], [[[1, 10], [2, 11], [3, 2]], 5760343727/23013079017062400], [[[1, 10], [2, 11], [4, 2]], 5055515190217/1841046321364992000], [[[1, 10], [2, 11], [5, 1]], 69558280931/287663487713280000], [[[1, 10], [2, 11], [6, 2]], 47751781841/115065395085312000], [[[1, 10], [2, 11], [8, 1]], 13173946333/92052316068249600], [[[1, 10], [2, 11], [10, 1]], 91447180793/287663487713280000], [[[1, 10], [2, 13], [3, 1]], 50404729447/1380784741023744000], [[[1, 10], [2, 13], [4, 1]], 845165438633/5523138964094976000], [[[1, 10], [2, 13], [6, 1]], 128547041083/1725980926279680000], [[[1, 11], [2, 2], [3, 6]], 145/286654464], [[[1, 11], [2, 2], [4, 6]], 3568127/365286968524800], [[[1, 11], [2, 2], [5, 3]], 349/122880000], [[[1, 11], [2, 2], [7, 2]], 23/12042240], [[[1, 11], [2, 2], [8, 3]], 5317/951268147200], [[[1, 11], [2, 4], [3, 5]], 6211/3822059520], [[[1, 11], [2, 4], [4, 5]], 411335557/547930452787200], [[[1, 11], [2, 6], [3, 4]], 5826941/2751882854400], [[[1, 11], [2, 6], [4, 4]], 261131814257/32875827167232000], [[[1, 11], [2, 6], [5, 2]], 83087357/23781703680000], [[[1, 11], [2, 6], [6, 4]], 181273/38526359961600], [[[1, 11], [2, 6], [8, 2]], 21034639/85614133248000], [[[1, 11], [2, 6], [10, 2]], 4956131/71345111040000], [[[1, 11], [2, 6], [16, 1]], 323459/1522029035520], [[[1, 11], [2, 8], [3, 3]], 471240011/359579359641600], [[[1, 11], [2, 8], [4, 3]], 18048388741/1797896798208000], [[[1, 11], [2, 8], [6, 3]], 84596563/770527199232000], [[[1, 11], [2, 8], [7, 1]], 472873/532710162432], [[[1, 11], [2, 8], [14, 1]], 192788093/599298932736000], [[[1, 11], [2, 10], [3, 2]], 47751781841/115065395085312000], [[[1, 11], [2, 10], [4, 2]], 5055515190217/1841046321364992000], [[[1, 11], [2, 10], [5, 1]], 91447180793/287663487713280000], [[[1, 11], [2, 10], [6, 2]], 5760343727/23013079017062400], [[[1, 11], [2, 10], [8, 1]], 13173946333/92052316068249600], [[[1, 11], [2, 10], [10, 1]], 69558280931/287663487713280000], [[[1, 11], [2, 12], [3, 1]], 30562500377/460261580341248000], [[[1, 11], [2, 12], [4, 1]], 989584389107/4602615803412480000], [[[1, 11], [2, 12], [6, 1]], 9052361903/107873807892480000], [[[1, 11], [3, 1], [4, 6]], 481/2283043553280], [[[1, 11], [3, 1], [5, 3]], 53/46080000], [[[1, 11], [3, 1], [7, 2]], 1/1290240], [[[1, 11], [3, 3], [4, 4]], 7019/642105999360], [[[1, 11], [3, 3], [5, 2]], 469/248832000], [[[1, 11], [3, 3], [8, 2]], 101/3344302080], [[[1, 11], [3, 4], [7, 1]], 151/209018880], [[[1, 11], [3, 4], [9, 1]], 11/14929920], [[[1, 11], [3, 5], [4, 2]], 17/318504960], [[[1, 11], [3, 5], [5, 1]], 1/1990656], [[[1, 11], [4, 1], [8, 3]], 379/951268147200], [[[1, 11], [4, 3], [16, 1]], 17/126835752960], [[[1, 11], [4, 4], [7, 1]], 1/424673280], [[[1, 11], [4, 5], [8, 1]], 14873/91321742131200], [[[1, 11], [5, 2], [7, 1]], 53/64512000], [[[1, 11], [7, 1], [8, 2]], 1/247726080], [[[1, 12], [2, 1], [3, 6]], 223/1433272320], [[[1, 12], [2, 1], [4, 6]], 34921/730573937049600], [[[1, 12], [2, 1], [5, 3]], 10279/30965760000], [[[1, 12], [2, 1], [7, 2]], 37/216760320], [[[1, 12], [2, 1], [8, 3]], 127/951268147200], [[[1, 12], [2, 3], [3, 5]], 3889/4459069440], [[[1, 12], [2, 3], [4, 5]], 24732949/547930452787200], [[[1, 12], [2, 5], [3, 4]], 380393/244611809280], [[[1, 12], [2, 5], [4, 4]], 427409203/313103115878400], [[[1, 12], [2, 5], [5, 2]], 8082847/4756340736000], [[[1, 12], [2, 5], [6, 4]], 6707/25684239974400], [[[1, 12], [2, 5], [8, 2]], 2372761/45660871065600], [[[1, 12], [2, 5], [10, 2]], 124687/23781703680000], [[[1, 12], [2, 5], [16, 1]], 72101/1522029035520], [[[1, 12], [2, 7], [3, 3]], 62545783/51368479948800], [[[1, 12], [2, 7], [4, 3]], 117133338547/28766348771328000], [[[1, 12], [2, 7], [6, 3]], 2718911/154105439846400], [[[1, 12], [2, 7], [7, 1]], 332226623/599298932736000], [[[1, 12], [2, 7], [14, 1]], 6887/70464307200], [[[1, 12], [2, 9], [3, 2]], 159241828243/345196185255936000], [[[1, 12], [2, 9], [4, 2]], 2307905217421/1227364214243328000], [[[1, 12], [2, 9], [5, 1]], 27614729731/95887829237760000], [[[1, 12], [2, 9], [6, 2]], 23348021/234827336908800], [[[1, 12], [2, 9], [8, 1]], 44388894059/460261580341248000], [[[1, 12], [2, 9], [10, 1]], 858466813/6849130659840000], [[[1, 12], [2, 11], [3, 1]], 9052361903/107873807892480000], [[[1, 12], [2, 11], [4, 1]], 989584389107/4602615803412480000], [[[1, 12], [2, 11], [6, 1]], 30562500377/460261580341248000], [[[1, 13], [2, 2], [3, 5]], 1097/4459069440], [[[1, 13], [2, 2], [4, 5]], 873701/1095860905574400], [[[1, 13], [2, 4], [3, 4]], 3577969/5136847994880], [[[1, 13], [2, 4], [4, 4]], 47588117/438344362229760], [[[1, 13], [2, 4], [5, 2]], 2341681/4756340736000], [[[1, 13], [2, 4], [6, 4]], 437/77052719923200], [[[1, 13], [2, 4], [8, 2]], 310333/45660871065600], [[[1, 13], [2, 4], [10, 2]], 4577/23781703680000], [[[1, 13], [2, 4], [16, 1]], 44203/7610145177600], [[[1, 13], [2, 6], [3, 3]], 112968859/154105439846400], [[[1, 13], [2, 6], [4, 3]], 670674013/684913065984000], [[[1, 13], [2, 6], [6, 3]], 6871/4403012567040], [[[1, 13], [2, 6], [7, 1]], 135494033/599298932736000], [[[1, 13], [2, 6], [14, 1]], 103993/5707608883200], [[[1, 13], [2, 8], [3, 2]], 39882886667/115065395085312000], [[[1, 13], [2, 8], [4, 2]], 1064908751209/1227364214243328000], [[[1, 13], [2, 8], [5, 1]], 1911598921/10654203248640000], [[[1, 13], [2, 8], [6, 2]], 209878429/8218956791808000], [[[1, 13], [2, 8], [8, 1]], 1422840259/32875827167232000], [[[1, 13], [2, 8], [10, 1]], 98615581/2283043553280000], [[[1, 13], [2, 10], [3, 1]], 128547041083/1725980926279680000], [[[1, 13], [2, 10], [4, 1]], 845165438633/5523138964094976000], [[[1, 13], [2, 10], [6, 1]], 50404729447/1380784741023744000], [[[1, 13], [3, 2], [4, 4]], 70583/205473919795200], [[[1, 13], [3, 2], [5, 2]], 4429/37158912000], [[[1, 13], [3, 2], [8, 2]], 1699/2140353331200], [[[1, 13], [3, 3], [7, 1]], 3191/46820229120], [[[1, 13], [3, 3], [9, 1]], 47/2229534720], [[[1, 13], [3, 4], [4, 2]], 2803/428070666240], [[[1, 13], [3, 4], [5, 1]], 821/8360755200], [[[1, 13], [4, 2], [5, 2]], 757/396361728000], [[[1, 13], [4, 2], [8, 2]], 143/3805072588800], [[[1, 13], [4, 4], [5, 1]], 4799/57076088832000], [[[1, 13], [4, 4], [12, 1]], 1/42278584320], [[[1, 13], [5, 1], [8, 2]], 127/594542592000], [[[1, 14], [2, 1], [3, 5]], 1639/53508833280], [[[1, 14], [2, 1], [4, 5]], 18677/1095860905574400], [[[1, 14], [2, 3], [3, 4]], 1386877/7705271992320], [[[1, 14], [2, 3], [4, 4]], 1865933/438344362229760], [[[1, 14], [2, 3], [5, 2]], 1940563/23781703680000], [[[1, 14], [2, 3], [8, 2]], 199/356725555200], [[[1, 14], [2, 3], [10, 2]], 29/7927234560000], [[[1, 14], [2, 3], [16, 1]], 943/2536715059200], [[[1, 14], [2, 5], [3, 3]], 43454791/154105439846400], [[[1, 14], [2, 5], [4, 3]], 5039389/39137889484800], [[[1, 14], [2, 5], [6, 3]], 10529/154105439846400], [[[1, 14], [2, 5], [7, 1]], 259093/4439251353600], [[[1, 14], [2, 5], [14, 1]], 8789/4439251353600], [[[1, 14], [2, 7], [3, 2]], 206176921/1174136684544000], [[[1, 14], [2, 7], [4, 2]], 981295561/3757237390540800], [[[1, 14], [2, 7], [5, 1]], 222795409/2935341711360000], [[[1, 14], [2, 7], [6, 2]], 7028221/1643791358361600], [[[1, 14], [2, 7], [8, 1]], 83471141/6575165433446400], [[[1, 14], [2, 7], [10, 1]], 65448163/6849130659840000], [[[1, 14], [2, 9], [3, 1]], 64169586097/1380784741023744000], [[[1, 14], [2, 9], [4, 1]], 84791160781/1104627792818995200], [[[1, 14], [2, 9], [6, 1]], 130968107/9588782923776000], [[[1, 15], [2, 2], [3, 4]], 63103/2568423997440], [[[1, 15], [2, 2], [4, 4]], 217657/2191721811148800], [[[1, 15], [2, 2], [5, 2]], 307/41943040000], [[[1, 15], [2, 2], [8, 2]], 317/11415217766400], [[[1, 15], [2, 2], [10, 2]], 1/23781703680000], [[[1, 15], [2, 2], [16, 1]], 29/2536715059200], [[[1, 15], [2, 4], [3, 3]], 2061041/30821087969280], [[[1, 15], [2, 4], [4, 3]], 9147389/1065420324864000], [[[1, 15], [2, 4], [6, 3]], 1/880602513408], [[[1, 15], [2, 4], [7, 1]], 4937/532710162432], [[[1, 15], [2, 4], [14, 1]], 4691/39953262182400], [[[1, 15], [2, 6], [3, 2]], 1459538279/24656870375424000], [[[1, 15], [2, 6], [4, 2]], 6441013331/131503308668928000], [[[1, 15], [2, 6], [5, 1]], 62766931/2935341711360000], [[[1, 15], [2, 6], [6, 2]], 774623/1643791358361600], [[[1, 15], [2, 6], [8, 1]], 3737809/1565515579392000], [[[1, 15], [2, 6], [10, 1]], 1285207/978447237120000], [[[1, 15], [2, 8], [3, 1]], 9319620419/460261580341248000], [[[1, 15], [2, 8], [4, 1]], 20430734441/767102633902080000], [[[1, 15], [2, 8], [6, 1]], 64982741/19177565847552000], [[[1, 15], [3, 1], [4, 4]], 2267/821895679180800], [[[1, 15], [3, 1], [5, 2]], 3497/2229534720000], [[[1, 15], [3, 1], [8, 2]], 89/17122826649600], [[[1, 15], [3, 2], [7, 1]], 67/46820229120], [[[1, 15], [3, 2], [9, 1]], 19/133772083200], [[[1, 15], [3, 3], [4, 2]], 253/1284211998720], [[[1, 15], [3, 3], [5, 1]], 7909/2006581248000], [[[1, 15], [4, 1], [16, 1]], 1/7610145177600], [[[1, 15], [4, 2], [7, 1]], 1/66588770304], [[[1, 15], [4, 3], [8, 1]], 1/1043677052928], [[[1, 15], [5, 1], [7, 1]], 11/28901376000], [[[1, 16], [2, 1], [3, 4]], 40459/25684239974400], [[[1, 16], [2, 1], [4, 4]], 64793/131503308668928000], [[[1, 16], [2, 1], [5, 2]], 22961/71345111040000], [[[1, 16], [2, 1], [8, 2]], 2063/2739652263936000], [[[1, 16], [2, 1], [16, 1]], 1/7610145177600], [[[1, 16], [2, 3], [3, 3]], 1432309/154105439846400], [[[1, 16], [2, 3], [4, 3]], 1311629/4794391461888000], [[[1, 16], [2, 3], [7, 1]], 6997/7990652436480], [[[1, 16], [2, 3], [14, 1]], 2063/599298932736000], [[[1, 16], [2, 5], [3, 2]], 21298733/1643791358361600], [[[1, 16], [2, 5], [4, 2]], 40354178671/7364185285459968000], [[[1, 16], [2, 5], [5, 1]], 1074491/273965226393600], [[[1, 16], [2, 5], [6, 2]], 23246471/690392370511872000], [[[1, 16], [2, 5], [8, 1]], 3089549/10958609055744000], [[[1, 16], [2, 5], [10, 1]], 62482597/575326975426560000], [[[1, 16], [2, 7], [3, 1]], 1749222613/287663487713280000], [[[1, 16], [2, 7], [4, 1]], 14351564123/2301307901706240000], [[[1, 16], [2, 7], [6, 1]], 7522713829/13807847410237440000], [[[1, 17], [2, 2], [3, 3]], 36529/51368479948800], [[[1, 17], [2, 2], [4, 3]], 212683/46026158034124800], [[[1, 17], [2, 2], [7, 1]], 23/493250150400], [[[1, 17], [2, 2], [14, 1]], 23/599298932736000], [[[1, 17], [2, 4], [3, 2]], 46577/26091926323200], [[[1, 17], [2, 4], [4, 2]], 513259487/1472837057091993600], [[[1, 17], [2, 4], [5, 1]], 625357/1369826131968000], [[[1, 17], [2, 4], [6, 2]], 339671/230130790170624000], [[[1, 17], [2, 4], [8, 1]], 3741233/184104632136499200], [[[1, 17], [2, 4], [10, 1]], 2963743/575326975426560000], [[[1, 17], [2, 6], [3, 1]], 133381643/107873807892480000], [[[1, 17], [2, 6], [4, 1]], 17702894099/18410463213649920000], [[[1, 17], [2, 6], [6, 1]], 85325101/1534205267804160000], [[[1, 17], [3, 1], [7, 1]], 37/4280706662400], [[[1, 17], [3, 1], [9, 1]], 1/4280706662400], [[[1, 17], [3, 2], [4, 2]], 11/5707608883200], [[[1, 17], [3, 2], [5, 1]], 19/396361728000], [[[1, 17], [4, 2], [5, 1]], 11/28538044416000], [[[1, 17], [4, 2], [12, 1]], 23/1027369598976000], [[[1, 18], [2, 1], [3, 3]], 48607/1797896798208000], [[[1, 18], [2, 1], [4, 3]], 13427/230130790170624000], [[[1, 18], [2, 1], [7, 1]], 379/299649466368000], [[[1, 18], [2, 3], [3, 2]], 3816517/25570087796736000], [[[1, 18], [2, 3], [4, 2]], 1593953/136373801582592000], [[[1, 18], [2, 3], [5, 1]], 6263687/191775658475520000], [[[1, 18], [2, 3], [6, 2]], 43/1217623228416000], [[[1, 18], [2, 3], [8, 1]], 786127/920523160682496000], [[[1, 18], [2, 3], [10, 1]], 43/338228674560000], [[[1, 18], [2, 5], [3, 1]], 51189359/306841053560832000], [[[1, 18], [2, 5], [4, 1]], 250662397/2630066173378560000], [[[1, 18], [2, 5], [6, 1]], 115427/32875827167232000], [[[1, 19], [2, 2], [3, 2]], 184031/25570087796736000], [[[1, 19], [2, 2], [4, 2]], 72979/409121404747776000], [[[1, 19], [2, 2], [5, 1]], 29149/21308406497280000], [[[1, 19], [2, 2], [6, 2]], 239/690392370511872000], [[[1, 19], [2, 2], [8, 1]], 2497/131503308668928000], [[[1, 19], [2, 2], [10, 1]], 239/191775658475520000], [[[1, 19], [2, 4], [3, 1]], 13443329/920523160682496000], [[[1, 19], [2, 4], [4, 1]], 32553767/5523138964094976000], [[[1, 19], [2, 4], [6, 1]], 6457/49313740750848000], [[[1, 19], [3, 1], [4, 2]], 137/19177565847552000], [[[1, 19], [3, 1], [5, 1]], 319/1498247331840000], [[[1, 19], [4, 1], [8, 1]], 239/306841053560832000], [[[1, 20], [2, 1], [3, 2]], 1987/10958609055744000], [[[1, 20], [2, 1], [4, 2]], 7223/7364185285459968000], [[[1, 20], [2, 1], [5, 1]], 2497/82189567918080000], [[[1, 20], [2, 1], [8, 1]], 157/920523160682496000], [[[1, 20], [2, 3], [3, 1]], 278113/345196185255936000], [[[1, 20], [2, 3], [4, 1]], 1196519/5523138964094976000], [[[1, 20], [2, 3], [6, 1]], 7223/2761569482047488000], [[[1, 21], [2, 2], [3, 1]], 6137/230130790170624000], [[[1, 21], [2, 2], [4, 1]], 78839/18410463213649920000], [[[1, 21], [2, 2], [6, 1]], 59/2761569482047488000], [[[1, 22], [2, 1], [3, 1]], 2203/4602615803412480000], [[[1, 22], [2, 1], [4, 1]], 71/2045607023738880000], [[[2, 1], [4, 4], [8, 4]], 1/3145728], [[[2, 1], [4, 8], [8, 2]], 1/150994944], [[[2, 3], [4, 1], [8, 5]], 1/1048576], [[[2, 3], [4, 5], [8, 3]], 1/4194304], [[[2, 3], [4, 7], [16, 1]], 1/25165824], [[[2, 3], [4, 9], [8, 1]], 1/805306368], [[[2, 5], [4, 2], [8, 4]], 17/25165824], [[[2, 5], [4, 4], [10, 3]], 1/6144000], [[[2, 5], [4, 6], [6, 4]], 1/254803968], [[[2, 5], [4, 6], [8, 2]], 1/25165824], [[[2, 5], [4, 6], [10, 2]], 1/15728640], [[[2, 5], [4, 6], [12, 2]], 1/1179648], [[[2, 5], [4, 8], [6, 2]], 7/5435817984], [[[2, 5], [4, 8], [10, 1]], 7/1509949440], [[[2, 5], [4, 8], [12, 1]], 1/75497472], [[[2, 5], [6, 2], [8, 4]], 1/2359296], [[[2, 5], [8, 2], [10, 3]], 1/128000], [[[2, 5], [8, 4], [10, 1]], 1/655360], [[[2, 7], [4, 3], [8, 3]], 17/141557760], [[[2, 7], [4, 4], [6, 5]], 19/286654464], [[[2, 7], [4, 5], [16, 1]], 91/4529848320], [[[2, 7], [4, 6], [6, 3]], 1/42467328], [[[2, 7], [4, 6], [14, 1]], 1/66060288], [[[2, 7], [4, 7], [8, 1]], 227/108716359680], [[[2, 7], [4, 8], [6, 1]], 25/21743271936], [[[2, 7], [6, 1], [8, 4]], 1/9437184], [[[2, 7], [6, 1], [10, 4]], 1/60000], [[[2, 7], [6, 3], [10, 3]], 1/216000], [[[2, 7], [6, 3], [14, 2]], 1/42336], [[[2, 7], [6, 5], [8, 2]], 1/5971968], [[[2, 7], [10, 3], [14, 1]], 1/28000], [[[2, 9], [4, 2], [6, 6]], 7/71663616], [[[2, 9], [4, 2], [10, 3]], 11/12288000], [[[2, 9], [4, 2], [14, 2]], 1/1204224], [[[2, 9], [4, 4], [6, 4]], 587/9172942848], [[[2, 9], [4, 4], [8, 2]], 107/14092861440], [[[2, 9], [4, 4], [10, 2]], 1303/14155776000], [[[2, 9], [4, 4], [12, 2]], 1/212336640], [[[2, 9], [4, 6], [6, 2]], 91/13589544960], [[[2, 9], [4, 6], [10, 1]], 7/2264924160], [[[2, 9], [4, 6], [12, 1]], 49/13589544960], [[[2, 9], [6, 2], [10, 3]], 1/96000], [[[2, 9], [6, 2], [14, 2]], 1/112896], [[[2, 9], [6, 4], [8, 2]], 29/191102976], [[[2, 9], [6, 4], [10, 2]], 23/6220800], [[[2, 9], [6, 5], [14, 1]], 5/2612736], [[[2, 9], [6, 5], [18, 1]], 1/373248], [[[2, 9], [6, 6], [10, 1]], 1/2799360], [[[2, 9], [8, 2], [10, 2]], 133/294912000], [[[2, 9], [10, 1], [14, 2]], 1/94080], [[[2, 11], [4, 1], [8, 3]], 379/951268147200], [[[2, 11], [4, 2], [6, 5]], 17/318504960], [[[2, 11], [4, 3], [16, 1]], 17/126835752960], [[[2, 11], [4, 4], [6, 3]], 7019/642105999360], [[[2, 11], [4, 4], [14, 1]], 1/424673280], [[[2, 11], [4, 5], [8, 1]], 14873/91321742131200], [[[2, 11], [4, 6], [6, 1]], 481/2283043553280], [[[2, 11], [6, 1], [10, 3]], 53/46080000], [[[2, 11], [6, 1], [14, 2]], 1/1290240], [[[2, 11], [6, 3], [8, 2]], 101/3344302080], [[[2, 11], [6, 3], [10, 2]], 469/248832000], [[[2, 11], [6, 4], [14, 1]], 151/209018880], [[[2, 11], [6, 4], [18, 1]], 11/14929920], [[[2, 11], [6, 5], [10, 1]], 1/1990656], [[[2, 11], [8, 2], [14, 1]], 1/247726080], [[[2, 11], [10, 2], [14, 1]], 53/64512000], [[[2, 13], [4, 2], [6, 4]], 2803/428070666240], [[[2, 13], [4, 2], [8, 2]], 143/3805072588800], [[[2, 13], [4, 2], [10, 2]], 757/396361728000], [[[2, 13], [4, 4], [6, 2]], 70583/205473919795200], [[[2, 13], [4, 4], [10, 1]], 4799/57076088832000], [[[2, 13], [4, 4], [12, 1]], 1/42278584320], [[[2, 13], [6, 2], [8, 2]], 1699/2140353331200], [[[2, 13], [6, 2], [10, 2]], 4429/37158912000], [[[2, 13], [6, 3], [14, 1]], 3191/46820229120], [[[2, 13], [6, 3], [18, 1]], 47/2229534720], [[[2, 13], [6, 4], [10, 1]], 821/8360755200], [[[2, 13], [8, 2], [10, 1]], 127/594542592000], [[[2, 15], [4, 1], [16, 1]], 1/7610145177600], [[[2, 15], [4, 2], [6, 3]], 253/1284211998720], [[[2, 15], [4, 2], [14, 1]], 1/66588770304], [[[2, 15], [4, 3], [8, 1]], 1/1043677052928], [[[2, 15], [4, 4], [6, 1]], 2267/821895679180800], [[[2, 15], [6, 1], [8, 2]], 89/17122826649600], [[[2, 15], [6, 1], [10, 2]], 3497/2229534720000], [[[2, 15], [6, 2], [14, 1]], 67/46820229120], [[[2, 15], [6, 2], [18, 1]], 19/133772083200], [[[2, 15], [6, 3], [10, 1]], 7909/2006581248000], [[[2, 15], [10, 1], [14, 1]], 11/28901376000], [[[2, 17], [4, 2], [6, 2]], 11/5707608883200], [[[2, 17], [4, 2], [10, 1]], 11/28538044416000], [[[2, 17], [4, 2], [12, 1]], 23/1027369598976000], [[[2, 17], [6, 1], [14, 1]], 37/4280706662400], [[[2, 17], [6, 1], [18, 1]], 1/4280706662400], [[[2, 17], [6, 2], [10, 1]], 19/396361728000], [[[2, 19], [4, 1], [8, 1]], 239/306841053560832000], [[[2, 19], [4, 2], [6, 1]], 137/19177565847552000], [[[2, 19], [6, 1], [10, 1]], 319/1498247331840000], [[[1, 1], [2, 2], [4, 1], [8, 5]], 3/1048576], [[[1, 1], [2, 2], [4, 3], [8, 4]], 1/196608], [[[1, 1], [2, 2], [4, 5], [8, 3]], 41/12582912], [[[1, 1], [2, 2], [4, 7], [8, 2]], 11/37748736], [[[1, 1], [2, 2], [4, 7], [16, 1]], 1/8388608], [[[1, 1], [2, 2], [4, 9], [8, 1]], 1/268435456], [[[1, 1], [2, 4], [3, 1], [4, 9]], 1/1207959552], [[[1, 1], [2, 4], [4, 2], [8, 4]], 485/25165824], [[[1, 1], [2, 4], [4, 4], [8, 3]], 169/37748736], [[[1, 1], [2, 4], [4, 4], [10, 3]], 1/6144000], [[[1, 1], [2, 4], [4, 6], [6, 4]], 1/254803968], [[[1, 1], [2, 4], [4, 6], [8, 2]], 11/12582912], [[[1, 1], [2, 4], [4, 6], [10, 2]], 7/78643200], [[[1, 1], [2, 4], [4, 6], [12, 2]], 5/1179648], [[[1, 1], [2, 4], [4, 6], [16, 1]], 101/75497472], [[[1, 1], [2, 4], [4, 7], [6, 3]], 1/127401984], [[[1, 1], [2, 4], [4, 7], [7, 1]], 1/44040192], [[[1, 1], [2, 4], [4, 7], [14, 1]], 1/44040192], [[[1, 1], [2, 4], [4, 8], [6, 2]], 7/1811939328], [[[1, 1], [2, 4], [4, 8], [8, 1]], 449/7247757312], [[[1, 1], [2, 4], [4, 8], [10, 1]], 7/503316480], [[[1, 1], [2, 4], [4, 8], [12, 1]], 5/75497472], [[[1, 1], [2, 4], [4, 9], [6, 1]], 1/1207959552], [[[1, 1], [2, 4], [6, 2], [8, 4]], 1/786432], [[[1, 1], [2, 4], [8, 2], [10, 3]], 1/128000], [[[1, 1], [2, 4], [8, 3], [10, 2]], 3/204800], [[[1, 1], [2, 4], [8, 4], [10, 1]], 3/655360], [[[1, 1], [2, 6], [4, 1], [8, 4]], 27/20971520], [[[1, 1], [2, 6], [4, 1], [10, 4]], 1/80000], [[[1, 1], [2, 6], [4, 3], [8, 3]], 2179/283115520], [[[1, 1], [2, 6], [4, 3], [10, 3]], 29/3072000], [[[1, 1], [2, 6], [4, 3], [14, 2]], 1/200704], [[[1, 1], [2, 6], [4, 4], [6, 5]], 19/286654464], [[[1, 1], [2, 6], [4, 5], [6, 4]], 101/382205952], [[[1, 1], [2, 6], [4, 5], [8, 2]], 47/50331648], [[[1, 1], [2, 6], [4, 5], [10, 2]], 289/117964800], [[[1, 1], [2, 6], [4, 5], [12, 2]], 1/196608], [[[1, 1], [2, 6], [4, 5], [16, 1]], 1381/4529848320], [[[1, 1], [2, 6], [4, 6], [6, 3]], 5/63700992], [[[1, 1], [2, 6], [4, 6], [14, 1]], 1/11010048], [[[1, 1], [2, 6], [4, 7], [5, 1]], 1/188743680], [[[1, 1], [2, 6], [4, 7], [6, 2]], 23/339738624], [[[1, 1], [2, 6], [4, 7], [8, 1]], 6677/108716359680], [[[1, 1], [2, 6], [4, 7], [10, 1]], 107/566231040], [[[1, 1], [2, 6], [4, 7], [12, 1]], 1/2359296], [[[1, 1], [2, 6], [4, 8], [6, 1]], 17/2415919104], [[[1, 1], [2, 6], [6, 1], [8, 4]], 1/1048576], [[[1, 1], [2, 6], [6, 1], [10, 4]], 1/60000], [[[1, 1], [2, 6], [6, 3], [8, 3]], 1/663552], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/216000], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/42336], [[[1, 1], [2, 6], [6, 5], [8, 2]], 1/5971968], [[[1, 1], [2, 6], [8, 3], [14, 1]], 1/172032], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/28000], [[[1, 1], [2, 8], [3, 1], [4, 7]], 119/163074539520], [[[1, 1], [2, 8], [4, 2], [6, 6]], 13/71663616], [[[1, 1], [2, 8], [4, 2], [8, 3]], 103/220200960], [[[1, 1], [2, 8], [4, 2], [10, 3]], 29/4096000], [[[1, 1], [2, 8], [4, 2], [14, 2]], 3/401408], [[[1, 1], [2, 8], [4, 3], [6, 5]], 137/143327232], [[[1, 1], [2, 8], [4, 4], [6, 4]], 3407/9172942848], [[[1, 1], [2, 8], [4, 4], [8, 2]], 99887/126835752960], [[[1, 1], [2, 8], [4, 4], [10, 2]], 13873/14155776000], [[[1, 1], [2, 8], [4, 4], [12, 2]], 11/70778880], [[[1, 1], [2, 8], [4, 4], [16, 1]], 187/905969664], [[[1, 1], [2, 8], [4, 5], [6, 3]], 1553/3057647616], [[[1, 1], [2, 8], [4, 5], [7, 1]], 13/1132462080], [[[1, 1], [2, 8], [4, 5], [14, 1]], 419/880803840], [[[1, 1], [2, 8], [4, 6], [6, 2]], 881/13589544960], [[[1, 1], [2, 8], [4, 6], [8, 1]], 46763/761014517760], [[[1, 1], [2, 8], [4, 6], [10, 1]], 509/11324620800], [[[1, 1], [2, 8], [4, 6], [12, 1]], 299/4529848320], [[[1, 1], [2, 8], [4, 7], [6, 1]], 763/18119393280], [[[1, 1], [2, 8], [5, 1], [8, 3]], 1/235929600], [[[1, 1], [2, 8], [5, 1], [10, 3]], 1/48000], [[[1, 1], [2, 8], [6, 2], [8, 3]], 43/70778880], [[[1, 1], [2, 8], [6, 2], [10, 3]], 11/288000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 1/16128], [[[1, 1], [2, 8], [6, 4], [8, 2]], 185/191102976], [[[1, 1], [2, 8], [6, 4], [10, 2]], 53/6220800], [[[1, 1], [2, 8], [6, 4], [16, 1]], 1/663552], [[[1, 1], [2, 8], [6, 5], [14, 1]], 11/2612736], [[[1, 1], [2, 8], [6, 5], [18, 1]], 1/124416], [[[1, 1], [2, 8], [6, 6], [8, 1]], 1/4478976], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/2799360], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/192000], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/150528], [[[1, 1], [2, 8], [8, 2], [10, 2]], 1363/294912000], [[[1, 1], [2, 8], [8, 2], [16, 1]], 1/94371840], [[[1, 1], [2, 8], [8, 3], [10, 1]], 133/235929600], [[[1, 1], [2, 8], [10, 1], [14, 2]], 1/13440], [[[1, 1], [2, 8], [10, 2], [16, 1]], 1/153600], [[[1, 1], [2, 10], [3, 1], [6, 6]], 5/4478976], [[[1, 1], [2, 10], [3, 1], [8, 3]], 1/849346560], [[[1, 1], [2, 10], [4, 1], [6, 6]], 7/11943936], [[[1, 1], [2, 10], [4, 1], [8, 3]], 24049/951268147200], [[[1, 1], [2, 10], [4, 1], [10, 3]], 91/20480000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 47/12042240], [[[1, 1], [2, 10], [4, 2], [6, 5]], 431/955514880], [[[1, 1], [2, 10], [4, 3], [6, 4]], 8443/11466178560], [[[1, 1], [2, 10], [4, 3], [8, 2]], 2969/63417876480], [[[1, 1], [2, 10], [4, 3], [10, 2]], 3671/3538944000], [[[1, 1], [2, 10], [4, 3], [12, 2]], 1/159252480], [[[1, 1], [2, 10], [4, 3], [16, 1]], 779/126835752960], [[[1, 1], [2, 10], [4, 4], [6, 3]], 98033/642105999360], [[[1, 1], [2, 10], [4, 4], [14, 1]], 131/2378170368], [[[1, 1], [2, 10], [4, 5], [5, 1]], 7/8493465600], [[[1, 1], [2, 10], [4, 5], [6, 2]], 35747/285380444160], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1442003/91321742131200], [[[1, 1], [2, 10], [4, 5], [10, 1]], 541/8808038400], [[[1, 1], [2, 10], [4, 5], [12, 1]], 2521/71345111040], [[[1, 1], [2, 10], [4, 6], [6, 1]], 11257/2283043553280], [[[1, 1], [2, 10], [6, 1], [8, 3]], 53/1981808640], [[[1, 1], [2, 10], [6, 1], [10, 3]], 583/46080000], [[[1, 1], [2, 10], [6, 1], [14, 2]], 97/9031680], [[[1, 1], [2, 10], [6, 3], [8, 2]], 67/167215104], [[[1, 1], [2, 10], [6, 3], [10, 2]], 3649/248832000], [[[1, 1], [2, 10], [6, 3], [16, 1]], 11/26542080], [[[1, 1], [2, 10], [6, 4], [14, 1]], 1411/209018880], [[[1, 1], [2, 10], [6, 4], [18, 1]], 37/4976640], [[[1, 1], [2, 10], [6, 5], [8, 1]], 5/15925248], [[[1, 1], [2, 10], [6, 5], [10, 1]], 83/29859840], [[[1, 1], [2, 10], [8, 2], [14, 1]], 17/123863040], [[[1, 1], [2, 10], [10, 2], [14, 1]], 803/64512000], [[[1, 1], [2, 10], [14, 1], [16, 1]], 1/20643840], [[[1, 1], [2, 12], [3, 1], [4, 5]], 4289/136982613196800], [[[1, 1], [2, 12], [3, 1], [6, 5]], 221/716636160], [[[1, 1], [2, 12], [4, 1], [6, 5]], 263/955514880], [[[1, 1], [2, 12], [4, 2], [6, 4]], 17417/142690222080], [[[1, 1], [2, 12], [4, 2], [8, 2]], 2089/422785843200], [[[1, 1], [2, 12], [4, 2], [10, 2]], 3577/56623104000], [[[1, 1], [2, 12], [4, 2], [16, 1]], 463/634178764800], [[[1, 1], [2, 12], [4, 3], [6, 3]], 36817/321052999680], [[[1, 1], [2, 12], [4, 3], [7, 1]], 17/221962567680], [[[1, 1], [2, 12], [4, 3], [14, 1]], 15187/665887703040], [[[1, 1], [2, 12], [4, 4], [6, 2]], 2095133/205473919795200], [[[1, 1], [2, 12], [4, 4], [8, 1]], 153469/91321742131200], [[[1, 1], [2, 12], [4, 4], [10, 1]], 26867/8153726976000], [[[1, 1], [2, 12], [4, 4], [12, 1]], 6571/5707608883200], [[[1, 1], [2, 12], [4, 5], [6, 1]], 496073/136982613196800], [[[1, 1], [2, 12], [5, 1], [10, 2]], 31/3096576000], [[[1, 1], [2, 12], [6, 2], [8, 2]], 53449/2140353331200], [[[1, 1], [2, 12], [6, 2], [10, 2]], 85573/37158912000], [[[1, 1], [2, 12], [6, 2], [16, 1]], 47/3963617280], [[[1, 1], [2, 12], [6, 3], [14, 1]], 60479/46820229120], [[[1, 1], [2, 12], [6, 3], [18, 1]], 89/148635648], [[[1, 1], [2, 12], [6, 4], [8, 1]], 821/13377208320], [[[1, 1], [2, 12], [6, 4], [10, 1]], 11671/8360755200], [[[1, 1], [2, 12], [8, 1], [10, 2]], 367/16515072000], [[[1, 1], [2, 12], [8, 2], [10, 1]], 5317/594542592000], [[[1, 1], [2, 12], [10, 1], [16, 1]], 31/9909043200], [[[1, 1], [2, 14], [3, 1], [6, 4]], 5/286654464], [[[1, 1], [2, 14], [4, 1], [6, 4]], 6631/214035333120], [[[1, 1], [2, 14], [4, 1], [8, 2]], 211/3805072588800], [[[1, 1], [2, 14], [4, 1], [10, 2]], 26207/2972712960000], [[[1, 1], [2, 14], [4, 1], [16, 1]], 29/2536715059200], [[[1, 1], [2, 14], [4, 2], [6, 3]], 9193/1284211998720], [[[1, 1], [2, 14], [4, 2], [14, 1]], 223/277453209600], [[[1, 1], [2, 14], [4, 3], [5, 1]], 1/190253629440], [[[1, 1], [2, 14], [4, 3], [6, 2]], 683/200658124800], [[[1, 1], [2, 14], [4, 3], [8, 1]], 23489/182643484262400], [[[1, 1], [2, 14], [4, 3], [10, 1]], 3971/4756340736000], [[[1, 1], [2, 14], [4, 3], [12, 1]], 487/4280706662400], [[[1, 1], [2, 14], [4, 4], [6, 1]], 119531/821895679180800], [[[1, 1], [2, 14], [6, 1], [8, 2]], 5069/17122826649600], [[[1, 1], [2, 14], [6, 1], [10, 2]], 133487/2229534720000], [[[1, 1], [2, 14], [6, 1], [16, 1]], 19/237817036800], [[[1, 1], [2, 14], [6, 2], [14, 1]], 713/13377208320], [[[1, 1], [2, 14], [6, 2], [18, 1]], 49/6370099200], [[[1, 1], [2, 14], [6, 3], [8, 1]], 7909/3210529996800], [[[1, 1], [2, 14], [6, 3], [10, 1]], 238969/2006581248000], [[[1, 1], [2, 14], [8, 1], [14, 1]], 11/46242201600], [[[1, 1], [2, 14], [10, 1], [14, 1]], 73/4128768000], [[[1, 1], [2, 16], [3, 1], [4, 3]], 43/273965226393600], [[[1, 1], [2, 16], [3, 1], [6, 3]], 1769/6421059993600], [[[1, 1], [2, 16], [4, 1], [6, 3]], 1097/1223059046400], [[[1, 1], [2, 16], [4, 1], [7, 1]], 1/13317754060800], [[[1, 1], [2, 16], [4, 1], [14, 1]], 2659/39953262182400], [[[1, 1], [2, 16], [4, 2], [6, 2]], 143/1223059046400], [[[1, 1], [2, 16], [4, 2], [8, 1]], 28687/6392521949184000], [[[1, 1], [2, 16], [4, 2], [10, 1]], 757/28538044416000], [[[1, 1], [2, 16], [4, 2], [12, 1]], 2063/1027369598976000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 21677/821895679180800], [[[1, 1], [2, 16], [5, 1], [8, 1]], 1/19025362944000], [[[1, 1], [2, 16], [5, 1], [10, 1]], 1/2378170368000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 16117/29964946636800], [[[1, 1], [2, 16], [6, 1], [18, 1]], 29/1426902220800], [[[1, 1], [2, 16], [6, 2], [8, 1]], 19/634178764800], [[[1, 1], [2, 16], [6, 2], [10, 1]], 26981/10701766656000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 383/57076088832000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 653/449474199552000], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/256842399744000], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/214035333120000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 20591/2397195730944000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 6427/43834436222976000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 1133/665887703040000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/128421199872000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 4043/6392521949184000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 319/2397195730944000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 3133/187280916480000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 157/1380784741023744000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 239/115065395085312000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 961/30684105356083200], [[[1, 1], [4, 2], [8, 3], [16, 1]], 1/65536], [[[1, 1], [4, 2], [8, 4], [12, 1]], 1/98304], [[[1, 1], [4, 4], [8, 2], [12, 2]], 1/36864], [[[1, 1], [4, 6], [8, 1], [16, 1]], 1/3145728], [[[1, 1], [4, 6], [8, 2], [12, 1]], 5/4718592], [[[1, 2], [2, 1], [4, 1], [8, 5]], 3/1048576], [[[1, 2], [2, 1], [4, 3], [8, 4]], 1/196608], [[[1, 2], [2, 1], [4, 5], [8, 3]], 41/12582912], [[[1, 2], [2, 1], [4, 7], [8, 2]], 11/37748736], [[[1, 2], [2, 1], [4, 7], [16, 1]], 1/8388608], [[[1, 2], [2, 1], [4, 9], [8, 1]], 1/268435456], [[[1, 2], [2, 3], [3, 1], [4, 9]], 1/402653184], [[[1, 2], [2, 3], [3, 2], [4, 8]], 23/5435817984], [[[1, 2], [2, 3], [3, 2], [8, 4]], 1/2359296], [[[1, 2], [2, 3], [4, 2], [8, 4]], 263/4194304], [[[1, 2], [2, 3], [4, 4], [8, 3]], 2059/37748736], [[[1, 2], [2, 3], [4, 6], [5, 2]], 1/78643200], [[[1, 2], [2, 3], [4, 6], [8, 2]], 467/75497472], [[[1, 2], [2, 3], [4, 6], [10, 2]], 1/26214400], [[[1, 2], [2, 3], [4, 6], [12, 2]], 5/589824], [[[1, 2], [2, 3], [4, 6], [16, 1]], 311/75497472], [[[1, 2], [2, 3], [4, 7], [6, 3]], 1/127401984], [[[1, 2], [2, 3], [4, 7], [7, 1]], 1/14680064], [[[1, 2], [2, 3], [4, 7], [14, 1]], 1/14680064], [[[1, 2], [2, 3], [4, 8], [5, 1]], 7/1509949440], [[[1, 2], [2, 3], [4, 8], [6, 2]], 37/5435817984], [[[1, 2], [2, 3], [4, 8], [8, 1]], 1379/7247757312], [[[1, 2], [2, 3], [4, 8], [10, 1]], 7/503316480], [[[1, 2], [2, 3], [4, 8], [12, 1]], 5/37748736], [[[1, 2], [2, 3], [4, 9], [6, 1]], 1/402653184], [[[1, 2], [2, 3], [5, 1], [8, 4]], 1/131072], [[[1, 2], [2, 3], [6, 2], [8, 4]], 1/786432], [[[1, 2], [2, 3], [8, 3], [10, 2]], 3/204800], [[[1, 2], [2, 3], [8, 3], [16, 1]], 1/65536], [[[1, 2], [2, 3], [8, 4], [10, 1]], 7/655360], [[[1, 2], [2, 5], [3, 1], [4, 8]], 895/21743271936], [[[1, 2], [2, 5], [3, 1], [8, 4]], 19/9437184], [[[1, 2], [2, 5], [4, 1], [8, 4]], 1481/62914560], [[[1, 2], [2, 5], [4, 1], [10, 4]], 1/80000], [[[1, 2], [2, 5], [4, 3], [8, 3]], 121/1048576], [[[1, 2], [2, 5], [4, 3], [10, 3]], 7/614400], [[[1, 2], [2, 5], [4, 3], [14, 2]], 3/200704], [[[1, 2], [2, 5], [4, 5], [6, 4]], 101/382205952], [[[1, 2], [2, 5], [4, 5], [8, 2]], 3145/150994944], [[[1, 2], [2, 5], [4, 5], [10, 2]], 487/117964800], [[[1, 2], [2, 5], [4, 5], [12, 2]], 17/589824], [[[1, 2], [2, 5], [4, 5], [16, 1]], 3469/301989888], [[[1, 2], [2, 5], [4, 6], [6, 3]], 13/31850496], [[[1, 2], [2, 5], [4, 6], [7, 1]], 101/132120576], [[[1, 2], [2, 5], [4, 6], [14, 1]], 125/132120576], [[[1, 2], [2, 5], [4, 7], [5, 1]], 1/31457280], [[[1, 2], [2, 5], [4, 7], [6, 2]], 73/339738624], [[[1, 2], [2, 5], [4, 7], [8, 1]], 3047/2415919104], [[[1, 2], [2, 5], [4, 7], [10, 1]], 169/283115520], [[[1, 2], [2, 5], [4, 7], [12, 1]], 83/37748736], [[[1, 2], [2, 5], [4, 8], [6, 1]], 301/5435817984], [[[1, 2], [2, 5], [6, 1], [8, 4]], 1/196608], [[[1, 2], [2, 5], [6, 3], [8, 3]], 5/1327104], [[[1, 2], [2, 5], [7, 1], [10, 3]], 1/28000], [[[1, 2], [2, 5], [8, 3], [14, 1]], 1/43008], [[[1, 2], [2, 7], [3, 1], [4, 7]], 1673/163074539520], [[[1, 2], [2, 7], [3, 2], [4, 6]], 299/40768634880], [[[1, 2], [2, 7], [3, 2], [10, 3]], 1/432000], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/338688], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/7962624], [[[1, 2], [2, 7], [4, 2], [8, 3]], 4387/220200960], [[[1, 2], [2, 7], [4, 2], [10, 3]], 319/6144000], [[[1, 2], [2, 7], [4, 2], [14, 2]], 13/301056], [[[1, 2], [2, 7], [4, 3], [6, 5]], 179/143327232], [[[1, 2], [2, 7], [4, 4], [5, 2]], 1531/14155776000], [[[1, 2], [2, 7], [4, 4], [6, 4]], 5087/1528823808], [[[1, 2], [2, 7], [4, 4], [8, 2]], 21217/1132462080], [[[1, 2], [2, 7], [4, 4], [10, 2]], 6847/314572800], [[[1, 2], [2, 7], [4, 4], [12, 2]], 367/53084160], [[[1, 2], [2, 7], [4, 4], [16, 1]], 15017/4529848320], [[[1, 2], [2, 7], [4, 5], [6, 3]], 6365/3057647616], [[[1, 2], [2, 7], [4, 5], [7, 1]], 1381/7927234560], [[[1, 2], [2, 7], [4, 5], [14, 1]], 8167/2642411520], [[[1, 2], [2, 7], [4, 6], [5, 1]], 631/3774873600], [[[1, 2], [2, 7], [4, 6], [6, 2]], 3299/2717908992], [[[1, 2], [2, 7], [4, 6], [8, 1]], 288073/152202903552], [[[1, 2], [2, 7], [4, 6], [10, 1]], 27451/11324620800], [[[1, 2], [2, 7], [4, 6], [12, 1]], 5699/1698693120], [[[1, 2], [2, 7], [4, 7], [6, 1]], 14999/54358179840], [[[1, 2], [2, 7], [5, 1], [8, 3]], 31/235929600], [[[1, 2], [2, 7], [5, 1], [10, 3]], 37/240000], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/94080], [[[1, 2], [2, 7], [5, 2], [6, 4]], 1/2073600], [[[1, 2], [2, 7], [5, 2], [8, 2]], 1/294912000], [[[1, 2], [2, 7], [5, 2], [10, 2]], 1/480000], [[[1, 2], [2, 7], [6, 2], [8, 3]], 343/70778880], [[[1, 2], [2, 7], [6, 2], [10, 3]], 1/24000], [[[1, 2], [2, 7], [6, 2], [14, 2]], 1/12544], [[[1, 2], [2, 7], [6, 4], [8, 2]], 97/31850496], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/138240], [[[1, 2], [2, 7], [6, 4], [16, 1]], 1/221184], [[[1, 2], [2, 7], [6, 5], [7, 1]], 1/1306368], [[[1, 2], [2, 7], [6, 5], [14, 1]], 1/290304], [[[1, 2], [2, 7], [6, 5], [18, 1]], 1/124416], [[[1, 2], [2, 7], [6, 6], [8, 1]], 1/4478976], [[[1, 2], [2, 7], [8, 1], [10, 3]], 7/192000], [[[1, 2], [2, 7], [8, 1], [14, 2]], 1/21504], [[[1, 2], [2, 7], [8, 2], [10, 2]], 359/19660800], [[[1, 2], [2, 7], [8, 2], [16, 1]], 31/94371840], [[[1, 2], [2, 7], [8, 3], [10, 1]], 1363/235929600], [[[1, 2], [2, 7], [10, 1], [14, 2]], 3/31360], [[[1, 2], [2, 7], [10, 2], [16, 1]], 7/153600], [[[1, 2], [2, 9], [3, 1], [4, 6]], 45919/2283043553280], [[[1, 2], [2, 9], [3, 1], [6, 6]], 97/26873856], [[[1, 2], [2, 9], [3, 1], [8, 3]], 17/424673280], [[[1, 2], [2, 9], [3, 1], [10, 3]], 11/4608000], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/451584], [[[1, 2], [2, 9], [3, 2], [6, 5]], 257/26873856], [[[1, 2], [2, 9], [4, 1], [6, 6]], 47/35831808], [[[1, 2], [2, 9], [4, 1], [8, 3]], 14569/21139292160], [[[1, 2], [2, 9], [4, 1], [10, 3]], 2323/61440000], [[[1, 2], [2, 9], [4, 1], [14, 2]], 457/12042240], [[[1, 2], [2, 9], [4, 2], [6, 5]], 137/31850496], [[[1, 2], [2, 9], [4, 3], [6, 4]], 54343/11466178560], [[[1, 2], [2, 9], [4, 3], [8, 2]], 38159/9059696640], [[[1, 2], [2, 9], [4, 3], [10, 2]], 1637/141557760], [[[1, 2], [2, 9], [4, 3], [12, 2]], 17/79626240], [[[1, 2], [2, 9], [4, 3], [16, 1]], 89791/126835752960], [[[1, 2], [2, 9], [4, 4], [6, 3]], 121373/30576476160], [[[1, 2], [2, 9], [4, 4], [7, 1]], 893/7927234560], [[[1, 2], [2, 9], [4, 4], [14, 1]], 27371/7927234560], [[[1, 2], [2, 9], [4, 5], [5, 1]], 131/6794772480], [[[1, 2], [2, 9], [4, 5], [6, 2]], 366833/285380444160], [[[1, 2], [2, 9], [4, 5], [8, 1]], 12635/19327352832], [[[1, 2], [2, 9], [4, 5], [10, 1]], 36031/39636172800], [[[1, 2], [2, 9], [4, 5], [12, 1]], 98951/142690222080], [[[1, 2], [2, 9], [4, 6], [6, 1]], 25331/54358179840], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/1492992], [[[1, 2], [2, 9], [5, 2], [6, 3]], 11/82944000], [[[1, 2], [2, 9], [5, 2], [14, 1]], 1/64512000], [[[1, 2], [2, 9], [6, 1], [8, 3]], 499/990904320], [[[1, 2], [2, 9], [6, 1], [10, 3]], 43/1024000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 29/602112], [[[1, 2], [2, 9], [6, 3], [8, 2]], 163/63700992], [[[1, 2], [2, 9], [6, 3], [10, 2]], 11/307200], [[[1, 2], [2, 9], [6, 3], [16, 1]], 37/8847360], [[[1, 2], [2, 9], [6, 4], [7, 1]], 29/41803776], [[[1, 2], [2, 9], [6, 4], [14, 1]], 13/774144], [[[1, 2], [2, 9], [6, 4], [18, 1]], 11/497664], [[[1, 2], [2, 9], [6, 5], [8, 1]], 83/47775744], [[[1, 2], [2, 9], [6, 5], [10, 1]], 23/4976640], [[[1, 2], [2, 9], [7, 1], [8, 2]], 1/165150720], [[[1, 2], [2, 9], [7, 1], [10, 2]], 19/9216000], [[[1, 2], [2, 9], [8, 2], [14, 1]], 53/33030144], [[[1, 2], [2, 9], [10, 2], [14, 1]], 11/204800], [[[1, 2], [2, 9], [14, 1], [16, 1]], 31/20643840], [[[1, 2], [2, 11], [3, 1], [4, 5]], 164699/136982613196800], [[[1, 2], [2, 11], [3, 1], [6, 5]], 851/238878720], [[[1, 2], [2, 11], [3, 2], [4, 4]], 10649/29353417113600], [[[1, 2], [2, 11], [3, 2], [6, 4]], 6593/4299816960], [[[1, 2], [2, 11], [3, 2], [8, 2]], 1219/2140353331200], [[[1, 2], [2, 11], [3, 2], [10, 2]], 1037/37158912000], [[[1, 2], [2, 11], [4, 1], [6, 5]], 2393/955514880], [[[1, 2], [2, 11], [4, 2], [5, 2]], 241/396361728000], [[[1, 2], [2, 11], [4, 2], [6, 4]], 14089/5096079360], [[[1, 2], [2, 11], [4, 2], [8, 2]], 45481/190253629440], [[[1, 2], [2, 11], [4, 2], [10, 2]], 141959/44040192000], [[[1, 2], [2, 11], [4, 2], [12, 2]], 1/637009920], [[[1, 2], [2, 11], [4, 2], [16, 1]], 21533/634178764800], [[[1, 2], [2, 11], [4, 3], [6, 3]], 537457/321052999680], [[[1, 2], [2, 11], [4, 3], [7, 1]], 779/221962567680], [[[1, 2], [2, 11], [4, 3], [14, 1]], 375457/665887703040], [[[1, 2], [2, 11], [4, 4], [5, 1]], 469463/57076088832000], [[[1, 2], [2, 11], [4, 4], [6, 2]], 722665/913217421312], [[[1, 2], [2, 11], [4, 4], [8, 1]], 14224639/91321742131200], [[[1, 2], [2, 11], [4, 4], [10, 1]], 481877/1268357529600], [[[1, 2], [2, 11], [4, 4], [12, 1]], 316597/2853804441600], [[[1, 2], [2, 11], [4, 5], [6, 1]], 12062243/136982613196800], [[[1, 2], [2, 11], [5, 1], [6, 4]], 221/1194393600], [[[1, 2], [2, 11], [5, 1], [8, 2]], 211/148635648000], [[[1, 2], [2, 11], [5, 1], [10, 2]], 15181/30965760000], [[[1, 2], [2, 11], [5, 2], [6, 2]], 47/12386304000], [[[1, 2], [2, 11], [5, 2], [10, 1]], 31/30965760000], [[[1, 2], [2, 11], [6, 2], [8, 2]], 2857/9512681472], [[[1, 2], [2, 11], [6, 2], [10, 2]], 2113/147456000], [[[1, 2], [2, 11], [6, 2], [16, 1]], 89/264241152], [[[1, 2], [2, 11], [6, 3], [7, 1]], 101/731566080], [[[1, 2], [2, 11], [6, 3], [14, 1]], 517/61931520], [[[1, 2], [2, 11], [6, 3], [18, 1]], 133/26542080], [[[1, 2], [2, 11], [6, 4], [8, 1]], 11671/13377208320], [[[1, 2], [2, 11], [6, 4], [10, 1]], 511/79626240], [[[1, 2], [2, 11], [7, 1], [14, 1]], 1/54190080], [[[1, 2], [2, 11], [8, 1], [10, 2]], 10279/16515072000], [[[1, 2], [2, 11], [8, 1], [16, 1]], 31/15854469120], [[[1, 2], [2, 11], [8, 2], [10, 1]], 2711/19818086400], [[[1, 2], [2, 11], [10, 1], [16, 1]], 1207/9909043200], [[[1, 2], [2, 13], [3, 1], [4, 4]], 30661/91321742131200], [[[1, 2], [2, 13], [3, 1], [6, 4]], 71779/160526499840], [[[1, 2], [2, 13], [3, 1], [8, 2]], 59/634178764800], [[[1, 2], [2, 13], [3, 1], [10, 2]], 757/148635648000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 5399/120394874880], [[[1, 2], [2, 13], [3, 2], [14, 1]], 323/936404582400], [[[1, 2], [2, 13], [4, 1], [6, 4]], 683/1132462080], [[[1, 2], [2, 13], [4, 1], [8, 2]], 14687/3805072588800], [[[1, 2], [2, 13], [4, 1], [10, 2]], 884657/2972712960000], [[[1, 2], [2, 13], [4, 1], [16, 1]], 491/507343011840], [[[1, 2], [2, 13], [4, 2], [6, 3]], 10559/28538044416], [[[1, 2], [2, 13], [4, 2], [7, 1]], 47/123312537600], [[[1, 2], [2, 13], [4, 2], [14, 1]], 2813/41104179200], [[[1, 2], [2, 13], [4, 3], [5, 1]], 223/792723456000], [[[1, 2], [2, 13], [4, 3], [6, 2]], 41761/401316249600], [[[1, 2], [2, 13], [4, 3], [8, 1]], 552457/60881161420800], [[[1, 2], [2, 13], [4, 3], [10, 1]], 3979/118908518400], [[[1, 2], [2, 13], [4, 3], [12, 1]], 48509/8561413324800], [[[1, 2], [2, 13], [4, 4], [6, 1]], 730979/34245653299200], [[[1, 2], [2, 13], [5, 1], [6, 3]], 1/95551488], [[[1, 2], [2, 13], [5, 1], [14, 1]], 323/260112384000], [[[1, 2], [2, 13], [5, 2], [6, 1]], 19/743178240000], [[[1, 2], [2, 13], [6, 1], [8, 2]], 3779/570760888320], [[[1, 2], [2, 13], [6, 1], [10, 2]], 5587/7077888000], [[[1, 2], [2, 13], [6, 1], [16, 1]], 49/11324620800], [[[1, 2], [2, 13], [6, 2], [7, 1]], 1699/468202291200], [[[1, 2], [2, 13], [6, 2], [14, 1]], 14387/20808990720], [[[1, 2], [2, 13], [6, 2], [18, 1]], 1277/8918138880], [[[1, 2], [2, 13], [6, 3], [8, 1]], 238969/3210529996800], [[[1, 2], [2, 13], [6, 3], [10, 1]], 3007/2477260800], [[[1, 2], [2, 13], [7, 1], [10, 1]], 127/130056192000], [[[1, 2], [2, 13], [8, 1], [14, 1]], 73/6606028800], [[[1, 2], [2, 13], [10, 1], [14, 1]], 277/963379200], [[[1, 2], [2, 15], [3, 1], [4, 3]], 2941/273965226393600], [[[1, 2], [2, 15], [3, 1], [6, 3]], 247063/19263179980800], [[[1, 2], [2, 15], [3, 1], [7, 1]], 1/9988315545600], [[[1, 2], [2, 15], [3, 1], [9, 1]], 1/4280706662400], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/24970788864], [[[1, 2], [2, 15], [3, 2], [4, 2]], 139/102736959897600], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1927/7705271992320], [[[1, 2], [2, 15], [3, 2], [10, 1]], 367/32105299968000], [[[1, 2], [2, 15], [4, 1], [6, 3]], 856817/25684239974400], [[[1, 2], [2, 15], [4, 1], [7, 1]], 29/4439251353600], [[[1, 2], [2, 15], [4, 1], [14, 1]], 28913/7990652436480], [[[1, 2], [2, 15], [4, 2], [5, 1]], 59/2378170368000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 859/81537269760], [[[1, 2], [2, 15], [4, 2], [8, 1]], 3778657/6392521949184000], [[[1, 2], [2, 15], [4, 2], [10, 1]], 75163/28538044416000], [[[1, 2], [2, 15], [4, 2], [12, 1]], 1837/17122826649600], [[[1, 2], [2, 15], [4, 3], [6, 1]], 1165379/821895679180800], [[[1, 2], [2, 15], [5, 1], [6, 2]], 1769/10701766656000], [[[1, 2], [2, 15], [5, 1], [8, 1]], 29/6341787648000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 2773/35672555520000], [[[1, 2], [2, 15], [6, 1], [7, 1]], 89/3745618329600], [[[1, 2], [2, 15], [6, 1], [14, 1]], 4607/369937612800], [[[1, 2], [2, 15], [6, 1], [18, 1]], 943/1426902220800], [[[1, 2], [2, 15], [6, 2], [8, 1]], 26981/17122826649600], [[[1, 2], [2, 15], [6, 2], [10, 1]], 86207/1783627776000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 22961/57076088832000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 42517/57532697542656000], [[[1, 2], [2, 17], [3, 1], [5, 1]], 23/1284211998720000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 1769/16647192576000], [[[1, 2], [2, 17], [3, 1], [8, 1]], 379/1027369598976000], [[[1, 2], [2, 17], [3, 1], [10, 1]], 11/10701766656000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 653/2696845197312000], [[[1, 2], [2, 17], [4, 1], [5, 1]], 379/856141332480000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 1266941/2397195730944000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 3160949/306841053560832000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 823/6936330240000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 379/513684799488000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 37381/456608710656000], [[[1, 2], [2, 17], [5, 1], [6, 1]], 653/749123665920000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 3133/299649466368000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 14671/28538044416000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 2497/197254963003392000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 26573/115065395085312000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 28657/10228035118694400], [[[1, 3], [2, 2], [3, 1], [4, 9]], 1/402653184], [[[1, 3], [2, 2], [3, 2], [4, 8]], 37/5435817984], [[[1, 3], [2, 2], [3, 2], [8, 4]], 1/786432], [[[1, 3], [2, 2], [3, 3], [4, 7]], 1/127401984], [[[1, 3], [2, 2], [4, 2], [8, 4]], 263/4194304], [[[1, 3], [2, 2], [4, 4], [8, 3]], 2059/37748736], [[[1, 3], [2, 2], [4, 6], [5, 2]], 1/26214400], [[[1, 3], [2, 2], [4, 6], [8, 2]], 467/75497472], [[[1, 3], [2, 2], [4, 6], [10, 2]], 1/78643200], [[[1, 3], [2, 2], [4, 6], [12, 2]], 5/589824], [[[1, 3], [2, 2], [4, 6], [16, 1]], 311/75497472], [[[1, 3], [2, 2], [4, 7], [7, 1]], 1/14680064], [[[1, 3], [2, 2], [4, 7], [14, 1]], 1/14680064], [[[1, 3], [2, 2], [4, 8], [5, 1]], 7/503316480], [[[1, 3], [2, 2], [4, 8], [6, 2]], 23/5435817984], [[[1, 3], [2, 2], [4, 8], [8, 1]], 1379/7247757312], [[[1, 3], [2, 2], [4, 8], [10, 1]], 7/1509949440], [[[1, 3], [2, 2], [4, 8], [12, 1]], 5/37748736], [[[1, 3], [2, 2], [4, 9], [6, 1]], 1/402653184], [[[1, 3], [2, 2], [5, 1], [8, 4]], 7/655360], [[[1, 3], [2, 2], [5, 2], [8, 3]], 3/204800], [[[1, 3], [2, 2], [6, 2], [8, 4]], 1/2359296], [[[1, 3], [2, 2], [8, 3], [16, 1]], 1/65536], [[[1, 3], [2, 2], [8, 4], [10, 1]], 1/131072], [[[1, 3], [2, 4], [3, 1], [4, 8]], 2827/21743271936], [[[1, 3], [2, 4], [3, 1], [8, 4]], 79/9437184], [[[1, 3], [2, 4], [3, 2], [4, 7]], 193/1019215872], [[[1, 3], [2, 4], [3, 3], [8, 3]], 1/1327104], [[[1, 3], [2, 4], [4, 1], [8, 4]], 1285/18874368], [[[1, 3], [2, 4], [4, 3], [5, 3]], 1/1024000], [[[1, 3], [2, 4], [4, 3], [7, 2]], 1/200704], [[[1, 3], [2, 4], [4, 3], [8, 3]], 799/2097152], [[[1, 3], [2, 4], [4, 3], [10, 3]], 3/1024000], [[[1, 3], [2, 4], [4, 3], [14, 2]], 3/200704], [[[1, 3], [2, 4], [4, 5], [5, 2]], 31/39321600], [[[1, 3], [2, 4], [4, 5], [8, 2]], 16841/226492416], [[[1, 3], [2, 4], [4, 5], [10, 2]], 97/39321600], [[[1, 3], [2, 4], [4, 5], [12, 2]], 1/16384], [[[1, 3], [2, 4], [4, 5], [16, 1]], 10915/301989888], [[[1, 3], [2, 4], [4, 6], [6, 3]], 5/14155776], [[[1, 3], [2, 4], [4, 6], [7, 1]], 317/132120576], [[[1, 3], [2, 4], [4, 6], [14, 1]], 331/132120576], [[[1, 3], [2, 4], [4, 7], [5, 1]], 143/566231040], [[[1, 3], [2, 4], [4, 7], [6, 2]], 343/1019215872], [[[1, 3], [2, 4], [4, 7], [8, 1]], 8881/2415919104], [[[1, 3], [2, 4], [4, 7], [10, 1]], 359/566231040], [[[1, 3], [2, 4], [4, 7], [12, 1]], 169/37748736], [[[1, 3], [2, 4], [4, 8], [6, 1]], 47/339738624], [[[1, 3], [2, 4], [6, 1], [8, 4]], 25/2359296], [[[1, 3], [2, 4], [6, 3], [8, 3]], 1/331776], [[[1, 3], [2, 4], [7, 1], [8, 3]], 1/114688], [[[1, 3], [2, 4], [7, 1], [10, 3]], 1/28000], [[[1, 3], [2, 4], [8, 3], [14, 1]], 3/114688], [[[1, 3], [2, 6], [3, 1], [4, 7]], 37457/54358179840], [[[1, 3], [2, 6], [3, 2], [4, 6]], 3149/40768634880], [[[1, 3], [2, 6], [3, 2], [8, 3]], 103/70778880], [[[1, 3], [2, 6], [3, 2], [10, 3]], 1/108000], [[[1, 3], [2, 6], [3, 2], [14, 2]], 1/48384], [[[1, 3], [2, 6], [3, 3], [4, 5]], 61/1698693120], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/23887872], [[[1, 3], [2, 6], [4, 2], [8, 3]], 2849/15728640], [[[1, 3], [2, 6], [4, 2], [10, 3]], 419/6144000], [[[1, 3], [2, 6], [4, 2], [14, 2]], 1/9408], [[[1, 3], [2, 6], [4, 3], [6, 5]], 19/47775744], [[[1, 3], [2, 6], [4, 4], [5, 2]], 14341/14155776000], [[[1, 3], [2, 6], [4, 4], [6, 4]], 1741/509607936], [[[1, 3], [2, 6], [4, 4], [8, 2]], 68063/452984832], [[[1, 3], [2, 6], [4, 4], [10, 2]], 7943/188743680], [[[1, 3], [2, 6], [4, 4], [12, 2]], 2219/53084160], [[[1, 3], [2, 6], [4, 4], [16, 1]], 61741/1509949440], [[[1, 3], [2, 6], [4, 5], [6, 3]], 8701/1528823808], [[[1, 3], [2, 6], [4, 5], [7, 1]], 1151/176160768], [[[1, 3], [2, 6], [4, 5], [14, 1]], 19879/1585446912], [[[1, 3], [2, 6], [4, 6], [5, 1]], 4061/3774873600], [[[1, 3], [2, 6], [4, 6], [6, 2]], 10405/2717908992], [[[1, 3], [2, 6], [4, 6], [8, 1]], 174277/12079595520], [[[1, 3], [2, 6], [4, 6], [10, 1]], 91657/11324620800], [[[1, 3], [2, 6], [4, 6], [12, 1]], 30283/1698693120], [[[1, 3], [2, 6], [4, 7], [6, 1]], 40499/32614907904], [[[1, 3], [2, 6], [5, 1], [8, 3]], 247/78643200], [[[1, 3], [2, 6], [5, 1], [10, 3]], 53/240000], [[[1, 3], [2, 6], [5, 1], [14, 2]], 1/13440], [[[1, 3], [2, 6], [5, 2], [6, 4]], 1/691200], [[[1, 3], [2, 6], [5, 2], [8, 2]], 31/294912000], [[[1, 3], [2, 6], [5, 2], [10, 2]], 47/480000], [[[1, 3], [2, 6], [6, 2], [8, 3]], 97/7077888], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/72000], [[[1, 3], [2, 6], [6, 2], [14, 2]], 1/37632], [[[1, 3], [2, 6], [6, 4], [8, 2]], 137/31850496], [[[1, 3], [2, 6], [6, 4], [10, 2]], 1/414720], [[[1, 3], [2, 6], [6, 4], [16, 1]], 1/221184], [[[1, 3], [2, 6], [6, 5], [7, 1]], 1/1306368], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/870912], [[[1, 3], [2, 6], [6, 5], [18, 1]], 1/373248], [[[1, 3], [2, 6], [8, 1], [10, 3]], 17/384000], [[[1, 3], [2, 6], [8, 1], [14, 2]], 3/50176], [[[1, 3], [2, 6], [8, 2], [10, 2]], 307/6553600], [[[1, 3], [2, 6], [8, 2], [16, 1]], 31/6291456], [[[1, 3], [2, 6], [8, 3], [10, 1]], 853/47185920], [[[1, 3], [2, 6], [10, 1], [14, 2]], 1/31360], [[[1, 3], [2, 6], [10, 2], [16, 1]], 3/51200], [[[1, 3], [2, 8], [3, 1], [4, 6]], 661051/2283043553280], [[[1, 3], [2, 8], [3, 1], [6, 6]], 103/26873856], [[[1, 3], [2, 8], [3, 1], [8, 3]], 157/283115520], [[[1, 3], [2, 8], [3, 1], [10, 3]], 29/1536000], [[[1, 3], [2, 8], [3, 1], [14, 2]], 1/50176], [[[1, 3], [2, 8], [3, 2], [4, 5]], 14797/95126814720], [[[1, 3], [2, 8], [3, 2], [6, 5]], 307/8957952], [[[1, 3], [2, 8], [3, 3], [6, 4]], 61/2239488], [[[1, 3], [2, 8], [4, 1], [5, 3]], 1/184320000], [[[1, 3], [2, 8], [4, 1], [6, 6]], 113/107495424], [[[1, 3], [2, 8], [4, 1], [7, 2]], 1/36126720], [[[1, 3], [2, 8], [4, 1], [8, 3]], 167651/21139292160], [[[1, 3], [2, 8], [4, 1], [10, 3]], 2929/36864000], [[[1, 3], [2, 8], [4, 1], [14, 2]], 829/7225344], [[[1, 3], [2, 8], [4, 2], [6, 5]], 623/95551488], [[[1, 3], [2, 8], [4, 3], [5, 2]], 2203/3538944000], [[[1, 3], [2, 8], [4, 3], [6, 4]], 2033/127401984], [[[1, 3], [2, 8], [4, 3], [8, 2]], 423523/5284823040], [[[1, 3], [2, 8], [4, 3], [10, 2]], 267991/3538944000], [[[1, 3], [2, 8], [4, 3], [12, 2]], 529/159252480], [[[1, 3], [2, 8], [4, 3], [16, 1]], 276425/25367150592], [[[1, 3], [2, 8], [4, 4], [6, 3]], 522539/30576476160], [[[1, 3], [2, 8], [4, 4], [7, 1]], 14533/7927234560], [[[1, 3], [2, 8], [4, 4], [14, 1]], 12283/528482304], [[[1, 3], [2, 8], [4, 5], [5, 1]], 50689/39636172800], [[[1, 3], [2, 8], [4, 5], [6, 2]], 78629/8153726976], [[[1, 3], [2, 8], [4, 5], [8, 1]], 5723909/405874409472], [[[1, 3], [2, 8], [4, 5], [10, 1]], 233417/16986931200], [[[1, 3], [2, 8], [4, 5], [12, 1]], 312715/28538044416], [[[1, 3], [2, 8], [4, 6], [6, 1]], 1227971/380507258880], [[[1, 3], [2, 8], [5, 1], [6, 5]], 1/497664], [[[1, 3], [2, 8], [5, 2], [6, 3]], 37/27648000], [[[1, 3], [2, 8], [5, 2], [14, 1]], 31/64512000], [[[1, 3], [2, 8], [6, 1], [8, 3]], 7/2097152], [[[1, 3], [2, 8], [6, 1], [10, 3]], 517/9216000], [[[1, 3], [2, 8], [6, 1], [14, 2]], 137/1806336], [[[1, 3], [2, 8], [6, 3], [8, 2]], 2957/318504960], [[[1, 3], [2, 8], [6, 3], [10, 2]], 329/8294400], [[[1, 3], [2, 8], [6, 3], [16, 1]], 11/884736], [[[1, 3], [2, 8], [6, 4], [7, 1]], 185/41803776], [[[1, 3], [2, 8], [6, 4], [14, 1]], 43/2322432], [[[1, 3], [2, 8], [6, 4], [18, 1]], 41/1492992], [[[1, 3], [2, 8], [6, 5], [8, 1]], 197/71663616], [[[1, 3], [2, 8], [6, 5], [10, 1]], 53/14929920], [[[1, 3], [2, 8], [7, 1], [8, 2]], 11/55050240], [[[1, 3], [2, 8], [7, 1], [10, 2]], 1363/64512000], [[[1, 3], [2, 8], [7, 1], [16, 1]], 1/20643840], [[[1, 3], [2, 8], [8, 2], [14, 1]], 1583/165150720], [[[1, 3], [2, 8], [10, 2], [14, 1]], 23/286720], [[[1, 3], [2, 8], [14, 1], [16, 1]], 5/458752], [[[1, 3], [2, 10], [3, 1], [4, 5]], 1331369/9132174213120], [[[1, 3], [2, 10], [3, 1], [6, 5]], 8707/716636160], [[[1, 3], [2, 10], [3, 2], [4, 4]], 2371253/205473919795200], [[[1, 3], [2, 10], [3, 2], [6, 4]], 28229/1433272320], [[[1, 3], [2, 10], [3, 2], [8, 2]], 45049/2140353331200], [[[1, 3], [2, 10], [3, 2], [10, 2]], 22373/37158912000], [[[1, 3], [2, 10], [3, 2], [16, 1]], 29/11890851840], [[[1, 3], [2, 10], [3, 3], [4, 3]], 221/107017666560], [[[1, 3], [2, 10], [3, 3], [6, 3]], 149/119439360], [[[1, 3], [2, 10], [4, 1], [6, 5]], 1217/191102976], [[[1, 3], [2, 10], [4, 2], [5, 2]], 9067/396361728000], [[[1, 3], [2, 10], [4, 2], [6, 4]], 83317/5096079360], [[[1, 3], [2, 10], [4, 2], [8, 2]], 5038183/951268147200], [[[1, 3], [2, 10], [4, 2], [10, 2]], 4412207/132120576000], [[[1, 3], [2, 10], [4, 2], [12, 2]], 37/637009920], [[[1, 3], [2, 10], [4, 2], [16, 1]], 362063/380507258880], [[[1, 3], [2, 10], [4, 3], [6, 3]], 55597/3822059520], [[[1, 3], [2, 10], [4, 3], [7, 1]], 47449/133177540608], [[[1, 3], [2, 10], [4, 3], [14, 1]], 6587453/665887703040], [[[1, 3], [2, 10], [4, 4], [5, 1]], 11671133/57076088832000], [[[1, 3], [2, 10], [4, 4], [6, 2]], 36653527/4566087106560], [[[1, 3], [2, 10], [4, 4], [8, 1]], 12403451/3652869685248], [[[1, 3], [2, 10], [4, 4], [10, 1]], 4144121/761014517760], [[[1, 3], [2, 10], [4, 4], [12, 1]], 5901149/2853804441600], [[[1, 3], [2, 10], [4, 5], [6, 1]], 21594481/9132174213120], [[[1, 3], [2, 10], [5, 1], [6, 4]], 817/398131200], [[[1, 3], [2, 10], [5, 1], [8, 2]], 2291/42467328000], [[[1, 3], [2, 10], [5, 1], [10, 2]], 70253/10321920000], [[[1, 3], [2, 10], [5, 1], [16, 1]], 29/3303014400], [[[1, 3], [2, 10], [5, 2], [6, 2]], 89/825753600], [[[1, 3], [2, 10], [5, 2], [8, 1]], 41/9909043200], [[[1, 3], [2, 10], [5, 2], [10, 1]], 2077/30965760000], [[[1, 3], [2, 10], [6, 2], [8, 2]], 32677/15854469120], [[[1, 3], [2, 10], [6, 2], [10, 2]], 17183/442368000], [[[1, 3], [2, 10], [6, 2], [16, 1]], 133/47185920], [[[1, 3], [2, 10], [6, 3], [7, 1]], 67/36578304], [[[1, 3], [2, 10], [6, 3], [14, 1]], 12841/557383680], [[[1, 3], [2, 10], [6, 3], [18, 1]], 1363/79626240], [[[1, 3], [2, 10], [6, 4], [8, 1]], 22693/5733089280], [[[1, 3], [2, 10], [6, 4], [10, 1]], 1049/79626240], [[[1, 3], [2, 10], [7, 1], [14, 1]], 17/27095040], [[[1, 3], [2, 10], [8, 1], [10, 2]], 9317/1769472000], [[[1, 3], [2, 10], [8, 1], [16, 1]], 1207/15854469120], [[[1, 3], [2, 10], [8, 2], [10, 1]], 3769/3303014400], [[[1, 3], [2, 10], [10, 1], [16, 1]], 19/13107200], [[[1, 3], [2, 12], [3, 1], [4, 4]], 3660379/273965226393600], [[[1, 3], [2, 12], [3, 1], [6, 4]], 9701/2548039680], [[[1, 3], [2, 12], [3, 1], [8, 2]], 24967/5707608883200], [[[1, 3], [2, 12], [3, 1], [10, 2]], 3577/21233664000], [[[1, 3], [2, 12], [3, 1], [16, 1]], 17/47563407360], [[[1, 3], [2, 12], [3, 2], [4, 3]], 7583/3210529996800], [[[1, 3], [2, 12], [3, 2], [6, 3]], 8329/6688604160], [[[1, 3], [2, 12], [3, 2], [14, 1]], 1889/133772083200], [[[1, 3], [2, 12], [3, 3], [6, 2]], 187/13377208320], [[[1, 3], [2, 12], [3, 3], [8, 1]], 323/3210529996800], [[[1, 3], [2, 12], [4, 1], [5, 2]], 1859/2972712960000], [[[1, 3], [2, 12], [4, 1], [6, 4]], 629411/160526499840], [[[1, 3], [2, 12], [4, 1], [8, 2]], 185827/1902536294400], [[[1, 3], [2, 12], [4, 1], [10, 2]], 652783/198180864000], [[[1, 3], [2, 12], [4, 1], [16, 1]], 255859/7610145177600], [[[1, 3], [2, 12], [4, 2], [6, 3]], 295859/61152952320], [[[1, 3], [2, 12], [4, 2], [7, 1]], 11897/665887703040], [[[1, 3], [2, 12], [4, 2], [14, 1]], 4988027/3329438515200], [[[1, 3], [2, 12], [4, 3], [5, 1]], 377813/14269022208000], [[[1, 3], [2, 12], [4, 3], [6, 2]], 191819/85614133248], [[[1, 3], [2, 12], [4, 3], [8, 1]], 16533793/36528696852480], [[[1, 3], [2, 12], [4, 3], [10, 1]], 14319073/14269022208000], [[[1, 3], [2, 12], [4, 3], [12, 1]], 1106297/8561413324800], [[[1, 3], [2, 12], [4, 4], [6, 1]], 3755029/7610145177600], [[[1, 3], [2, 12], [5, 1], [6, 3]], 479/1857945600], [[[1, 3], [2, 12], [5, 1], [14, 1]], 1889/37158912000], [[[1, 3], [2, 12], [5, 2], [6, 1]], 49/35389440000], [[[1, 3], [2, 12], [6, 1], [8, 2]], 45463/570760888320], [[[1, 3], [2, 12], [6, 1], [10, 2]], 100651/21233664000], [[[1, 3], [2, 12], [6, 1], [16, 1]], 1277/15854469120], [[[1, 3], [2, 12], [6, 2], [7, 1]], 53449/468202291200], [[[1, 3], [2, 12], [6, 2], [14, 1]], 260003/62426972160], [[[1, 3], [2, 12], [6, 2], [18, 1]], 31013/26754416640], [[[1, 3], [2, 12], [6, 3], [8, 1]], 483943/642105999360], [[[1, 3], [2, 12], [6, 3], [10, 1]], 375523/66886041600], [[[1, 3], [2, 12], [7, 1], [8, 1]], 127/208089907200], [[[1, 3], [2, 12], [7, 1], [10, 1]], 5317/130056192000], [[[1, 3], [2, 12], [8, 1], [14, 1]], 7451/41617981440], [[[1, 3], [2, 12], [10, 1], [14, 1]], 3767/1734082560], [[[1, 3], [2, 14], [3, 1], [4, 3]], 317731/273965226393600], [[[1, 3], [2, 14], [3, 1], [6, 3]], 2077217/9631589990400], [[[1, 3], [2, 14], [3, 1], [7, 1]], 29/3329438515200], [[[1, 3], [2, 14], [3, 1], [9, 1]], 29/1426902220800], [[[1, 3], [2, 14], [3, 1], [14, 1]], 223/104044953600], [[[1, 3], [2, 14], [3, 2], [4, 2]], 8329/102736959897600], [[[1, 3], [2, 14], [3, 2], [6, 2]], 173533/12842119987200], [[[1, 3], [2, 14], [3, 2], [8, 1]], 967/51368479948800], [[[1, 3], [2, 14], [3, 2], [10, 1]], 2749/4586471424000], [[[1, 3], [2, 14], [3, 3], [4, 1]], 367/77052719923200], [[[1, 3], [2, 14], [3, 3], [6, 1]], 437/6421059993600], [[[1, 3], [2, 14], [4, 1], [6, 3]], 16822777/38526359961600], [[[1, 3], [2, 14], [4, 1], [7, 1]], 15679/39953262182400], [[[1, 3], [2, 14], [4, 1], [14, 1]], 21241/295950090240], [[[1, 3], [2, 14], [4, 2], [5, 1]], 1291/951268147200], [[[1, 3], [2, 14], [4, 2], [6, 2]], 169609/611529523200], [[[1, 3], [2, 14], [4, 2], [8, 1]], 12712067/547930452787200], [[[1, 3], [2, 14], [4, 2], [10, 1]], 2516903/28538044416000], [[[1, 3], [2, 14], [4, 2], [12, 1]], 55873/17122826649600], [[[1, 3], [2, 14], [4, 3], [6, 1]], 578917/10146860236800], [[[1, 3], [2, 14], [5, 1], [6, 2]], 3761/509607936000], [[[1, 3], [2, 14], [5, 1], [8, 1]], 1991/11415217766400], [[[1, 3], [2, 14], [5, 1], [10, 1]], 119407/35672555520000], [[[1, 3], [2, 14], [6, 1], [7, 1]], 5069/3745618329600], [[[1, 3], [2, 14], [6, 1], [14, 1]], 465841/3329438515200], [[[1, 3], [2, 14], [6, 1], [18, 1]], 44203/4280706662400], [[[1, 3], [2, 14], [6, 2], [8, 1]], 773183/25684239974400], [[[1, 3], [2, 14], [6, 2], [10, 1]], 2355917/5350883328000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 57847/6341787648000], [[[1, 3], [2, 16], [3, 1], [4, 2]], 2976217/57532697542656000], [[[1, 3], [2, 16], [3, 1], [5, 1]], 2063/1284211998720000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 9671/3210529996800], [[[1, 3], [2, 16], [3, 1], [8, 1]], 487/34245653299200], [[[1, 3], [2, 16], [3, 1], [10, 1]], 757/10701766656000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 16601/7191587192832000], [[[1, 3], [2, 16], [3, 2], [6, 1]], 21311/898948399104000], [[[1, 3], [2, 16], [4, 1], [5, 1]], 481/20808990720000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 55499/4566087106560], [[[1, 3], [2, 16], [4, 1], [8, 1]], 11832031/34093450395648000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 137327/42807066624000], [[[1, 3], [2, 16], [4, 1], [12, 1]], 133/4892236185600], [[[1, 3], [2, 16], [4, 2], [6, 1]], 2341237/639252194918400], [[[1, 3], [2, 16], [5, 1], [6, 1]], 15151/249707888640000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 6589/20547391979520], [[[1, 3], [2, 16], [6, 1], [10, 1]], 76187/9512681472000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 333653/460261580341248000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 394279/38355131695104000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 45795877/460261580341248000], [[[1, 3], [3, 1], [4, 2], [8, 4]], 1/393216], [[[1, 3], [3, 1], [4, 6], [8, 2]], 1/6291456], [[[1, 3], [3, 2], [4, 3], [8, 3]], 1/1769472], [[[1, 3], [3, 2], [4, 5], [16, 1]], 1/7077888], [[[1, 3], [3, 2], [4, 7], [8, 1]], 1/84934656], [[[1, 3], [4, 1], [5, 2], [8, 3]], 1/204800], [[[1, 3], [4, 3], [5, 1], [8, 3]], 1/491520], [[[1, 3], [4, 3], [8, 2], [16, 1]], 5/524288], [[[1, 3], [4, 3], [8, 3], [12, 1]], 3/262144], [[[1, 3], [4, 4], [7, 1], [8, 2]], 1/688128], [[[1, 3], [4, 5], [5, 1], [16, 1]], 1/1966080], [[[1, 3], [4, 5], [5, 2], [8, 1]], 1/9830400], [[[1, 3], [4, 5], [8, 1], [12, 2]], 1/98304], [[[1, 3], [4, 5], [12, 1], [16, 1]], 1/196608], [[[1, 3], [4, 7], [5, 1], [8, 1]], 1/23592960], [[[1, 3], [4, 7], [8, 1], [12, 1]], 1/4194304], [[[1, 4], [2, 1], [3, 1], [4, 9]], 1/1207959552], [[[1, 4], [2, 1], [3, 2], [4, 8]], 7/1811939328], [[[1, 4], [2, 1], [3, 2], [8, 4]], 1/786432], [[[1, 4], [2, 1], [3, 3], [4, 7]], 1/127401984], [[[1, 4], [2, 1], [3, 4], [4, 6]], 1/254803968], [[[1, 4], [2, 1], [4, 2], [8, 4]], 485/25165824], [[[1, 4], [2, 1], [4, 4], [5, 3]], 1/6144000], [[[1, 4], [2, 1], [4, 4], [8, 3]], 169/37748736], [[[1, 4], [2, 1], [4, 6], [5, 2]], 7/78643200], [[[1, 4], [2, 1], [4, 6], [8, 2]], 11/12582912], [[[1, 4], [2, 1], [4, 6], [12, 2]], 5/1179648], [[[1, 4], [2, 1], [4, 6], [16, 1]], 101/75497472], [[[1, 4], [2, 1], [4, 7], [7, 1]], 1/44040192], [[[1, 4], [2, 1], [4, 7], [14, 1]], 1/44040192], [[[1, 4], [2, 1], [4, 8], [5, 1]], 7/503316480], [[[1, 4], [2, 1], [4, 8], [8, 1]], 449/7247757312], [[[1, 4], [2, 1], [4, 8], [12, 1]], 5/75497472], [[[1, 4], [2, 1], [4, 9], [6, 1]], 1/1207959552], [[[1, 4], [2, 1], [5, 1], [8, 4]], 3/655360], [[[1, 4], [2, 1], [5, 2], [8, 3]], 3/204800], [[[1, 4], [2, 1], [5, 3], [8, 2]], 1/128000], [[[1, 4], [2, 3], [3, 1], [4, 8]], 47/339738624], [[[1, 4], [2, 3], [3, 1], [8, 4]], 25/2359296], [[[1, 4], [2, 3], [3, 2], [4, 7]], 343/1019215872], [[[1, 4], [2, 3], [3, 3], [4, 6]], 5/14155776], [[[1, 4], [2, 3], [3, 3], [8, 3]], 1/331776], [[[1, 4], [2, 3], [4, 1], [8, 4]], 1285/18874368], [[[1, 4], [2, 3], [4, 3], [5, 3]], 3/1024000], [[[1, 4], [2, 3], [4, 3], [7, 2]], 3/200704], [[[1, 4], [2, 3], [4, 3], [8, 3]], 799/2097152], [[[1, 4], [2, 3], [4, 3], [10, 3]], 1/1024000], [[[1, 4], [2, 3], [4, 3], [14, 2]], 1/200704], [[[1, 4], [2, 3], [4, 5], [5, 2]], 97/39321600], [[[1, 4], [2, 3], [4, 5], [8, 2]], 16841/226492416], [[[1, 4], [2, 3], [4, 5], [10, 2]], 31/39321600], [[[1, 4], [2, 3], [4, 5], [12, 2]], 1/16384], [[[1, 4], [2, 3], [4, 5], [16, 1]], 10915/301989888], [[[1, 4], [2, 3], [4, 6], [7, 1]], 331/132120576], [[[1, 4], [2, 3], [4, 6], [14, 1]], 317/132120576], [[[1, 4], [2, 3], [4, 7], [5, 1]], 359/566231040], [[[1, 4], [2, 3], [4, 7], [6, 2]], 193/1019215872], [[[1, 4], [2, 3], [4, 7], [8, 1]], 8881/2415919104], [[[1, 4], [2, 3], [4, 7], [10, 1]], 143/566231040], [[[1, 4], [2, 3], [4, 7], [12, 1]], 169/37748736], [[[1, 4], [2, 3], [4, 8], [6, 1]], 2827/21743271936], [[[1, 4], [2, 3], [5, 3], [14, 1]], 1/28000], [[[1, 4], [2, 3], [6, 1], [8, 4]], 79/9437184], [[[1, 4], [2, 3], [6, 3], [8, 3]], 1/1327104], [[[1, 4], [2, 3], [7, 1], [8, 3]], 3/114688], [[[1, 4], [2, 3], [8, 3], [14, 1]], 1/114688], [[[1, 4], [2, 5], [3, 1], [4, 7]], 124039/54358179840], [[[1, 4], [2, 5], [3, 2], [4, 6]], 21587/8153726976], [[[1, 4], [2, 5], [3, 2], [8, 3]], 683/70778880], [[[1, 4], [2, 5], [3, 2], [10, 3]], 1/96000], [[[1, 4], [2, 5], [3, 2], [14, 2]], 1/37632], [[[1, 4], [2, 5], [3, 3], [4, 5]], 1403/5096079360], [[[1, 4], [2, 5], [3, 4], [4, 4]], 91/1019215872], [[[1, 4], [2, 5], [3, 4], [8, 2]], 23/63700992], [[[1, 4], [2, 5], [3, 4], [10, 2]], 1/2073600], [[[1, 4], [2, 5], [4, 2], [5, 3]], 79/12288000], [[[1, 4], [2, 5], [4, 2], [7, 2]], 31/1204224], [[[1, 4], [2, 5], [4, 2], [8, 3]], 11467/23592960], [[[1, 4], [2, 5], [4, 2], [10, 3]], 71/2457600], [[[1, 4], [2, 5], [4, 2], [14, 2]], 115/1204224], [[[1, 4], [2, 5], [4, 3], [6, 5]], 5/47775744], [[[1, 4], [2, 5], [4, 4], [5, 2]], 9737/943718400], [[[1, 4], [2, 5], [4, 4], [6, 4]], 55/113246208], [[[1, 4], [2, 5], [4, 4], [8, 2]], 244235/603979776], [[[1, 4], [2, 5], [4, 4], [10, 2]], 5779/188743680], [[[1, 4], [2, 5], [4, 4], [12, 2]], 2015/21233664], [[[1, 4], [2, 5], [4, 4], [16, 1]], 60529/503316480], [[[1, 4], [2, 5], [4, 5], [6, 3]], 6661/1528823808], [[[1, 4], [2, 5], [4, 5], [7, 1]], 11651/528482304], [[[1, 4], [2, 5], [4, 5], [14, 1]], 40585/1585446912], [[[1, 4], [2, 5], [4, 6], [5, 1]], 10297/2264924160], [[[1, 4], [2, 5], [4, 6], [6, 2]], 42809/8153726976], [[[1, 4], [2, 5], [4, 6], [8, 1]], 440003/12079595520], [[[1, 4], [2, 5], [4, 6], [10, 1]], 4235/452984832], [[[1, 4], [2, 5], [4, 6], [12, 1]], 50627/1358954496], [[[1, 4], [2, 5], [4, 7], [6, 1]], 85133/32614907904], [[[1, 4], [2, 5], [5, 1], [8, 3]], 459/26214400], [[[1, 4], [2, 5], [5, 1], [10, 3]], 23/240000], [[[1, 4], [2, 5], [5, 1], [14, 2]], 3/31360], [[[1, 4], [2, 5], [5, 2], [6, 4]], 1/691200], [[[1, 4], [2, 5], [5, 2], [8, 2]], 187/19660800], [[[1, 4], [2, 5], [5, 2], [10, 2]], 43/120000], [[[1, 4], [2, 5], [5, 3], [6, 2]], 1/288000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 1/120000], [[[1, 4], [2, 5], [6, 2], [7, 2]], 1/112896], [[[1, 4], [2, 5], [6, 2], [8, 3]], 125/7077888], [[[1, 4], [2, 5], [6, 4], [8, 2]], 155/63700992], [[[1, 4], [2, 5], [6, 4], [16, 1]], 1/663552], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/31360], [[[1, 4], [2, 5], [8, 1], [10, 3]], 1/76800], [[[1, 4], [2, 5], [8, 1], [14, 2]], 1/50176], [[[1, 4], [2, 5], [8, 2], [10, 2]], 829/19660800], [[[1, 4], [2, 5], [8, 2], [16, 1]], 145/6291456], [[[1, 4], [2, 5], [8, 3], [10, 1]], 1291/47185920], [[[1, 4], [2, 5], [10, 2], [16, 1]], 1/51200], [[[1, 4], [2, 7], [3, 1], [4, 6]], 787529/163074539520], [[[1, 4], [2, 7], [3, 1], [5, 3]], 1/138240000], [[[1, 4], [2, 7], [3, 1], [6, 6]], 13/8957952], [[[1, 4], [2, 7], [3, 1], [7, 2]], 1/27095040], [[[1, 4], [2, 7], [3, 1], [8, 3]], 373/94371840], [[[1, 4], [2, 7], [3, 1], [10, 3]], 217/6912000], [[[1, 4], [2, 7], [3, 1], [14, 2]], 5/96768], [[[1, 4], [2, 7], [3, 2], [4, 5]], 159991/95126814720], [[[1, 4], [2, 7], [3, 2], [6, 5]], 347/8957952], [[[1, 4], [2, 7], [3, 3], [4, 4]], 52007/91729428480], [[[1, 4], [2, 7], [3, 3], [6, 4]], 2975/26873856], [[[1, 4], [2, 7], [3, 3], [8, 2]], 89/191102976], [[[1, 4], [2, 7], [3, 3], [10, 2]], 5/1990656], [[[1, 4], [2, 7], [3, 4], [6, 3]], 331/26873856], [[[1, 4], [2, 7], [3, 4], [14, 1]], 1/4644864], [[[1, 4], [2, 7], [4, 1], [5, 3]], 31/184320000], [[[1, 4], [2, 7], [4, 1], [6, 6]], 35/107495424], [[[1, 4], [2, 7], [4, 1], [7, 2]], 31/36126720], [[[1, 4], [2, 7], [4, 1], [8, 3]], 180791/4529848320], [[[1, 4], [2, 7], [4, 1], [10, 3]], 2647/36864000], [[[1, 4], [2, 7], [4, 1], [14, 2]], 1027/7225344], [[[1, 4], [2, 7], [4, 2], [6, 5]], 1997/573308928], [[[1, 4], [2, 7], [4, 3], [5, 2]], 23761/3538944000], [[[1, 4], [2, 7], [4, 3], [6, 4]], 2105/127401984], [[[1, 4], [2, 7], [4, 3], [8, 2]], 746449/1761607680], [[[1, 4], [2, 7], [4, 3], [10, 2]], 507757/3538944000], [[[1, 4], [2, 7], [4, 3], [12, 2]], 3211/159252480], [[[1, 4], [2, 7], [4, 3], [16, 1]], 599879/9059696640], [[[1, 4], [2, 7], [4, 4], [6, 3]], 190909/6115295232], [[[1, 4], [2, 7], [4, 4], [7, 1]], 542849/23781703680], [[[1, 4], [2, 7], [4, 4], [14, 1]], 181841/2642411520], [[[1, 4], [2, 7], [4, 5], [5, 1]], 345809/39636172800], [[[1, 4], [2, 7], [4, 5], [6, 2]], 1125667/40768634880], [[[1, 4], [2, 7], [4, 5], [8, 1]], 34375913/434865438720], [[[1, 4], [2, 7], [4, 5], [10, 1]], 768461/16986931200], [[[1, 4], [2, 7], [4, 5], [12, 1]], 7711601/142690222080], [[[1, 4], [2, 7], [4, 6], [6, 1]], 909971/81537269760], [[[1, 4], [2, 7], [5, 1], [6, 5]], 43/22394880], [[[1, 4], [2, 7], [5, 2], [6, 3]], 61/8294400], [[[1, 4], [2, 7], [5, 2], [7, 1]], 1/64512000], [[[1, 4], [2, 7], [5, 2], [14, 1]], 9/1433600], [[[1, 4], [2, 7], [5, 3], [6, 1]], 11/23040000], [[[1, 4], [2, 7], [6, 1], [7, 2]], 1/451584], [[[1, 4], [2, 7], [6, 1], [8, 3]], 599/56623104], [[[1, 4], [2, 7], [6, 1], [10, 3]], 97/3072000], [[[1, 4], [2, 7], [6, 1], [14, 2]], 31/602112], [[[1, 4], [2, 7], [6, 3], [8, 2]], 523/31850496], [[[1, 4], [2, 7], [6, 3], [10, 2]], 67/3317760], [[[1, 4], [2, 7], [6, 3], [16, 1]], 41/2654208], [[[1, 4], [2, 7], [6, 4], [7, 1]], 55/6967296], [[[1, 4], [2, 7], [6, 4], [14, 1]], 43/4644864], [[[1, 4], [2, 7], [6, 4], [18, 1]], 43/2985984], [[[1, 4], [2, 7], [6, 5], [8, 1]], 137/71663616], [[[1, 4], [2, 7], [6, 5], [10, 1]], 43/29859840], [[[1, 4], [2, 7], [7, 1], [8, 2]], 1259/495452160], [[[1, 4], [2, 7], [7, 1], [10, 2]], 821/12902400], [[[1, 4], [2, 7], [7, 1], [16, 1]], 31/20643840], [[[1, 4], [2, 7], [8, 2], [14, 1]], 925/33030144], [[[1, 4], [2, 7], [10, 2], [14, 1]], 41/860160], [[[1, 4], [2, 7], [14, 1], [16, 1]], 11/458752], [[[1, 4], [2, 9], [3, 1], [4, 5]], 422375/202937204736], [[[1, 4], [2, 9], [3, 1], [6, 5]], 7865/429981696], [[[1, 4], [2, 9], [3, 2], [4, 4]], 3528533/4566087106560], [[[1, 4], [2, 9], [3, 2], [5, 2]], 47/12386304000], [[[1, 4], [2, 9], [3, 2], [6, 4]], 107903/1433272320], [[[1, 4], [2, 9], [3, 2], [8, 2]], 2857/9512681472], [[[1, 4], [2, 9], [3, 2], [10, 2]], 1931/442368000], [[[1, 4], [2, 9], [3, 2], [16, 1]], 109/1321205760], [[[1, 4], [2, 9], [3, 3], [4, 3]], 5737/107017666560], [[[1, 4], [2, 9], [3, 3], [6, 3]], 25153/1074954240], [[[1, 4], [2, 9], [3, 3], [7, 1]], 29/15606743040], [[[1, 4], [2, 9], [3, 3], [9, 1]], 29/6688604160], [[[1, 4], [2, 9], [3, 3], [14, 1]], 11/59719680], [[[1, 4], [2, 9], [3, 4], [4, 2]], 2563/428070666240], [[[1, 4], [2, 9], [3, 4], [6, 2]], 599/1433272320], [[[1, 4], [2, 9], [3, 4], [10, 1]], 23/1194393600], [[[1, 4], [2, 9], [4, 1], [6, 5]], 4217/573308928], [[[1, 4], [2, 9], [4, 2], [5, 2]], 108977/132120576000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 564973/18345885696], [[[1, 4], [2, 9], [4, 2], [8, 2]], 11724341/253671505920], [[[1, 4], [2, 9], [4, 2], [10, 2]], 24847/226492416], [[[1, 4], [2, 9], [4, 2], [12, 2]], 103/159252480], [[[1, 4], [2, 9], [4, 2], [16, 1]], 4065749/380507258880], [[[1, 4], [2, 9], [4, 3], [6, 3]], 8363/159252480], [[[1, 4], [2, 9], [4, 3], [7, 1]], 3755879/665887703040], [[[1, 4], [2, 9], [4, 3], [14, 1]], 39224903/665887703040], [[[1, 4], [2, 9], [4, 4], [5, 1]], 15456503/3805072588800], [[[1, 4], [2, 9], [4, 4], [6, 2]], 12286001/326149079040], [[[1, 4], [2, 9], [4, 4], [8, 1]], 147697073/3652869685248], [[[1, 4], [2, 9], [4, 4], [10, 1]], 2979989/76101451776], [[[1, 4], [2, 9], [4, 4], [12, 1]], 18829417/1141521776640], [[[1, 4], [2, 9], [4, 5], [6, 1]], 143790499/9132174213120], [[[1, 4], [2, 9], [5, 1], [6, 4]], 4649/716636160], [[[1, 4], [2, 9], [5, 1], [8, 2]], 8741/13212057600], [[[1, 4], [2, 9], [5, 1], [10, 2]], 39583/1105920000], [[[1, 4], [2, 9], [5, 1], [16, 1]], 109/367001600], [[[1, 4], [2, 9], [5, 2], [6, 2]], 127/88473600], [[[1, 4], [2, 9], [5, 2], [8, 1]], 7093/49545216000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 8587/5160960000], [[[1, 4], [2, 9], [6, 2], [8, 2]], 9221/1132462080], [[[1, 4], [2, 9], [6, 2], [10, 2]], 9427/176947200], [[[1, 4], [2, 9], [6, 2], [16, 1]], 1363/141557760], [[[1, 4], [2, 9], [6, 3], [7, 1]], 169/19906560], [[[1, 4], [2, 9], [6, 3], [14, 1]], 2371/74317824], [[[1, 4], [2, 9], [6, 3], [18, 1]], 875/31850496], [[[1, 4], [2, 9], [6, 4], [8, 1]], 44383/5733089280], [[[1, 4], [2, 9], [6, 4], [10, 1]], 127/8847360], [[[1, 4], [2, 9], [7, 1], [14, 1]], 319/54190080], [[[1, 4], [2, 9], [8, 1], [10, 2]], 1289/70778880], [[[1, 4], [2, 9], [8, 1], [16, 1]], 511/566231040], [[[1, 4], [2, 9], [8, 2], [10, 1]], 5221/943718400], [[[1, 4], [2, 9], [10, 1], [16, 1]], 827/117964800], [[[1, 4], [2, 11], [3, 1], [4, 4]], 91000649/205473919795200], [[[1, 4], [2, 11], [3, 1], [5, 2]], 3287/2229534720000], [[[1, 4], [2, 11], [3, 1], [6, 4]], 1718753/120394874880], [[[1, 4], [2, 11], [3, 1], [8, 2]], 626113/8561413324800], [[[1, 4], [2, 11], [3, 1], [10, 2]], 38003/21233664000], [[[1, 4], [2, 11], [3, 1], [16, 1]], 779/47563407360], [[[1, 4], [2, 11], [3, 2], [4, 3]], 252143/3210529996800], [[[1, 4], [2, 11], [3, 2], [6, 3]], 478409/40131624960], [[[1, 4], [2, 11], [3, 2], [7, 1]], 1013/936404582400], [[[1, 4], [2, 11], [3, 2], [9, 1]], 17/26754416640], [[[1, 4], [2, 11], [3, 2], [14, 1]], 2147/10404495360], [[[1, 4], [2, 11], [3, 3], [4, 2]], 9367/1284211998720], [[[1, 4], [2, 11], [3, 3], [5, 1]], 379/1003290624000], [[[1, 4], [2, 11], [3, 3], [6, 2]], 9797/20065812480], [[[1, 4], [2, 11], [3, 3], [8, 1]], 1889/458647142400], [[[1, 4], [2, 11], [3, 3], [10, 1]], 17/2006581248], [[[1, 4], [2, 11], [3, 4], [6, 1]], 187/160526499840], [[[1, 4], [2, 11], [4, 1], [5, 2]], 79349/2972712960000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 1787839/160526499840], [[[1, 4], [2, 11], [4, 1], [8, 2]], 2154379/1902536294400], [[[1, 4], [2, 11], [4, 1], [10, 2]], 451967/28311552000], [[[1, 4], [2, 11], [4, 1], [16, 1]], 145289/304405807104], [[[1, 4], [2, 11], [4, 2], [6, 3]], 15212327/642105999360], [[[1, 4], [2, 11], [4, 2], [7, 1]], 458453/1109812838400], [[[1, 4], [2, 11], [4, 2], [14, 1]], 8123257/665887703040], [[[1, 4], [2, 11], [4, 3], [5, 1]], 8612189/14269022208000], [[[1, 4], [2, 11], [4, 3], [6, 2]], 1608853/85614133248], [[[1, 4], [2, 11], [4, 3], [8, 1]], 1329959479/182643484262400], [[[1, 4], [2, 11], [4, 3], [10, 1]], 166774801/14269022208000], [[[1, 4], [2, 11], [4, 3], [12, 1]], 13429877/8561413324800], [[[1, 4], [2, 11], [4, 4], [6, 1]], 113457551/18264348426240], [[[1, 4], [2, 11], [5, 1], [6, 3]], 25997/12541132800], [[[1, 4], [2, 11], [5, 1], [7, 1]], 379/130056192000], [[[1, 4], [2, 11], [5, 1], [14, 1]], 3551/5202247680], [[[1, 4], [2, 11], [5, 2], [6, 1]], 3/73400320], [[[1, 4], [2, 11], [6, 1], [8, 2]], 132425/228304355328], [[[1, 4], [2, 11], [6, 1], [10, 2]], 1909/131072000], [[[1, 4], [2, 11], [6, 1], [16, 1]], 31013/47563407360], [[[1, 4], [2, 11], [6, 2], [7, 1]], 4847/4161798144], [[[1, 4], [2, 11], [6, 2], [14, 1]], 91/7077888], [[[1, 4], [2, 11], [6, 2], [18, 1]], 973/212336640], [[[1, 4], [2, 11], [6, 3], [8, 1]], 313237/91729428480], [[[1, 4], [2, 11], [6, 3], [10, 1]], 25871/1911029760], [[[1, 4], [2, 11], [7, 1], [8, 1]], 5317/208089907200], [[[1, 4], [2, 11], [7, 1], [10, 1]], 29291/52022476800], [[[1, 4], [2, 11], [8, 1], [14, 1]], 55469/41617981440], [[[1, 4], [2, 11], [10, 1], [14, 1]], 2077/247726080], [[[1, 4], [2, 13], [3, 1], [4, 3]], 10940333/273965226393600], [[[1, 4], [2, 13], [3, 1], [6, 3]], 16415449/9631589990400], [[[1, 4], [2, 13], [3, 1], [7, 1]], 1303/3329438515200], [[[1, 4], [2, 13], [3, 1], [9, 1]], 943/1426902220800], [[[1, 4], [2, 13], [3, 1], [14, 1]], 22193/535088332800], [[[1, 4], [2, 13], [3, 2], [4, 2]], 481/108716359680], [[[1, 4], [2, 13], [3, 2], [5, 1]], 977/10701766656000], [[[1, 4], [2, 13], [3, 2], [6, 2]], 1697821/6421059993600], [[[1, 4], [2, 13], [3, 2], [8, 1]], 10271/10273695989760], [[[1, 4], [2, 13], [3, 2], [10, 1]], 799/66060288000], [[[1, 4], [2, 13], [3, 3], [4, 1]], 2749/11007531417600], [[[1, 4], [2, 13], [3, 3], [6, 1]], 66907/19263179980800], [[[1, 4], [2, 13], [4, 1], [6, 3]], 102210097/38526359961600], [[[1, 4], [2, 13], [4, 1], [7, 1]], 488569/39953262182400], [[[1, 4], [2, 13], [4, 1], [14, 1]], 9033683/13317754060800], [[[1, 4], [2, 13], [4, 2], [5, 1]], 39523/1189085184000], [[[1, 4], [2, 13], [4, 2], [6, 2]], 293508253/102736959897600], [[[1, 4], [2, 13], [4, 2], [8, 1]], 213578909/547930452787200], [[[1, 4], [2, 13], [4, 2], [10, 1]], 1114889/951268147200], [[[1, 4], [2, 13], [4, 2], [12, 1]], 896323/17122826649600], [[[1, 4], [2, 13], [4, 3], [6, 1]], 4455919/4348654387200], [[[1, 4], [2, 13], [5, 1], [6, 2]], 1886561/16052649984000], [[[1, 4], [2, 13], [5, 1], [8, 1]], 209581/57076088832000], [[[1, 4], [2, 13], [5, 1], [10, 1]], 2139517/35672555520000], [[[1, 4], [2, 13], [6, 1], [7, 1]], 34331/1248539443200], [[[1, 4], [2, 13], [6, 1], [14, 1]], 566143/665887703040], [[[1, 4], [2, 13], [6, 1], [18, 1]], 72101/856141332480], [[[1, 4], [2, 13], [6, 2], [8, 1]], 6967931/25684239974400], [[[1, 4], [2, 13], [6, 2], [10, 1]], 4579751/2140353331200], [[[1, 4], [2, 13], [8, 1], [10, 1]], 383207/3805072588800], [[[1, 4], [2, 15], [3, 1], [4, 2]], 191003/117413668454400], [[[1, 4], [2, 15], [3, 1], [5, 1]], 5041/85614133248000], [[[1, 4], [2, 15], [3, 1], [6, 2]], 3307141/77052719923200], [[[1, 4], [2, 15], [3, 1], [8, 1]], 2039/6849130659840], [[[1, 4], [2, 15], [3, 1], [10, 1]], 120503/64210599936000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 345617/2397195730944000], [[[1, 4], [2, 15], [3, 2], [6, 1]], 1133/1284211998720], [[[1, 4], [2, 15], [4, 1], [5, 1]], 45053/62426972160000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 1122101/8218956791808], [[[1, 4], [2, 15], [4, 1], [8, 1]], 13747649/2191721811148800], [[[1, 4], [2, 15], [4, 1], [10, 1]], 1858211/42807066624000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 17449/34245653299200], [[[1, 4], [2, 15], [4, 2], [6, 1]], 56899121/821895679180800], [[[1, 4], [2, 15], [5, 1], [6, 1]], 51931/32105299968000], [[[1, 4], [2, 15], [6, 1], [8, 1]], 510233/102736959897600], [[[1, 4], [2, 15], [6, 1], [10, 1]], 1989223/28538044416000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 2381387/92052316068249600], [[[1, 4], [2, 17], [3, 1], [6, 1]], 16618097/69039237051187200], [[[1, 4], [2, 17], [4, 1], [6, 1]], 839600327/460261580341248000], [[[1, 5], [2, 2], [3, 1], [4, 8]], 301/5435817984], [[[1, 5], [2, 2], [3, 1], [8, 4]], 1/196608], [[[1, 5], [2, 2], [3, 2], [4, 7]], 73/339738624], [[[1, 5], [2, 2], [3, 3], [4, 6]], 13/31850496], [[[1, 5], [2, 2], [3, 3], [8, 3]], 5/1327104], [[[1, 5], [2, 2], [3, 4], [4, 5]], 101/382205952], [[[1, 5], [2, 2], [4, 1], [5, 4]], 1/80000], [[[1, 5], [2, 2], [4, 1], [8, 4]], 1481/62914560], [[[1, 5], [2, 2], [4, 3], [5, 3]], 7/614400], [[[1, 5], [2, 2], [4, 3], [7, 2]], 3/200704], [[[1, 5], [2, 2], [4, 3], [8, 3]], 121/1048576], [[[1, 5], [2, 2], [4, 5], [5, 2]], 487/117964800], [[[1, 5], [2, 2], [4, 5], [8, 2]], 3145/150994944], [[[1, 5], [2, 2], [4, 5], [12, 2]], 17/589824], [[[1, 5], [2, 2], [4, 5], [16, 1]], 3469/301989888], [[[1, 5], [2, 2], [4, 6], [7, 1]], 125/132120576], [[[1, 5], [2, 2], [4, 6], [14, 1]], 101/132120576], [[[1, 5], [2, 2], [4, 7], [5, 1]], 169/283115520], [[[1, 5], [2, 2], [4, 7], [8, 1]], 3047/2415919104], [[[1, 5], [2, 2], [4, 7], [10, 1]], 1/31457280], [[[1, 5], [2, 2], [4, 7], [12, 1]], 83/37748736], [[[1, 5], [2, 2], [4, 8], [6, 1]], 895/21743271936], [[[1, 5], [2, 2], [5, 3], [14, 1]], 1/28000], [[[1, 5], [2, 2], [6, 1], [8, 4]], 19/9437184], [[[1, 5], [2, 2], [7, 1], [8, 3]], 1/43008], [[[1, 5], [2, 4], [3, 1], [4, 7]], 85133/32614907904], [[[1, 5], [2, 4], [3, 2], [4, 6]], 42809/8153726976], [[[1, 5], [2, 4], [3, 2], [8, 3]], 125/7077888], [[[1, 5], [2, 4], [3, 2], [10, 3]], 1/288000], [[[1, 5], [2, 4], [3, 2], [14, 2]], 1/112896], [[[1, 5], [2, 4], [3, 3], [4, 5]], 6661/1528823808], [[[1, 5], [2, 4], [3, 4], [4, 4]], 55/113246208], [[[1, 5], [2, 4], [3, 4], [8, 2]], 155/63700992], [[[1, 5], [2, 4], [3, 4], [10, 2]], 1/691200], [[[1, 5], [2, 4], [3, 4], [16, 1]], 1/663552], [[[1, 5], [2, 4], [3, 5], [4, 3]], 5/47775744], [[[1, 5], [2, 4], [4, 2], [5, 3]], 71/2457600], [[[1, 5], [2, 4], [4, 2], [7, 2]], 115/1204224], [[[1, 5], [2, 4], [4, 2], [8, 3]], 11467/23592960], [[[1, 5], [2, 4], [4, 2], [10, 3]], 79/12288000], [[[1, 5], [2, 4], [4, 2], [14, 2]], 31/1204224], [[[1, 5], [2, 4], [4, 4], [5, 2]], 5779/188743680], [[[1, 5], [2, 4], [4, 4], [6, 4]], 91/1019215872], [[[1, 5], [2, 4], [4, 4], [8, 2]], 244235/603979776], [[[1, 5], [2, 4], [4, 4], [10, 2]], 9737/943718400], [[[1, 5], [2, 4], [4, 4], [12, 2]], 2015/21233664], [[[1, 5], [2, 4], [4, 4], [16, 1]], 60529/503316480], [[[1, 5], [2, 4], [4, 5], [6, 3]], 1403/5096079360], [[[1, 5], [2, 4], [4, 5], [7, 1]], 40585/1585446912], [[[1, 5], [2, 4], [4, 5], [14, 1]], 11651/528482304], [[[1, 5], [2, 4], [4, 6], [5, 1]], 4235/452984832], [[[1, 5], [2, 4], [4, 6], [6, 2]], 21587/8153726976], [[[1, 5], [2, 4], [4, 6], [8, 1]], 440003/12079595520], [[[1, 5], [2, 4], [4, 6], [10, 1]], 10297/2264924160], [[[1, 5], [2, 4], [4, 6], [12, 1]], 50627/1358954496], [[[1, 5], [2, 4], [4, 7], [6, 1]], 124039/54358179840], [[[1, 5], [2, 4], [5, 1], [8, 3]], 1291/47185920], [[[1, 5], [2, 4], [5, 1], [10, 3]], 1/120000], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/31360], [[[1, 5], [2, 4], [5, 2], [6, 4]], 1/2073600], [[[1, 5], [2, 4], [5, 2], [8, 2]], 829/19660800], [[[1, 5], [2, 4], [5, 2], [10, 2]], 43/120000], [[[1, 5], [2, 4], [5, 2], [16, 1]], 1/51200], [[[1, 5], [2, 4], [5, 3], [6, 2]], 1/96000], [[[1, 5], [2, 4], [5, 3], [8, 1]], 1/76800], [[[1, 5], [2, 4], [5, 3], [10, 1]], 23/240000], [[[1, 5], [2, 4], [6, 2], [7, 2]], 1/37632], [[[1, 5], [2, 4], [6, 2], [8, 3]], 683/70778880], [[[1, 5], [2, 4], [6, 4], [8, 2]], 23/63700992], [[[1, 5], [2, 4], [7, 2], [8, 1]], 1/50176], [[[1, 5], [2, 4], [7, 2], [10, 1]], 3/31360], [[[1, 5], [2, 4], [8, 2], [10, 2]], 187/19660800], [[[1, 5], [2, 4], [8, 2], [16, 1]], 145/6291456], [[[1, 5], [2, 4], [8, 3], [10, 1]], 459/26214400], [[[1, 5], [2, 6], [3, 1], [4, 6]], 2630351/163074539520], [[[1, 5], [2, 6], [3, 1], [5, 3]], 31/138240000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/8957952], [[[1, 5], [2, 6], [3, 1], [7, 2]], 31/27095040], [[[1, 5], [2, 6], [3, 1], [8, 3]], 3611/283115520], [[[1, 5], [2, 6], [3, 1], [10, 3]], 133/6912000], [[[1, 5], [2, 6], [3, 1], [14, 2]], 5/96768], [[[1, 5], [2, 6], [3, 2], [4, 5]], 204007/13589544960], [[[1, 5], [2, 6], [3, 2], [6, 5]], 431/26873856], [[[1, 5], [2, 6], [3, 3], [4, 4]], 407657/91729428480], [[[1, 5], [2, 6], [3, 3], [6, 4]], 3781/26873856], [[[1, 5], [2, 6], [3, 3], [8, 2]], 887/191102976], [[[1, 5], [2, 6], [3, 3], [10, 2]], 569/49766400], [[[1, 5], [2, 6], [3, 3], [16, 1]], 7/5308416], [[[1, 5], [2, 6], [3, 4], [4, 3]], 3889/3822059520], [[[1, 5], [2, 6], [3, 4], [6, 3]], 623/8957952], [[[1, 5], [2, 6], [3, 4], [14, 1]], 31/13934592], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/497664], [[[1, 5], [2, 6], [3, 5], [8, 1]], 1/15925248], [[[1, 5], [2, 6], [4, 1], [5, 3]], 99/20480000], [[[1, 5], [2, 6], [4, 1], [7, 2]], 43/2408448], [[[1, 5], [2, 6], [4, 1], [8, 3]], 410021/4529848320], [[[1, 5], [2, 6], [4, 1], [10, 3]], 1867/61440000], [[[1, 5], [2, 6], [4, 1], [14, 2]], 9/114688], [[[1, 5], [2, 6], [4, 2], [6, 5]], 497/573308928], [[[1, 5], [2, 6], [4, 3], [5, 2]], 48601/1179648000], [[[1, 5], [2, 6], [4, 3], [6, 4]], 21349/3822059520], [[[1, 5], [2, 6], [4, 3], [8, 2]], 4201061/4529848320], [[[1, 5], [2, 6], [4, 3], [10, 2]], 8917/78643200], [[[1, 5], [2, 6], [4, 3], [12, 2]], 511/10616832], [[[1, 5], [2, 6], [4, 3], [16, 1]], 286009/1811939328], [[[1, 5], [2, 6], [4, 4], [6, 3]], 133519/6115295232], [[[1, 5], [2, 6], [4, 4], [7, 1]], 1853519/23781703680], [[[1, 5], [2, 6], [4, 4], [14, 1]], 39941/377487360], [[[1, 5], [2, 6], [4, 5], [5, 1]], 11521/377487360], [[[1, 5], [2, 6], [4, 5], [6, 2]], 3283/100663296], [[[1, 5], [2, 6], [4, 5], [8, 1]], 77587427/434865438720], [[[1, 5], [2, 6], [4, 5], [10, 1]], 52283/943718400], [[[1, 5], [2, 6], [4, 5], [12, 1]], 772819/6794772480], [[[1, 5], [2, 6], [4, 6], [6, 1]], 813913/40768634880], [[[1, 5], [2, 6], [5, 1], [6, 5]], 13/22394880], [[[1, 5], [2, 6], [5, 2], [6, 3]], 5/331776], [[[1, 5], [2, 6], [5, 2], [7, 1]], 31/64512000], [[[1, 5], [2, 6], [5, 2], [14, 1]], 157/4300800], [[[1, 5], [2, 6], [5, 3], [6, 1]], 37/7680000], [[[1, 5], [2, 6], [6, 1], [7, 2]], 1/50176], [[[1, 5], [2, 6], [6, 1], [8, 3]], 4823/283115520], [[[1, 5], [2, 6], [6, 1], [10, 3]], 19/3072000], [[[1, 5], [2, 6], [6, 1], [14, 2]], 3/200704], [[[1, 5], [2, 6], [6, 3], [8, 2]], 215/15925248], [[[1, 5], [2, 6], [6, 3], [10, 2]], 59/16588800], [[[1, 5], [2, 6], [6, 3], [16, 1]], 43/5308416], [[[1, 5], [2, 6], [6, 4], [7, 1]], 43/6967296], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/663552], [[[1, 5], [2, 6], [6, 4], [18, 1]], 7/2985984], [[[1, 5], [2, 6], [6, 5], [8, 1]], 31/47775744], [[[1, 5], [2, 6], [6, 5], [10, 1]], 7/29859840], [[[1, 5], [2, 6], [7, 1], [8, 2]], 6893/495452160], [[[1, 5], [2, 6], [7, 1], [10, 2]], 971/12902400], [[[1, 5], [2, 6], [7, 1], [16, 1]], 5/458752], [[[1, 5], [2, 6], [8, 2], [14, 1]], 1039/33030144], [[[1, 5], [2, 6], [10, 2], [14, 1]], 43/4300800], [[[1, 5], [2, 6], [14, 1], [16, 1]], 11/458752], [[[1, 5], [2, 8], [3, 1], [4, 5]], 25545773/1522029035520], [[[1, 5], [2, 8], [3, 1], [6, 5]], 1987/143327232], [[[1, 5], [2, 8], [3, 2], [4, 4]], 358631/43486543872], [[[1, 5], [2, 8], [3, 2], [5, 2]], 1559/12386304000], [[[1, 5], [2, 8], [3, 2], [6, 4]], 106399/859963392], [[[1, 5], [2, 8], [3, 2], [8, 2]], 22195/9512681472], [[[1, 5], [2, 8], [3, 2], [10, 2]], 7127/442368000], [[[1, 5], [2, 8], [3, 2], [16, 1]], 127/141557760], [[[1, 5], [2, 8], [3, 3], [4, 3]], 146311/80263249920], [[[1, 5], [2, 8], [3, 3], [6, 3]], 125627/1074954240], [[[1, 5], [2, 8], [3, 3], [7, 1]], 109/1734082560], [[[1, 5], [2, 8], [3, 3], [9, 1]], 109/743178240], [[[1, 5], [2, 8], [3, 3], [14, 1]], 1037/418037760], [[[1, 5], [2, 8], [3, 4], [4, 2]], 53579/428070666240], [[[1, 5], [2, 8], [3, 4], [6, 2]], 11521/1433272320], [[[1, 5], [2, 8], [3, 4], [8, 1]], 377/5733089280], [[[1, 5], [2, 8], [3, 4], [10, 1]], 389/1194393600], [[[1, 5], [2, 8], [3, 5], [4, 1]], 23/2866544640], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/15925248], [[[1, 5], [2, 8], [4, 1], [6, 5]], 2387/573308928], [[[1, 5], [2, 8], [4, 2], [5, 2]], 427961/44040192000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 487165/18345885696], [[[1, 5], [2, 8], [4, 2], [8, 2]], 44498219/253671505920], [[[1, 5], [2, 8], [4, 2], [10, 2]], 4535417/28311552000], [[[1, 5], [2, 8], [4, 2], [12, 2]], 469/159252480], [[[1, 5], [2, 8], [4, 2], [16, 1]], 2001137/45298483200], [[[1, 5], [2, 8], [4, 3], [6, 3]], 69737/955514880], [[[1, 5], [2, 8], [4, 3], [7, 1]], 11886227/332943851520], [[[1, 5], [2, 8], [4, 3], [14, 1]], 67565/452984832], [[[1, 5], [2, 8], [4, 4], [5, 1]], 100618933/3805072588800], [[[1, 5], [2, 8], [4, 4], [6, 2]], 28346987/326149079040], [[[1, 5], [2, 8], [4, 4], [8, 1]], 931253509/5073430118400], [[[1, 5], [2, 8], [4, 4], [10, 1]], 42789571/380507258880], [[[1, 5], [2, 8], [4, 4], [12, 1]], 73759501/1141521776640], [[[1, 5], [2, 8], [4, 5], [6, 1]], 50611231/1087163596800], [[[1, 5], [2, 8], [5, 1], [6, 4]], 6347/716636160], [[[1, 5], [2, 8], [5, 1], [8, 2]], 151093/39636172800], [[[1, 5], [2, 8], [5, 1], [10, 2]], 22393/276480000], [[[1, 5], [2, 8], [5, 1], [16, 1]], 961/353894400], [[[1, 5], [2, 8], [5, 2], [6, 2]], 4039/442368000], [[[1, 5], [2, 8], [5, 2], [8, 1]], 301/196608000], [[[1, 5], [2, 8], [5, 2], [10, 1]], 16759/1105920000], [[[1, 5], [2, 8], [6, 2], [8, 2]], 19127/1132462080], [[[1, 5], [2, 8], [6, 2], [10, 2]], 6707/176947200], [[[1, 5], [2, 8], [6, 2], [16, 1]], 875/56623104], [[[1, 5], [2, 8], [6, 3], [7, 1]], 829/46448640], [[[1, 5], [2, 8], [6, 3], [14, 1]], 187/8257536], [[[1, 5], [2, 8], [6, 3], [18, 1]], 233/10616832], [[[1, 5], [2, 8], [6, 4], [8, 1]], 4951/637009920], [[[1, 5], [2, 8], [6, 4], [10, 1]], 677/79626240], [[[1, 5], [2, 8], [7, 1], [14, 1]], 1201/54190080], [[[1, 5], [2, 8], [8, 1], [10, 2]], 32903/1179648000], [[[1, 5], [2, 8], [8, 1], [16, 1]], 2419/566231040], [[[1, 5], [2, 8], [8, 2], [10, 1]], 303/20971520], [[[1, 5], [2, 8], [10, 1], [16, 1]], 709/47185920], [[[1, 5], [2, 10], [3, 1], [4, 4]], 20004367/3669177139200], [[[1, 5], [2, 10], [3, 1], [5, 2]], 123437/2229534720000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 158117/5733089280], [[[1, 5], [2, 10], [3, 1], [8, 2]], 5007829/8561413324800], [[[1, 5], [2, 10], [3, 1], [10, 2]], 1195139/148635648000], [[[1, 5], [2, 10], [3, 1], [16, 1]], 1667/6794772480], [[[1, 5], [2, 10], [3, 2], [4, 3]], 30349/20384317440], [[[1, 5], [2, 10], [3, 2], [6, 3]], 305863/6019743744], [[[1, 5], [2, 10], [3, 2], [7, 1]], 39623/936404582400], [[[1, 5], [2, 10], [3, 2], [9, 1]], 779/26754416640], [[[1, 5], [2, 10], [3, 2], [14, 1]], 47591/31213486080], [[[1, 5], [2, 10], [3, 3], [4, 2]], 253651/1284211998720], [[[1, 5], [2, 10], [3, 3], [5, 1]], 13969/1003290624000], [[[1, 5], [2, 10], [3, 3], [6, 2]], 240413/40131624960], [[[1, 5], [2, 10], [3, 3], [8, 1]], 8357/128421199872], [[[1, 5], [2, 10], [3, 3], [10, 1]], 10841/50164531200], [[[1, 5], [2, 10], [3, 4], [4, 1]], 17807/1926317998080], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1573/22932357120], [[[1, 5], [2, 10], [4, 1], [5, 2]], 2561/5662310400], [[[1, 5], [2, 10], [4, 1], [6, 4]], 3792041/229323571200], [[[1, 5], [2, 10], [4, 1], [8, 2]], 25448377/3805072588800], [[[1, 5], [2, 10], [4, 1], [10, 2]], 100569/2621440000], [[[1, 5], [2, 10], [4, 1], [16, 1]], 4582651/1522029035520], [[[1, 5], [2, 10], [4, 2], [6, 3]], 33412247/642105999360], [[[1, 5], [2, 10], [4, 2], [7, 1]], 15256793/3329438515200], [[[1, 5], [2, 10], [4, 2], [14, 1]], 30137893/665887703040], [[[1, 5], [2, 10], [4, 3], [5, 1]], 8710903/1426902220800], [[[1, 5], [2, 10], [4, 3], [6, 2]], 1354697/20384317440], [[[1, 5], [2, 10], [4, 3], [8, 1]], 8518329961/182643484262400], [[[1, 5], [2, 10], [4, 3], [10, 1]], 3177817/59454259200], [[[1, 5], [2, 10], [4, 3], [12, 1]], 28089703/2853804441600], [[[1, 5], [2, 10], [4, 4], [6, 1]], 124733519/3652869685248], [[[1, 5], [2, 10], [5, 1], [6, 3]], 89843/12541132800], [[[1, 5], [2, 10], [5, 1], [7, 1]], 13969/130056192000], [[[1, 5], [2, 10], [5, 1], [14, 1]], 106093/26011238400], [[[1, 5], [2, 10], [5, 2], [6, 1]], 85769/148635648000], [[[1, 5], [2, 10], [6, 1], [8, 2]], 409927/163074539520], [[[1, 5], [2, 10], [6, 1], [10, 2]], 87017/3538944000], [[[1, 5], [2, 10], [6, 1], [16, 1]], 973/377487360], [[[1, 5], [2, 10], [6, 2], [7, 1]], 113159/20808990720], [[[1, 5], [2, 10], [6, 2], [14, 1]], 901/41287680], [[[1, 5], [2, 10], [6, 2], [18, 1]], 6089/637009920], [[[1, 5], [2, 10], [6, 3], [8, 1]], 600773/76441190400], [[[1, 5], [2, 10], [6, 3], [10, 1]], 177679/9555148800], [[[1, 5], [2, 10], [7, 1], [8, 1]], 29179/83235962880], [[[1, 5], [2, 10], [7, 1], [10, 1]], 181271/52022476800], [[[1, 5], [2, 10], [8, 1], [14, 1]], 16391/3303014400], [[[1, 5], [2, 10], [10, 1], [14, 1]], 21629/1238630400], [[[1, 5], [2, 12], [3, 1], [4, 3]], 102490189/164379135836160], [[[1, 5], [2, 12], [3, 1], [6, 3]], 9094139/1284211998720], [[[1, 5], [2, 12], [3, 1], [7, 1]], 32257/3329438515200], [[[1, 5], [2, 12], [3, 1], [9, 1]], 44203/4280706662400], [[[1, 5], [2, 12], [3, 1], [14, 1]], 201419/535088332800], [[[1, 5], [2, 12], [3, 2], [4, 2]], 3818303/34245653299200], [[[1, 5], [2, 12], [3, 2], [5, 1]], 9281/2140353331200], [[[1, 5], [2, 12], [3, 2], [6, 2]], 47417791/19263179980800], [[[1, 5], [2, 12], [3, 2], [8, 1]], 167561/8561413324800], [[[1, 5], [2, 12], [3, 2], [10, 1]], 685723/5350883328000], [[[1, 5], [2, 12], [3, 3], [4, 1]], 89027/12842119987200], [[[1, 5], [2, 12], [3, 3], [6, 1]], 639001/9631589990400], [[[1, 5], [2, 12], [4, 1], [6, 3]], 216326063/25684239974400], [[[1, 5], [2, 12], [4, 1], [7, 1]], 7207747/39953262182400], [[[1, 5], [2, 12], [4, 1], [14, 1]], 2153917/634178764800], [[[1, 5], [2, 12], [4, 2], [5, 1]], 1637281/3567255552000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 203584411/14676708556800], [[[1, 5], [2, 12], [4, 2], [8, 1]], 982576627/304405807104000], [[[1, 5], [2, 12], [4, 2], [10, 1]], 34650739/4756340736000], [[[1, 5], [2, 12], [4, 2], [12, 1]], 7676479/17122826649600], [[[1, 5], [2, 12], [4, 3], [6, 1]], 87476759/10958609055744], [[[1, 5], [2, 12], [5, 1], [6, 2]], 13882493/16052649984000], [[[1, 5], [2, 12], [5, 1], [8, 1]], 2552819/57076088832000], [[[1, 5], [2, 12], [5, 1], [10, 1]], 2693689/5096079360000], [[[1, 5], [2, 12], [6, 1], [7, 1]], 323201/1248539443200], [[[1, 5], [2, 12], [6, 1], [14, 1]], 1964233/665887703040], [[[1, 5], [2, 12], [6, 1], [18, 1]], 323459/856141332480], [[[1, 5], [2, 12], [6, 2], [8, 1]], 3148417/2446118092800], [[[1, 5], [2, 12], [6, 2], [10, 1]], 12766907/2140353331200], [[[1, 5], [2, 12], [8, 1], [10, 1]], 11310517/19025362944000], [[[1, 5], [2, 14], [3, 1], [4, 2]], 24392519/821895679180800], [[[1, 5], [2, 14], [3, 1], [5, 1]], 100159/85614133248000], [[[1, 5], [2, 14], [3, 1], [6, 2]], 8692433/25684239974400], [[[1, 5], [2, 14], [3, 1], [8, 1]], 48943/12842119987200], [[[1, 5], [2, 14], [3, 1], [10, 1]], 1584707/64210599936000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 727939/205473919795200], [[[1, 5], [2, 14], [3, 2], [6, 1]], 125977/7705271992320], [[[1, 5], [2, 14], [4, 1], [5, 1]], 54911/4280706662400], [[[1, 5], [2, 14], [4, 1], [6, 2]], 24459221/29353417113600], [[[1, 5], [2, 14], [4, 1], [8, 1]], 141497171/2191721811148800], [[[1, 5], [2, 14], [4, 1], [10, 1]], 5770019/17836277760000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 61241/11415217766400], [[[1, 5], [2, 14], [4, 2], [6, 1]], 15203593/23482733690880], [[[1, 5], [2, 14], [5, 1], [6, 1]], 686551/32105299968000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 101449/2378170368000], [[[1, 5], [2, 14], [6, 1], [10, 1]], 1137257/3170893824000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 3125383/5479304527872000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 94112623/28766348771328000], [[[1, 5], [2, 16], [4, 1], [6, 1]], 313051477/16437913583616000], [[[1, 5], [3, 1], [4, 3], [8, 3]], 29/14155776], [[[1, 5], [3, 1], [4, 5], [16, 1]], 19/28311552], [[[1, 5], [3, 1], [4, 6], [7, 1]], 1/33030144], [[[1, 5], [3, 1], [4, 6], [9, 1]], 1/14155776], [[[1, 5], [3, 1], [4, 7], [8, 1]], 5/169869312], [[[1, 5], [3, 2], [4, 4], [5, 2]], 1/22118400], [[[1, 5], [3, 2], [4, 4], [8, 2]], 1/786432], [[[1, 5], [3, 2], [4, 4], [12, 2]], 1/331776], [[[1, 5], [3, 2], [4, 6], [5, 1]], 1/35389440], [[[1, 5], [3, 2], [4, 6], [12, 1]], 1/5308416], [[[1, 5], [3, 2], [5, 2], [8, 2]], 1/460800], [[[1, 5], [3, 3], [4, 1], [8, 3]], 1/663552], [[[1, 5], [3, 3], [4, 3], [16, 1]], 1/442368], [[[1, 5], [3, 3], [4, 4], [7, 1]], 1/9289728], [[[1, 5], [3, 3], [4, 4], [9, 1]], 1/3981312], [[[1, 5], [3, 3], [4, 5], [8, 1]], 7/31850496], [[[1, 5], [3, 3], [7, 1], [8, 2]], 1/193536], [[[1, 5], [3, 3], [8, 2], [9, 1]], 1/82944], [[[1, 5], [3, 4], [4, 2], [8, 2]], 1/5308416], [[[1, 5], [3, 4], [4, 4], [12, 1]], 1/1990656], [[[1, 5], [4, 1], [7, 1], [8, 3]], 1/172032], [[[1, 5], [4, 2], [5, 2], [8, 2]], 9/1638400], [[[1, 5], [4, 2], [5, 3], [12, 1]], 1/48000], [[[1, 5], [4, 3], [7, 1], [16, 1]], 1/114688], [[[1, 5], [4, 4], [5, 1], [8, 2]], 1/737280], [[[1, 5], [4, 4], [5, 1], [12, 2]], 1/92160], [[[1, 5], [4, 4], [5, 2], [12, 1]], 1/122880], [[[1, 5], [4, 4], [8, 1], [16, 1]], 7/6291456], [[[1, 5], [4, 4], [8, 2], [12, 1]], 3/1048576], [[[1, 5], [4, 5], [7, 1], [8, 1]], 5/16515072], [[[1, 5], [4, 6], [5, 1], [12, 1]], 1/1474560], [[[1, 6], [2, 1], [3, 1], [4, 8]], 17/2415919104], [[[1, 6], [2, 1], [3, 1], [5, 4]], 1/60000], [[[1, 6], [2, 1], [3, 1], [8, 4]], 1/1048576], [[[1, 6], [2, 1], [3, 2], [4, 7]], 23/339738624], [[[1, 6], [2, 1], [3, 3], [4, 6]], 5/63700992], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/216000], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/42336], [[[1, 6], [2, 1], [3, 3], [8, 3]], 1/663552], [[[1, 6], [2, 1], [3, 4], [4, 5]], 101/382205952], [[[1, 6], [2, 1], [3, 5], [4, 4]], 19/286654464], [[[1, 6], [2, 1], [3, 5], [8, 2]], 1/5971968], [[[1, 6], [2, 1], [4, 1], [5, 4]], 1/80000], [[[1, 6], [2, 1], [4, 1], [8, 4]], 27/20971520], [[[1, 6], [2, 1], [4, 3], [5, 3]], 29/3072000], [[[1, 6], [2, 1], [4, 3], [7, 2]], 1/200704], [[[1, 6], [2, 1], [4, 3], [8, 3]], 2179/283115520], [[[1, 6], [2, 1], [4, 5], [5, 2]], 289/117964800], [[[1, 6], [2, 1], [4, 5], [8, 2]], 47/50331648], [[[1, 6], [2, 1], [4, 5], [12, 2]], 1/196608], [[[1, 6], [2, 1], [4, 5], [16, 1]], 1381/4529848320], [[[1, 6], [2, 1], [4, 6], [7, 1]], 1/11010048], [[[1, 6], [2, 1], [4, 7], [5, 1]], 107/566231040], [[[1, 6], [2, 1], [4, 7], [8, 1]], 6677/108716359680], [[[1, 6], [2, 1], [4, 7], [10, 1]], 1/188743680], [[[1, 6], [2, 1], [4, 7], [12, 1]], 1/2359296], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/28000], [[[1, 6], [2, 1], [7, 1], [8, 3]], 1/172032], [[[1, 6], [2, 3], [3, 1], [4, 7]], 40499/32614907904], [[[1, 6], [2, 3], [3, 2], [4, 6]], 10405/2717908992], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/72000], [[[1, 6], [2, 3], [3, 2], [7, 2]], 1/37632], [[[1, 6], [2, 3], [3, 2], [8, 3]], 97/7077888], [[[1, 6], [2, 3], [3, 3], [4, 5]], 8701/1528823808], [[[1, 6], [2, 3], [3, 4], [4, 4]], 1741/509607936], [[[1, 6], [2, 3], [3, 4], [5, 2]], 1/414720], [[[1, 6], [2, 3], [3, 4], [8, 2]], 137/31850496], [[[1, 6], [2, 3], [3, 4], [10, 2]], 1/691200], [[[1, 6], [2, 3], [3, 4], [16, 1]], 1/221184], [[[1, 6], [2, 3], [3, 5], [4, 3]], 19/47775744], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/870912], [[[1, 6], [2, 3], [3, 5], [9, 1]], 1/373248], [[[1, 6], [2, 3], [3, 5], [14, 1]], 1/1306368], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/23887872], [[[1, 6], [2, 3], [4, 2], [5, 3]], 419/6144000], [[[1, 6], [2, 3], [4, 2], [7, 2]], 1/9408], [[[1, 6], [2, 3], [4, 2], [8, 3]], 2849/15728640], [[[1, 6], [2, 3], [4, 4], [5, 2]], 7943/188743680], [[[1, 6], [2, 3], [4, 4], [8, 2]], 68063/452984832], [[[1, 6], [2, 3], [4, 4], [10, 2]], 14341/14155776000], [[[1, 6], [2, 3], [4, 4], [12, 2]], 2219/53084160], [[[1, 6], [2, 3], [4, 4], [16, 1]], 61741/1509949440], [[[1, 6], [2, 3], [4, 5], [6, 3]], 61/1698693120], [[[1, 6], [2, 3], [4, 5], [7, 1]], 19879/1585446912], [[[1, 6], [2, 3], [4, 5], [14, 1]], 1151/176160768], [[[1, 6], [2, 3], [4, 6], [5, 1]], 91657/11324620800], [[[1, 6], [2, 3], [4, 6], [6, 2]], 3149/40768634880], [[[1, 6], [2, 3], [4, 6], [8, 1]], 174277/12079595520], [[[1, 6], [2, 3], [4, 6], [10, 1]], 4061/3774873600], [[[1, 6], [2, 3], [4, 6], [12, 1]], 30283/1698693120], [[[1, 6], [2, 3], [4, 7], [6, 1]], 37457/54358179840], [[[1, 6], [2, 3], [5, 1], [7, 2]], 1/31360], [[[1, 6], [2, 3], [5, 1], [8, 3]], 853/47185920], [[[1, 6], [2, 3], [5, 2], [8, 2]], 307/6553600], [[[1, 6], [2, 3], [5, 2], [10, 2]], 47/480000], [[[1, 6], [2, 3], [5, 2], [16, 1]], 3/51200], [[[1, 6], [2, 3], [5, 3], [6, 2]], 1/108000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 17/384000], [[[1, 6], [2, 3], [5, 3], [10, 1]], 53/240000], [[[1, 6], [2, 3], [6, 2], [7, 2]], 1/48384], [[[1, 6], [2, 3], [6, 2], [8, 3]], 103/70778880], [[[1, 6], [2, 3], [7, 2], [8, 1]], 3/50176], [[[1, 6], [2, 3], [7, 2], [10, 1]], 1/13440], [[[1, 6], [2, 3], [8, 2], [10, 2]], 31/294912000], [[[1, 6], [2, 3], [8, 2], [16, 1]], 31/6291456], [[[1, 6], [2, 3], [8, 3], [10, 1]], 247/78643200], [[[1, 6], [2, 5], [3, 1], [4, 6]], 813913/40768634880], [[[1, 6], [2, 5], [3, 1], [5, 3]], 19/3072000], [[[1, 6], [2, 5], [3, 1], [7, 2]], 3/200704], [[[1, 6], [2, 5], [3, 1], [8, 3]], 4823/283115520], [[[1, 6], [2, 5], [3, 1], [10, 3]], 37/7680000], [[[1, 6], [2, 5], [3, 1], [14, 2]], 1/50176], [[[1, 6], [2, 5], [3, 2], [4, 5]], 3283/100663296], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/497664], [[[1, 6], [2, 5], [3, 3], [4, 4]], 133519/6115295232], [[[1, 6], [2, 5], [3, 3], [5, 2]], 59/16588800], [[[1, 6], [2, 5], [3, 3], [6, 4]], 623/8957952], [[[1, 6], [2, 5], [3, 3], [8, 2]], 215/15925248], [[[1, 6], [2, 5], [3, 3], [10, 2]], 5/331776], [[[1, 6], [2, 5], [3, 3], [16, 1]], 43/5308416], [[[1, 6], [2, 5], [3, 4], [4, 3]], 21349/3822059520], [[[1, 6], [2, 5], [3, 4], [6, 3]], 3781/26873856], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/663552], [[[1, 6], [2, 5], [3, 4], [9, 1]], 7/2985984], [[[1, 6], [2, 5], [3, 4], [14, 1]], 43/6967296], [[[1, 6], [2, 5], [3, 5], [4, 2]], 497/573308928], [[[1, 6], [2, 5], [3, 5], [5, 1]], 7/29859840], [[[1, 6], [2, 5], [3, 5], [6, 2]], 431/26873856], [[[1, 6], [2, 5], [3, 5], [8, 1]], 31/47775744], [[[1, 6], [2, 5], [3, 5], [10, 1]], 13/22394880], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/8957952], [[[1, 6], [2, 5], [4, 1], [5, 3]], 1867/61440000], [[[1, 6], [2, 5], [4, 1], [7, 2]], 9/114688], [[[1, 6], [2, 5], [4, 1], [8, 3]], 410021/4529848320], [[[1, 6], [2, 5], [4, 1], [10, 3]], 99/20480000], [[[1, 6], [2, 5], [4, 1], [14, 2]], 43/2408448], [[[1, 6], [2, 5], [4, 3], [5, 2]], 8917/78643200], [[[1, 6], [2, 5], [4, 3], [6, 4]], 3889/3822059520], [[[1, 6], [2, 5], [4, 3], [8, 2]], 4201061/4529848320], [[[1, 6], [2, 5], [4, 3], [10, 2]], 48601/1179648000], [[[1, 6], [2, 5], [4, 3], [12, 2]], 511/10616832], [[[1, 6], [2, 5], [4, 3], [16, 1]], 286009/1811939328], [[[1, 6], [2, 5], [4, 4], [6, 3]], 407657/91729428480], [[[1, 6], [2, 5], [4, 4], [7, 1]], 39941/377487360], [[[1, 6], [2, 5], [4, 4], [14, 1]], 1853519/23781703680], [[[1, 6], [2, 5], [4, 5], [5, 1]], 52283/943718400], [[[1, 6], [2, 5], [4, 5], [6, 2]], 204007/13589544960], [[[1, 6], [2, 5], [4, 5], [8, 1]], 77587427/434865438720], [[[1, 6], [2, 5], [4, 5], [10, 1]], 11521/377487360], [[[1, 6], [2, 5], [4, 5], [12, 1]], 772819/6794772480], [[[1, 6], [2, 5], [4, 6], [6, 1]], 2630351/163074539520], [[[1, 6], [2, 5], [5, 2], [6, 3]], 569/49766400], [[[1, 6], [2, 5], [5, 2], [7, 1]], 43/4300800], [[[1, 6], [2, 5], [5, 2], [14, 1]], 971/12902400], [[[1, 6], [2, 5], [5, 3], [6, 1]], 133/6912000], [[[1, 6], [2, 5], [6, 1], [7, 2]], 5/96768], [[[1, 6], [2, 5], [6, 1], [8, 3]], 3611/283115520], [[[1, 6], [2, 5], [6, 1], [10, 3]], 31/138240000], [[[1, 6], [2, 5], [6, 1], [14, 2]], 31/27095040], [[[1, 6], [2, 5], [6, 3], [8, 2]], 887/191102976], [[[1, 6], [2, 5], [6, 3], [16, 1]], 7/5308416], [[[1, 6], [2, 5], [6, 4], [7, 1]], 31/13934592], [[[1, 6], [2, 5], [6, 5], [8, 1]], 1/15925248], [[[1, 6], [2, 5], [7, 1], [8, 2]], 1039/33030144], [[[1, 6], [2, 5], [7, 1], [10, 2]], 157/4300800], [[[1, 6], [2, 5], [7, 1], [16, 1]], 11/458752], [[[1, 6], [2, 5], [8, 2], [14, 1]], 6893/495452160], [[[1, 6], [2, 5], [10, 2], [14, 1]], 31/64512000], [[[1, 6], [2, 5], [14, 1], [16, 1]], 5/458752], [[[1, 6], [2, 7], [3, 1], [4, 5]], 79533119/1522029035520], [[[1, 6], [2, 7], [3, 1], [6, 5]], 1313/238878720], [[[1, 6], [2, 7], [3, 2], [4, 4]], 39574907/978447237120], [[[1, 6], [2, 7], [3, 2], [5, 2]], 2681/1327104000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 28945/286654464], [[[1, 6], [2, 7], [3, 2], [8, 2]], 95173/10192158720], [[[1, 6], [2, 7], [3, 2], [10, 2]], 15113/530841600], [[[1, 6], [2, 7], [3, 2], [16, 1]], 2057/424673280], [[[1, 6], [2, 7], [3, 3], [4, 3]], 565553/40131624960], [[[1, 6], [2, 7], [3, 3], [6, 3]], 52579/214990848], [[[1, 6], [2, 7], [3, 3], [7, 1]], 1871/1672151040], [[[1, 6], [2, 7], [3, 3], [9, 1]], 127/79626240], [[[1, 6], [2, 7], [3, 3], [14, 1]], 7/663552], [[[1, 6], [2, 7], [3, 4], [4, 2]], 93377/45864714240], [[[1, 6], [2, 7], [3, 4], [5, 1]], 863/3583180800], [[[1, 6], [2, 7], [3, 4], [6, 2]], 60187/1433272320], [[[1, 6], [2, 7], [3, 4], [8, 1]], 1063/1146617856], [[[1, 6], [2, 7], [3, 4], [10, 1]], 763/398131200], [[[1, 6], [2, 7], [3, 5], [4, 1]], 389/2866544640], [[[1, 6], [2, 7], [3, 5], [6, 1]], 2347/2149908480], [[[1, 6], [2, 7], [4, 1], [6, 5]], 1027/955514880], [[[1, 6], [2, 7], [4, 2], [5, 2]], 267467/5662310400], [[[1, 6], [2, 7], [4, 2], [6, 4]], 521741/45864714240], [[[1, 6], [2, 7], [4, 2], [8, 2]], 83617/251658240], [[[1, 6], [2, 7], [4, 2], [10, 2]], 3370429/28311552000], [[[1, 6], [2, 7], [4, 2], [12, 2]], 41/7077888], [[[1, 6], [2, 7], [4, 2], [16, 1]], 1276129/15099494400], [[[1, 6], [2, 7], [4, 3], [6, 3]], 34993/764411904], [[[1, 6], [2, 7], [4, 3], [7, 1]], 36775649/332943851520], [[[1, 6], [2, 7], [4, 3], [14, 1]], 2848157/15854469120], [[[1, 6], [2, 7], [4, 4], [5, 1]], 114274463/1358954496000], [[[1, 6], [2, 7], [4, 4], [6, 2]], 87523529/978447237120], [[[1, 6], [2, 7], [4, 4], [8, 1]], 822954451/2174327193600], [[[1, 6], [2, 7], [4, 4], [10, 1]], 63362231/452984832000], [[[1, 6], [2, 7], [4, 4], [12, 1]], 26095793/203843174400], [[[1, 6], [2, 7], [4, 5], [6, 1]], 25546727/362387865600], [[[1, 6], [2, 7], [5, 1], [6, 4]], 6983/1194393600], [[[1, 6], [2, 7], [5, 1], [8, 2]], 40621/3538944000], [[[1, 6], [2, 7], [5, 1], [10, 2]], 68003/737280000], [[[1, 6], [2, 7], [5, 1], [16, 1]], 3409/353894400], [[[1, 6], [2, 7], [5, 2], [6, 2]], 12713/530841600], [[[1, 6], [2, 7], [5, 2], [8, 1]], 103/13107200], [[[1, 6], [2, 7], [5, 2], [10, 1]], 120023/2211840000], [[[1, 6], [2, 7], [6, 2], [8, 2]], 181591/10192158720], [[[1, 6], [2, 7], [6, 2], [10, 2]], 17549/1327104000], [[[1, 6], [2, 7], [6, 2], [16, 1]], 233/18874368], [[[1, 6], [2, 7], [6, 3], [7, 1]], 269/13934592], [[[1, 6], [2, 7], [6, 3], [14, 1]], 12899/1672151040], [[[1, 6], [2, 7], [6, 3], [18, 1]], 2057/238878720], [[[1, 6], [2, 7], [6, 4], [8, 1]], 2573/637009920], [[[1, 6], [2, 7], [6, 4], [10, 1]], 8753/3583180800], [[[1, 6], [2, 7], [7, 1], [14, 1]], 1/24576], [[[1, 6], [2, 7], [8, 1], [10, 2]], 24551/1179648000], [[[1, 6], [2, 7], [8, 1], [16, 1]], 649/75497472], [[[1, 6], [2, 7], [8, 2], [10, 1]], 42949/2359296000], [[[1, 6], [2, 7], [10, 1], [16, 1]], 781/47185920], [[[1, 6], [2, 9], [3, 1], [4, 4]], 2663836529/91321742131200], [[[1, 6], [2, 9], [3, 1], [5, 2]], 33703/49545216000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 114389/3822059520], [[[1, 6], [2, 9], [3, 1], [8, 2]], 4784867/1902536294400], [[[1, 6], [2, 9], [3, 1], [10, 2]], 301321/17694720000], [[[1, 6], [2, 9], [3, 1], [16, 1]], 7963/5284823040], [[[1, 6], [2, 9], [3, 2], [4, 3]], 1094983/85614133248], [[[1, 6], [2, 9], [3, 2], [6, 3]], 316829/2866544640], [[[1, 6], [2, 9], [3, 2], [7, 1]], 391/693633024], [[[1, 6], [2, 9], [3, 2], [9, 1]], 1667/3822059520], [[[1, 6], [2, 9], [3, 2], [14, 1]], 27821/4459069440], [[[1, 6], [2, 9], [3, 3], [4, 2]], 979283/428070666240], [[[1, 6], [2, 9], [3, 3], [5, 1]], 26687/133772083200], [[[1, 6], [2, 9], [3, 3], [6, 2]], 65543/2006581248], [[[1, 6], [2, 9], [3, 3], [8, 1]], 72689/128421199872], [[[1, 6], [2, 9], [3, 3], [10, 1]], 211/119439360], [[[1, 6], [2, 9], [3, 4], [4, 1]], 78235/385263599616], [[[1, 6], [2, 9], [3, 4], [6, 1]], 14221/13377208320], [[[1, 6], [2, 9], [4, 1], [5, 2]], 152489/39636172800], [[[1, 6], [2, 9], [4, 1], [6, 4]], 3127001/229323571200], [[[1, 6], [2, 9], [4, 1], [8, 2]], 26786023/1268357529600], [[[1, 6], [2, 9], [4, 1], [10, 2]], 133399/2621440000], [[[1, 6], [2, 9], [4, 1], [16, 1]], 14021401/1522029035520], [[[1, 6], [2, 9], [4, 2], [6, 3]], 27676591/458647142400], [[[1, 6], [2, 9], [4, 2], [7, 1]], 13078549/554906419200], [[[1, 6], [2, 9], [4, 2], [14, 1]], 6985129/79272345600], [[[1, 6], [2, 9], [4, 3], [5, 1]], 12943091/407686348800], [[[1, 6], [2, 9], [4, 3], [6, 2]], 80039993/713451110400], [[[1, 6], [2, 9], [4, 3], [8, 1]], 8998263913/60881161420800], [[[1, 6], [2, 9], [4, 3], [10, 1]], 555301741/4756340736000], [[[1, 6], [2, 9], [4, 3], [12, 1]], 944327/29727129600], [[[1, 6], [2, 9], [4, 4], [6, 1]], 3017964233/34245653299200], [[[1, 6], [2, 9], [5, 1], [6, 3]], 74801/5971968000], [[[1, 6], [2, 9], [5, 1], [7, 1]], 20777/17340825600], [[[1, 6], [2, 9], [5, 1], [14, 1]], 3553/294912000], [[[1, 6], [2, 9], [5, 2], [6, 1]], 40109/10616832000], [[[1, 6], [2, 9], [6, 1], [8, 2]], 8762893/1426902220800], [[[1, 6], [2, 9], [6, 1], [10, 2]], 1252973/53084160000], [[[1, 6], [2, 9], [6, 1], [16, 1]], 6089/1132462080], [[[1, 6], [2, 9], [6, 2], [7, 1]], 353/26542080], [[[1, 6], [2, 9], [6, 2], [14, 1]], 469561/22295347200], [[[1, 6], [2, 9], [6, 2], [18, 1]], 107141/9555148800], [[[1, 6], [2, 9], [6, 3], [8, 1]], 765313/76441190400], [[[1, 6], [2, 9], [6, 3], [10, 1]], 13273/895795200], [[[1, 6], [2, 9], [7, 1], [8, 1]], 177463/83235962880], [[[1, 6], [2, 9], [7, 1], [10, 1]], 3397/309657600], [[[1, 6], [2, 9], [8, 1], [14, 1]], 13639/1415577600], [[[1, 6], [2, 9], [10, 1], [14, 1]], 3467/165888000], [[[1, 6], [2, 11], [3, 1], [4, 3]], 837015307/164379135836160], [[[1, 6], [2, 11], [3, 1], [6, 3]], 35828633/2140353331200], [[[1, 6], [2, 11], [3, 1], [7, 1]], 3722563/29964946636800], [[[1, 6], [2, 11], [3, 1], [9, 1]], 72101/856141332480], [[[1, 6], [2, 11], [3, 1], [14, 1]], 734261/416179814400], [[[1, 6], [2, 11], [3, 2], [4, 2]], 4359377/3424565329920], [[[1, 6], [2, 11], [3, 2], [5, 1]], 78289/1070176665600], [[[1, 6], [2, 11], [3, 2], [6, 2]], 10298773/856141332480], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1593493/8561413324800], [[[1, 6], [2, 11], [3, 2], [10, 1]], 1723823/2140353331200], [[[1, 6], [2, 11], [3, 3], [4, 1]], 1453931/12842119987200], [[[1, 6], [2, 11], [3, 3], [6, 1]], 686057/1070176665600], [[[1, 6], [2, 11], [4, 1], [6, 3]], 392762707/25684239974400], [[[1, 6], [2, 11], [4, 1], [7, 1]], 52904629/39953262182400], [[[1, 6], [2, 11], [4, 1], [14, 1]], 127900439/13317754060800], [[[1, 6], [2, 11], [4, 2], [5, 1]], 100305467/28538044416000], [[[1, 6], [2, 11], [4, 2], [6, 2]], 1211011679/34245653299200], [[[1, 6], [2, 11], [4, 2], [8, 1]], 4405789837/304405807104000], [[[1, 6], [2, 11], [4, 2], [10, 1]], 7014041/297271296000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 542087177/256842399744000], [[[1, 6], [2, 11], [4, 3], [6, 1]], 8300873393/273965226393600], [[[1, 6], [2, 11], [5, 1], [6, 2]], 11716253/3567255552000], [[[1, 6], [2, 11], [5, 1], [8, 1]], 3617713/11415217766400], [[[1, 6], [2, 11], [5, 1], [10, 1]], 9830189/3963617280000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 161029/124853944320], [[[1, 6], [2, 11], [6, 1], [14, 1]], 60797309/9988315545600], [[[1, 6], [2, 11], [6, 1], [18, 1]], 4180109/4280706662400], [[[1, 6], [2, 11], [6, 2], [8, 1]], 559339/163074539520], [[[1, 6], [2, 11], [6, 2], [10, 1]], 26834447/2675441664000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 12479753/6341787648000], [[[1, 6], [2, 13], [3, 1], [4, 2]], 437086963/1369826131968000], [[[1, 6], [2, 13], [3, 1], [5, 1]], 1202801/85614133248000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 33385823/21403533312000], [[[1, 6], [2, 13], [3, 1], [8, 1]], 402259/12842119987200], [[[1, 6], [2, 13], [3, 1], [10, 1]], 1046879/5945425920000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 9353777/205473919795200], [[[1, 6], [2, 13], [3, 2], [6, 1]], 4251643/25684239974400], [[[1, 6], [2, 13], [4, 1], [5, 1]], 1374287/10701766656000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 201981571/68491306598400], [[[1, 6], [2, 13], [4, 1], [8, 1]], 4320915947/10958609055744000], [[[1, 6], [2, 13], [4, 1], [10, 1]], 3580717/2548039680000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 1143817/34245653299200], [[[1, 6], [2, 13], [4, 2], [6, 1]], 13478022329/4109478395904000], [[[1, 6], [2, 13], [5, 1], [6, 1]], 16493303/107017666560000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 3053989/14269022208000], [[[1, 6], [2, 13], [6, 1], [10, 1]], 208586477/183458856960000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 10788089/1420560433152000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 5290127/195689447424000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 1961503471/16437913583616000], [[[1, 7], [2, 2], [3, 1], [4, 7]], 14999/54358179840], [[[1, 7], [2, 2], [3, 2], [4, 6]], 3299/2717908992], [[[1, 7], [2, 2], [3, 2], [5, 3]], 1/24000], [[[1, 7], [2, 2], [3, 2], [7, 2]], 1/12544], [[[1, 7], [2, 2], [3, 2], [8, 3]], 343/70778880], [[[1, 7], [2, 2], [3, 3], [4, 5]], 6365/3057647616], [[[1, 7], [2, 2], [3, 4], [4, 4]], 5087/1528823808], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/138240], [[[1, 7], [2, 2], [3, 4], [8, 2]], 97/31850496], [[[1, 7], [2, 2], [3, 4], [10, 2]], 1/2073600], [[[1, 7], [2, 2], [3, 4], [16, 1]], 1/221184], [[[1, 7], [2, 2], [3, 5], [4, 3]], 179/143327232], [[[1, 7], [2, 2], [3, 5], [7, 1]], 1/290304], [[[1, 7], [2, 2], [3, 5], [9, 1]], 1/124416], [[[1, 7], [2, 2], [3, 5], [14, 1]], 1/1306368], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/7962624], [[[1, 7], [2, 2], [3, 6], [8, 1]], 1/4478976], [[[1, 7], [2, 2], [4, 2], [5, 3]], 319/6144000], [[[1, 7], [2, 2], [4, 2], [7, 2]], 13/301056], [[[1, 7], [2, 2], [4, 2], [8, 3]], 4387/220200960], [[[1, 7], [2, 2], [4, 4], [5, 2]], 6847/314572800], [[[1, 7], [2, 2], [4, 4], [8, 2]], 21217/1132462080], [[[1, 7], [2, 2], [4, 4], [10, 2]], 1531/14155776000], [[[1, 7], [2, 2], [4, 4], [12, 2]], 367/53084160], [[[1, 7], [2, 2], [4, 4], [16, 1]], 15017/4529848320], [[[1, 7], [2, 2], [4, 5], [7, 1]], 8167/2642411520], [[[1, 7], [2, 2], [4, 5], [14, 1]], 1381/7927234560], [[[1, 7], [2, 2], [4, 6], [5, 1]], 27451/11324620800], [[[1, 7], [2, 2], [4, 6], [6, 2]], 299/40768634880], [[[1, 7], [2, 2], [4, 6], [8, 1]], 288073/152202903552], [[[1, 7], [2, 2], [4, 6], [10, 1]], 631/3774873600], [[[1, 7], [2, 2], [4, 6], [12, 1]], 5699/1698693120], [[[1, 7], [2, 2], [4, 7], [6, 1]], 1673/163074539520], [[[1, 7], [2, 2], [5, 1], [7, 2]], 3/31360], [[[1, 7], [2, 2], [5, 1], [8, 3]], 1363/235929600], [[[1, 7], [2, 2], [5, 2], [8, 2]], 359/19660800], [[[1, 7], [2, 2], [5, 2], [10, 2]], 1/480000], [[[1, 7], [2, 2], [5, 2], [16, 1]], 7/153600], [[[1, 7], [2, 2], [5, 3], [6, 2]], 1/432000], [[[1, 7], [2, 2], [5, 3], [8, 1]], 7/192000], [[[1, 7], [2, 2], [5, 3], [10, 1]], 37/240000], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/338688], [[[1, 7], [2, 2], [7, 2], [8, 1]], 1/21504], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/94080], [[[1, 7], [2, 2], [8, 2], [10, 2]], 1/294912000], [[[1, 7], [2, 2], [8, 2], [16, 1]], 31/94371840], [[[1, 7], [2, 2], [8, 3], [10, 1]], 31/235929600], [[[1, 7], [2, 4], [3, 1], [4, 6]], 909971/81537269760], [[[1, 7], [2, 4], [3, 1], [5, 3]], 97/3072000], [[[1, 7], [2, 4], [3, 1], [7, 2]], 31/602112], [[[1, 7], [2, 4], [3, 1], [8, 3]], 599/56623104], [[[1, 7], [2, 4], [3, 1], [10, 3]], 11/23040000], [[[1, 7], [2, 4], [3, 1], [14, 2]], 1/451584], [[[1, 7], [2, 4], [3, 2], [4, 5]], 1125667/40768634880], [[[1, 7], [2, 4], [3, 3], [4, 4]], 190909/6115295232], [[[1, 7], [2, 4], [3, 3], [5, 2]], 67/3317760], [[[1, 7], [2, 4], [3, 3], [6, 4]], 331/26873856], [[[1, 7], [2, 4], [3, 3], [8, 2]], 523/31850496], [[[1, 7], [2, 4], [3, 3], [10, 2]], 61/8294400], [[[1, 7], [2, 4], [3, 3], [16, 1]], 41/2654208], [[[1, 7], [2, 4], [3, 4], [4, 3]], 2105/127401984], [[[1, 7], [2, 4], [3, 4], [6, 3]], 2975/26873856], [[[1, 7], [2, 4], [3, 4], [7, 1]], 43/4644864], [[[1, 7], [2, 4], [3, 4], [9, 1]], 43/2985984], [[[1, 7], [2, 4], [3, 4], [14, 1]], 55/6967296], [[[1, 7], [2, 4], [3, 5], [4, 2]], 1997/573308928], [[[1, 7], [2, 4], [3, 5], [5, 1]], 43/29859840], [[[1, 7], [2, 4], [3, 5], [6, 2]], 347/8957952], [[[1, 7], [2, 4], [3, 5], [8, 1]], 137/71663616], [[[1, 7], [2, 4], [3, 5], [10, 1]], 43/22394880], [[[1, 7], [2, 4], [3, 6], [4, 1]], 35/107495424], [[[1, 7], [2, 4], [3, 6], [6, 1]], 13/8957952], [[[1, 7], [2, 4], [4, 1], [5, 3]], 2647/36864000], [[[1, 7], [2, 4], [4, 1], [7, 2]], 1027/7225344], [[[1, 7], [2, 4], [4, 1], [8, 3]], 180791/4529848320], [[[1, 7], [2, 4], [4, 1], [10, 3]], 31/184320000], [[[1, 7], [2, 4], [4, 1], [14, 2]], 31/36126720], [[[1, 7], [2, 4], [4, 3], [5, 2]], 507757/3538944000], [[[1, 7], [2, 4], [4, 3], [8, 2]], 746449/1761607680], [[[1, 7], [2, 4], [4, 3], [10, 2]], 23761/3538944000], [[[1, 7], [2, 4], [4, 3], [12, 2]], 3211/159252480], [[[1, 7], [2, 4], [4, 3], [16, 1]], 599879/9059696640], [[[1, 7], [2, 4], [4, 4], [6, 3]], 52007/91729428480], [[[1, 7], [2, 4], [4, 4], [7, 1]], 181841/2642411520], [[[1, 7], [2, 4], [4, 4], [14, 1]], 542849/23781703680], [[[1, 7], [2, 4], [4, 5], [5, 1]], 768461/16986931200], [[[1, 7], [2, 4], [4, 5], [6, 2]], 159991/95126814720], [[[1, 7], [2, 4], [4, 5], [8, 1]], 34375913/434865438720], [[[1, 7], [2, 4], [4, 5], [10, 1]], 345809/39636172800], [[[1, 7], [2, 4], [4, 5], [12, 1]], 7711601/142690222080], [[[1, 7], [2, 4], [4, 6], [6, 1]], 787529/163074539520], [[[1, 7], [2, 4], [5, 2], [6, 3]], 5/1990656], [[[1, 7], [2, 4], [5, 2], [7, 1]], 41/860160], [[[1, 7], [2, 4], [5, 2], [14, 1]], 821/12902400], [[[1, 7], [2, 4], [5, 3], [6, 1]], 217/6912000], [[[1, 7], [2, 4], [6, 1], [7, 2]], 5/96768], [[[1, 7], [2, 4], [6, 1], [8, 3]], 373/94371840], [[[1, 7], [2, 4], [6, 1], [10, 3]], 1/138240000], [[[1, 7], [2, 4], [6, 1], [14, 2]], 1/27095040], [[[1, 7], [2, 4], [6, 3], [8, 2]], 89/191102976], [[[1, 7], [2, 4], [6, 4], [7, 1]], 1/4644864], [[[1, 7], [2, 4], [7, 1], [8, 2]], 925/33030144], [[[1, 7], [2, 4], [7, 1], [10, 2]], 9/1433600], [[[1, 7], [2, 4], [7, 1], [16, 1]], 11/458752], [[[1, 7], [2, 4], [8, 2], [14, 1]], 1259/495452160], [[[1, 7], [2, 4], [10, 2], [14, 1]], 1/64512000], [[[1, 7], [2, 4], [14, 1], [16, 1]], 31/20643840], [[[1, 7], [2, 6], [3, 1], [4, 5]], 25546727/362387865600], [[[1, 7], [2, 6], [3, 1], [6, 5]], 2347/2149908480], [[[1, 7], [2, 6], [3, 2], [4, 4]], 87523529/978447237120], [[[1, 7], [2, 6], [3, 2], [5, 2]], 17549/1327104000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 60187/1433272320], [[[1, 7], [2, 6], [3, 2], [8, 2]], 181591/10192158720], [[[1, 7], [2, 6], [3, 2], [10, 2]], 12713/530841600], [[[1, 7], [2, 6], [3, 2], [16, 1]], 233/18874368], [[[1, 7], [2, 6], [3, 3], [4, 3]], 34993/764411904], [[[1, 7], [2, 6], [3, 3], [6, 3]], 52579/214990848], [[[1, 7], [2, 6], [3, 3], [7, 1]], 12899/1672151040], [[[1, 7], [2, 6], [3, 3], [9, 1]], 2057/238878720], [[[1, 7], [2, 6], [3, 3], [14, 1]], 269/13934592], [[[1, 7], [2, 6], [3, 4], [4, 2]], 521741/45864714240], [[[1, 7], [2, 6], [3, 4], [5, 1]], 8753/3583180800], [[[1, 7], [2, 6], [3, 4], [6, 2]], 28945/286654464], [[[1, 7], [2, 6], [3, 4], [8, 1]], 2573/637009920], [[[1, 7], [2, 6], [3, 4], [10, 1]], 6983/1194393600], [[[1, 7], [2, 6], [3, 5], [4, 1]], 1027/955514880], [[[1, 7], [2, 6], [3, 5], [6, 1]], 1313/238878720], [[[1, 7], [2, 6], [4, 1], [6, 5]], 389/2866544640], [[[1, 7], [2, 6], [4, 2], [5, 2]], 3370429/28311552000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 93377/45864714240], [[[1, 7], [2, 6], [4, 2], [8, 2]], 83617/251658240], [[[1, 7], [2, 6], [4, 2], [10, 2]], 267467/5662310400], [[[1, 7], [2, 6], [4, 2], [12, 2]], 41/7077888], [[[1, 7], [2, 6], [4, 2], [16, 1]], 1276129/15099494400], [[[1, 7], [2, 6], [4, 3], [6, 3]], 565553/40131624960], [[[1, 7], [2, 6], [4, 3], [7, 1]], 2848157/15854469120], [[[1, 7], [2, 6], [4, 3], [14, 1]], 36775649/332943851520], [[[1, 7], [2, 6], [4, 4], [5, 1]], 63362231/452984832000], [[[1, 7], [2, 6], [4, 4], [6, 2]], 39574907/978447237120], [[[1, 7], [2, 6], [4, 4], [8, 1]], 822954451/2174327193600], [[[1, 7], [2, 6], [4, 4], [10, 1]], 114274463/1358954496000], [[[1, 7], [2, 6], [4, 4], [12, 1]], 26095793/203843174400], [[[1, 7], [2, 6], [4, 5], [6, 1]], 79533119/1522029035520], [[[1, 7], [2, 6], [5, 1], [6, 4]], 763/398131200], [[[1, 7], [2, 6], [5, 1], [8, 2]], 42949/2359296000], [[[1, 7], [2, 6], [5, 1], [10, 2]], 120023/2211840000], [[[1, 7], [2, 6], [5, 1], [16, 1]], 781/47185920], [[[1, 7], [2, 6], [5, 2], [6, 2]], 15113/530841600], [[[1, 7], [2, 6], [5, 2], [8, 1]], 24551/1179648000], [[[1, 7], [2, 6], [5, 2], [10, 1]], 68003/737280000], [[[1, 7], [2, 6], [6, 2], [8, 2]], 95173/10192158720], [[[1, 7], [2, 6], [6, 2], [10, 2]], 2681/1327104000], [[[1, 7], [2, 6], [6, 2], [16, 1]], 2057/424673280], [[[1, 7], [2, 6], [6, 3], [7, 1]], 7/663552], [[[1, 7], [2, 6], [6, 3], [14, 1]], 1871/1672151040], [[[1, 7], [2, 6], [6, 3], [18, 1]], 127/79626240], [[[1, 7], [2, 6], [6, 4], [8, 1]], 1063/1146617856], [[[1, 7], [2, 6], [6, 4], [10, 1]], 863/3583180800], [[[1, 7], [2, 6], [7, 1], [14, 1]], 1/24576], [[[1, 7], [2, 6], [8, 1], [10, 2]], 103/13107200], [[[1, 7], [2, 6], [8, 1], [16, 1]], 649/75497472], [[[1, 7], [2, 6], [8, 2], [10, 1]], 40621/3538944000], [[[1, 7], [2, 6], [10, 1], [16, 1]], 3409/353894400], [[[1, 7], [2, 8], [3, 1], [4, 4]], 2389396643/30440580710400], [[[1, 7], [2, 8], [3, 1], [5, 2]], 199873/49545216000], [[[1, 7], [2, 8], [3, 1], [6, 4]], 641413/34398535680], [[[1, 7], [2, 8], [3, 1], [8, 2]], 2313067/380507258880], [[[1, 7], [2, 8], [3, 1], [10, 2]], 338531/17694720000], [[[1, 7], [2, 8], [3, 1], [16, 1]], 23837/5662310400], [[[1, 7], [2, 8], [3, 2], [4, 3]], 107440201/2140353331200], [[[1, 7], [2, 8], [3, 2], [6, 3]], 47543/358318080], [[[1, 7], [2, 8], [3, 2], [7, 1]], 9311/2601123840], [[[1, 7], [2, 8], [3, 2], [9, 1]], 7963/2972712960], [[[1, 7], [2, 8], [3, 2], [14, 1]], 63473/4459069440], [[[1, 7], [2, 8], [3, 3], [4, 2]], 804977/61152952320], [[[1, 7], [2, 8], [3, 3], [5, 1]], 23627/14863564800], [[[1, 7], [2, 8], [3, 3], [6, 2]], 256253/2866544640], [[[1, 7], [2, 8], [3, 3], [8, 1]], 126629/45864714240], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1267/199065600], [[[1, 7], [2, 8], [3, 4], [4, 1]], 258323/160526499840], [[[1, 7], [2, 8], [3, 4], [6, 1]], 1901/297271296], [[[1, 7], [2, 8], [4, 1], [5, 2]], 1176983/70778880000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 112439/17836277760], [[[1, 7], [2, 8], [4, 1], [8, 2]], 35143889/951268147200], [[[1, 7], [2, 8], [4, 1], [10, 2]], 19169351/495452160000], [[[1, 7], [2, 8], [4, 1], [16, 1]], 39707449/2536715059200], [[[1, 7], [2, 8], [4, 2], [6, 3]], 17699551/458647142400], [[[1, 7], [2, 8], [4, 2], [7, 1]], 5908709/92484403200], [[[1, 7], [2, 8], [4, 2], [14, 1]], 1111297/11324620800], [[[1, 7], [2, 8], [4, 3], [5, 1]], 634163069/7134511104000], [[[1, 7], [2, 8], [4, 3], [6, 2]], 43321463/428070666240], [[[1, 7], [2, 8], [4, 3], [8, 1]], 46943284469/182643484262400], [[[1, 7], [2, 8], [4, 3], [10, 1]], 975169553/7134511104000], [[[1, 7], [2, 8], [4, 3], [12, 1]], 8821051/158544691200], [[[1, 7], [2, 8], [4, 4], [6, 1]], 488283511/4280706662400], [[[1, 7], [2, 8], [5, 1], [6, 3]], 71621/5971968000], [[[1, 7], [2, 8], [5, 1], [7, 1]], 2257/385351680], [[[1, 7], [2, 8], [5, 1], [14, 1]], 123073/6193152000], [[[1, 7], [2, 8], [5, 2], [6, 1]], 873797/74317824000], [[[1, 7], [2, 8], [6, 1], [8, 2]], 11720809/1426902220800], [[[1, 7], [2, 8], [6, 1], [10, 2]], 688943/53084160000], [[[1, 7], [2, 8], [6, 1], [16, 1]], 107141/16986931200], [[[1, 7], [2, 8], [6, 2], [7, 1]], 6779/371589120], [[[1, 7], [2, 8], [6, 2], [14, 1]], 37033/3185049600], [[[1, 7], [2, 8], [6, 2], [18, 1]], 23837/3185049600], [[[1, 7], [2, 8], [6, 3], [8, 1]], 65509/9172942848], [[[1, 7], [2, 8], [6, 3], [10, 1]], 47639/7166361600], [[[1, 7], [2, 8], [7, 1], [8, 1]], 47771/7431782400], [[[1, 7], [2, 8], [7, 1], [10, 1]], 199/10321920], [[[1, 7], [2, 8], [8, 1], [14, 1]], 38863/3715891200], [[[1, 7], [2, 8], [10, 1], [14, 1]], 9743/663552000], [[[1, 7], [2, 10], [3, 1], [4, 3]], 222787441/10146860236800], [[[1, 7], [2, 10], [3, 1], [6, 3]], 114492047/4815794995200], [[[1, 7], [2, 10], [3, 1], [7, 1]], 24637909/29964946636800], [[[1, 7], [2, 10], [3, 1], [9, 1]], 323459/856141332480], [[[1, 7], [2, 10], [3, 1], [14, 1]], 5631767/1248539443200], [[[1, 7], [2, 10], [3, 2], [4, 2]], 14166289/1902536294400], [[[1, 7], [2, 10], [3, 2], [5, 1]], 3136981/5350883328000], [[[1, 7], [2, 10], [3, 2], [6, 2]], 141338509/4280706662400], [[[1, 7], [2, 10], [3, 2], [8, 1]], 2353309/2446118092800], [[[1, 7], [2, 10], [3, 2], [10, 1]], 6523067/2140353331200], [[[1, 7], [2, 10], [3, 3], [4, 1]], 15007361/15410543984640], [[[1, 7], [2, 10], [3, 3], [6, 1]], 13407349/3852635996160], [[[1, 7], [2, 10], [4, 1], [6, 3]], 106951409/6421059993600], [[[1, 7], [2, 10], [4, 1], [7, 1]], 209810759/39953262182400], [[[1, 7], [2, 10], [4, 1], [14, 1]], 298531/18119393280], [[[1, 7], [2, 10], [4, 2], [5, 1]], 3090317/211392921600], [[[1, 7], [2, 10], [4, 2], [6, 2]], 253767347/4892236185600], [[[1, 7], [2, 10], [4, 2], [8, 1]], 48231799087/1278504389836800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 929567/21139292160], [[[1, 7], [2, 10], [4, 2], [12, 1]], 1448666117/256842399744000], [[[1, 7], [2, 10], [4, 3], [6, 1]], 3413968211/54793045278720], [[[1, 7], [2, 10], [5, 1], [6, 2]], 4994117/713451110400], [[[1, 7], [2, 10], [5, 1], [8, 1]], 14784031/11415217766400], [[[1, 7], [2, 10], [5, 1], [10, 1]], 26073263/3963617280000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 1279/346816512], [[[1, 7], [2, 10], [6, 1], [14, 1]], 77063723/9988315545600], [[[1, 7], [2, 10], [6, 1], [18, 1]], 734339/475634073600], [[[1, 7], [2, 10], [6, 2], [8, 1]], 23022443/4280706662400], [[[1, 7], [2, 10], [6, 2], [10, 1]], 27774503/2675441664000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 1598129/422785843200], [[[1, 7], [2, 12], [3, 1], [4, 2]], 2694397841/1369826131968000], [[[1, 7], [2, 12], [3, 1], [5, 1]], 1294769/12230590464000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 422889881/96315899904000], [[[1, 7], [2, 12], [3, 1], [8, 1]], 28266281/171228266496000], [[[1, 7], [2, 12], [3, 1], [10, 1]], 38337031/53508833280000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 117078817/342456532992000], [[[1, 7], [2, 12], [3, 2], [6, 1]], 17524399/18345885696000], [[[1, 7], [2, 12], [4, 1], [5, 1]], 52292473/71345111040000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 9185007109/1438317438566400], [[[1, 7], [2, 12], [4, 1], [8, 1]], 16135032457/10958609055744000], [[[1, 7], [2, 12], [4, 1], [10, 1]], 2795314793/749123665920000], [[[1, 7], [2, 12], [4, 1], [12, 1]], 65043229/513684799488000], [[[1, 7], [2, 12], [4, 2], [6, 1]], 39573078899/4109478395904000], [[[1, 7], [2, 12], [5, 1], [6, 1]], 7614587/11890851840000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 333870371/513684799488000], [[[1, 7], [2, 12], [6, 1], [10, 1]], 2944260629/1284211998720000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 199654367/3287582716723200], [[[1, 7], [2, 14], [3, 1], [6, 1]], 1722424957/12328435187712000], [[[1, 7], [2, 14], [4, 1], [6, 1]], 17884973599/38355131695104000], [[[1, 7], [3, 1], [4, 2], [5, 3]], 7/768000], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 7], [3, 1], [4, 4], [5, 2]], 139/88473600], [[[1, 7], [3, 1], [4, 4], [8, 2]], 43/125829120], [[[1, 7], [3, 1], [4, 4], [12, 2]], 1/1327104], [[[1, 7], [3, 1], [4, 6], [5, 1]], 13/141557760], [[[1, 7], [3, 1], [4, 6], [12, 1]], 13/84934656], [[[1, 7], [3, 1], [5, 1], [7, 2]], 1/11760], [[[1, 7], [3, 1], [5, 2], [8, 2]], 13/1843200], [[[1, 7], [3, 2], [4, 1], [8, 3]], 11/14155776], [[[1, 7], [3, 2], [4, 3], [16, 1]], 5/4718592], [[[1, 7], [3, 2], [4, 4], [7, 1]], 5/6193152], [[[1, 7], [3, 2], [4, 4], [9, 1]], 19/15925248], [[[1, 7], [3, 2], [4, 5], [8, 1]], 143/679477248], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/20160], [[[1, 7], [3, 2], [5, 2], [9, 1]], 1/10800], [[[1, 7], [3, 2], [7, 1], [8, 2]], 1/258048], [[[1, 7], [3, 2], [8, 2], [9, 1]], 1/331776], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/276480], [[[1, 7], [3, 3], [4, 2], [8, 2]], 17/10616832], [[[1, 7], [3, 3], [4, 4], [5, 1]], 49/79626240], [[[1, 7], [3, 3], [4, 4], [12, 1]], 1/1327104], [[[1, 7], [3, 3], [5, 1], [8, 2]], 1/414720], [[[1, 7], [3, 3], [7, 1], [9, 1]], 1/18144], [[[1, 7], [3, 4], [4, 1], [16, 1]], 1/663552], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/387072], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1/248832], [[[1, 7], [3, 4], [4, 3], [8, 1]], 23/31850496], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/90720], [[[1, 7], [3, 4], [5, 1], [9, 1]], 1/38880], [[[1, 7], [3, 5], [4, 2], [5, 1]], 1/2488320], [[[1, 7], [3, 5], [4, 2], [12, 1]], 1/2239488], [[[1, 7], [4, 1], [5, 1], [8, 3]], 23/19660800], [[[1, 7], [4, 1], [5, 2], [16, 1]], 1/153600], [[[1, 7], [4, 1], [5, 3], [8, 1]], 1/192000], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/150528], [[[1, 7], [4, 1], [8, 2], [16, 1]], 1/94371840], [[[1, 7], [4, 1], [8, 3], [12, 1]], 1/141557760], [[[1, 7], [4, 2], [5, 2], [7, 1]], 1/71680], [[[1, 7], [4, 2], [7, 1], [8, 2]], 5/2752512], [[[1, 7], [4, 3], [5, 1], [16, 1]], 1/1310720], [[[1, 7], [4, 3], [5, 2], [8, 1]], 5/2359296], [[[1, 7], [4, 3], [8, 1], [12, 2]], 1/53084160], [[[1, 7], [4, 3], [12, 1], [16, 1]], 1/35389440], [[[1, 7], [4, 4], [5, 1], [7, 1]], 11/10321920], [[[1, 7], [4, 4], [7, 1], [12, 1]], 1/516096], [[[1, 7], [4, 5], [5, 1], [8, 1]], 143/943718400], [[[1, 7], [4, 5], [8, 1], [12, 1]], 1547/6794772480], [[[1, 7], [5, 1], [7, 1], [8, 2]], 1/107520], [[[1, 8], [2, 1], [3, 1], [4, 7]], 763/18119393280], [[[1, 8], [2, 1], [3, 2], [4, 6]], 881/13589544960], [[[1, 8], [2, 1], [3, 2], [5, 3]], 11/288000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 1/16128], [[[1, 8], [2, 1], [3, 2], [8, 3]], 43/70778880], [[[1, 8], [2, 1], [3, 3], [4, 5]], 1553/3057647616], [[[1, 8], [2, 1], [3, 4], [4, 4]], 3407/9172942848], [[[1, 8], [2, 1], [3, 4], [5, 2]], 53/6220800], [[[1, 8], [2, 1], [3, 4], [8, 2]], 185/191102976], [[[1, 8], [2, 1], [3, 4], [16, 1]], 1/663552], [[[1, 8], [2, 1], [3, 5], [4, 3]], 137/143327232], [[[1, 8], [2, 1], [3, 5], [7, 1]], 11/2612736], [[[1, 8], [2, 1], [3, 5], [9, 1]], 1/124416], [[[1, 8], [2, 1], [3, 6], [4, 2]], 13/71663616], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/2799360], [[[1, 8], [2, 1], [3, 6], [8, 1]], 1/4478976], [[[1, 8], [2, 1], [4, 2], [5, 3]], 29/4096000], [[[1, 8], [2, 1], [4, 2], [7, 2]], 3/401408], [[[1, 8], [2, 1], [4, 2], [8, 3]], 103/220200960], [[[1, 8], [2, 1], [4, 4], [5, 2]], 13873/14155776000], [[[1, 8], [2, 1], [4, 4], [8, 2]], 99887/126835752960], [[[1, 8], [2, 1], [4, 4], [12, 2]], 11/70778880], [[[1, 8], [2, 1], [4, 4], [16, 1]], 187/905969664], [[[1, 8], [2, 1], [4, 5], [7, 1]], 419/880803840], [[[1, 8], [2, 1], [4, 5], [14, 1]], 13/1132462080], [[[1, 8], [2, 1], [4, 6], [5, 1]], 509/11324620800], [[[1, 8], [2, 1], [4, 6], [8, 1]], 46763/761014517760], [[[1, 8], [2, 1], [4, 6], [12, 1]], 299/4529848320], [[[1, 8], [2, 1], [4, 7], [6, 1]], 119/163074539520], [[[1, 8], [2, 1], [5, 1], [7, 2]], 1/13440], [[[1, 8], [2, 1], [5, 1], [8, 3]], 133/235929600], [[[1, 8], [2, 1], [5, 2], [8, 2]], 1363/294912000], [[[1, 8], [2, 1], [5, 2], [16, 1]], 1/153600], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/192000], [[[1, 8], [2, 1], [5, 3], [10, 1]], 1/48000], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/150528], [[[1, 8], [2, 1], [8, 2], [16, 1]], 1/94371840], [[[1, 8], [2, 1], [8, 3], [10, 1]], 1/235929600], [[[1, 8], [2, 3], [3, 1], [4, 6]], 1227971/380507258880], [[[1, 8], [2, 3], [3, 1], [5, 3]], 517/9216000], [[[1, 8], [2, 3], [3, 1], [7, 2]], 137/1806336], [[[1, 8], [2, 3], [3, 1], [8, 3]], 7/2097152], [[[1, 8], [2, 3], [3, 2], [4, 5]], 78629/8153726976], [[[1, 8], [2, 3], [3, 3], [4, 4]], 522539/30576476160], [[[1, 8], [2, 3], [3, 3], [5, 2]], 329/8294400], [[[1, 8], [2, 3], [3, 3], [8, 2]], 2957/318504960], [[[1, 8], [2, 3], [3, 3], [10, 2]], 37/27648000], [[[1, 8], [2, 3], [3, 3], [16, 1]], 11/884736], [[[1, 8], [2, 3], [3, 4], [4, 3]], 2033/127401984], [[[1, 8], [2, 3], [3, 4], [6, 3]], 61/2239488], [[[1, 8], [2, 3], [3, 4], [7, 1]], 43/2322432], [[[1, 8], [2, 3], [3, 4], [9, 1]], 41/1492992], [[[1, 8], [2, 3], [3, 4], [14, 1]], 185/41803776], [[[1, 8], [2, 3], [3, 5], [4, 2]], 623/95551488], [[[1, 8], [2, 3], [3, 5], [5, 1]], 53/14929920], [[[1, 8], [2, 3], [3, 5], [6, 2]], 307/8957952], [[[1, 8], [2, 3], [3, 5], [8, 1]], 197/71663616], [[[1, 8], [2, 3], [3, 5], [10, 1]], 1/497664], [[[1, 8], [2, 3], [3, 6], [4, 1]], 113/107495424], [[[1, 8], [2, 3], [3, 6], [6, 1]], 103/26873856], [[[1, 8], [2, 3], [4, 1], [5, 3]], 2929/36864000], [[[1, 8], [2, 3], [4, 1], [7, 2]], 829/7225344], [[[1, 8], [2, 3], [4, 1], [8, 3]], 167651/21139292160], [[[1, 8], [2, 3], [4, 1], [10, 3]], 1/184320000], [[[1, 8], [2, 3], [4, 1], [14, 2]], 1/36126720], [[[1, 8], [2, 3], [4, 3], [5, 2]], 267991/3538944000], [[[1, 8], [2, 3], [4, 3], [8, 2]], 423523/5284823040], [[[1, 8], [2, 3], [4, 3], [10, 2]], 2203/3538944000], [[[1, 8], [2, 3], [4, 3], [12, 2]], 529/159252480], [[[1, 8], [2, 3], [4, 3], [16, 1]], 276425/25367150592], [[[1, 8], [2, 3], [4, 4], [7, 1]], 12283/528482304], [[[1, 8], [2, 3], [4, 4], [14, 1]], 14533/7927234560], [[[1, 8], [2, 3], [4, 5], [5, 1]], 233417/16986931200], [[[1, 8], [2, 3], [4, 5], [6, 2]], 14797/95126814720], [[[1, 8], [2, 3], [4, 5], [8, 1]], 5723909/405874409472], [[[1, 8], [2, 3], [4, 5], [10, 1]], 50689/39636172800], [[[1, 8], [2, 3], [4, 5], [12, 1]], 312715/28538044416], [[[1, 8], [2, 3], [4, 6], [6, 1]], 661051/2283043553280], [[[1, 8], [2, 3], [5, 2], [7, 1]], 23/286720], [[[1, 8], [2, 3], [5, 2], [14, 1]], 1363/64512000], [[[1, 8], [2, 3], [5, 3], [6, 1]], 29/1536000], [[[1, 8], [2, 3], [6, 1], [7, 2]], 1/50176], [[[1, 8], [2, 3], [6, 1], [8, 3]], 157/283115520], [[[1, 8], [2, 3], [7, 1], [8, 2]], 1583/165150720], [[[1, 8], [2, 3], [7, 1], [10, 2]], 31/64512000], [[[1, 8], [2, 3], [7, 1], [16, 1]], 5/458752], [[[1, 8], [2, 3], [8, 2], [14, 1]], 11/55050240], [[[1, 8], [2, 3], [14, 1], [16, 1]], 1/20643840], [[[1, 8], [2, 5], [3, 1], [4, 5]], 50611231/1087163596800], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/15925248], [[[1, 8], [2, 5], [3, 2], [4, 4]], 28346987/326149079040], [[[1, 8], [2, 5], [3, 2], [5, 2]], 6707/176947200], [[[1, 8], [2, 5], [3, 2], [6, 4]], 11521/1433272320], [[[1, 8], [2, 5], [3, 2], [8, 2]], 19127/1132462080], [[[1, 8], [2, 5], [3, 2], [10, 2]], 4039/442368000], [[[1, 8], [2, 5], [3, 2], [16, 1]], 875/56623104], [[[1, 8], [2, 5], [3, 3], [4, 3]], 69737/955514880], [[[1, 8], [2, 5], [3, 3], [6, 3]], 125627/1074954240], [[[1, 8], [2, 5], [3, 3], [7, 1]], 187/8257536], [[[1, 8], [2, 5], [3, 3], [9, 1]], 233/10616832], [[[1, 8], [2, 5], [3, 3], [14, 1]], 829/46448640], [[[1, 8], [2, 5], [3, 4], [4, 2]], 487165/18345885696], [[[1, 8], [2, 5], [3, 4], [5, 1]], 677/79626240], [[[1, 8], [2, 5], [3, 4], [6, 2]], 106399/859963392], [[[1, 8], [2, 5], [3, 4], [8, 1]], 4951/637009920], [[[1, 8], [2, 5], [3, 4], [10, 1]], 6347/716636160], [[[1, 8], [2, 5], [3, 5], [4, 1]], 2387/573308928], [[[1, 8], [2, 5], [3, 5], [6, 1]], 1987/143327232], [[[1, 8], [2, 5], [4, 1], [6, 5]], 23/2866544640], [[[1, 8], [2, 5], [4, 2], [5, 2]], 4535417/28311552000], [[[1, 8], [2, 5], [4, 2], [6, 4]], 53579/428070666240], [[[1, 8], [2, 5], [4, 2], [8, 2]], 44498219/253671505920], [[[1, 8], [2, 5], [4, 2], [10, 2]], 427961/44040192000], [[[1, 8], [2, 5], [4, 2], [12, 2]], 469/159252480], [[[1, 8], [2, 5], [4, 2], [16, 1]], 2001137/45298483200], [[[1, 8], [2, 5], [4, 3], [6, 3]], 146311/80263249920], [[[1, 8], [2, 5], [4, 3], [7, 1]], 67565/452984832], [[[1, 8], [2, 5], [4, 3], [14, 1]], 11886227/332943851520], [[[1, 8], [2, 5], [4, 4], [5, 1]], 42789571/380507258880], [[[1, 8], [2, 5], [4, 4], [6, 2]], 358631/43486543872], [[[1, 8], [2, 5], [4, 4], [8, 1]], 931253509/5073430118400], [[[1, 8], [2, 5], [4, 4], [10, 1]], 100618933/3805072588800], [[[1, 8], [2, 5], [4, 4], [12, 1]], 73759501/1141521776640], [[[1, 8], [2, 5], [4, 5], [6, 1]], 25545773/1522029035520], [[[1, 8], [2, 5], [5, 1], [6, 4]], 389/1194393600], [[[1, 8], [2, 5], [5, 1], [8, 2]], 303/20971520], [[[1, 8], [2, 5], [5, 1], [10, 2]], 16759/1105920000], [[[1, 8], [2, 5], [5, 1], [16, 1]], 709/47185920], [[[1, 8], [2, 5], [5, 2], [6, 2]], 7127/442368000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 32903/1179648000], [[[1, 8], [2, 5], [5, 2], [10, 1]], 22393/276480000], [[[1, 8], [2, 5], [6, 2], [8, 2]], 22195/9512681472], [[[1, 8], [2, 5], [6, 2], [10, 2]], 1559/12386304000], [[[1, 8], [2, 5], [6, 2], [16, 1]], 127/141557760], [[[1, 8], [2, 5], [6, 3], [7, 1]], 1037/418037760], [[[1, 8], [2, 5], [6, 3], [14, 1]], 109/1734082560], [[[1, 8], [2, 5], [6, 3], [18, 1]], 109/743178240], [[[1, 8], [2, 5], [6, 4], [8, 1]], 377/5733089280], [[[1, 8], [2, 5], [7, 1], [14, 1]], 1201/54190080], [[[1, 8], [2, 5], [8, 1], [10, 2]], 301/196608000], [[[1, 8], [2, 5], [8, 1], [16, 1]], 2419/566231040], [[[1, 8], [2, 5], [8, 2], [10, 1]], 151093/39636172800], [[[1, 8], [2, 5], [10, 1], [16, 1]], 961/353894400], [[[1, 8], [2, 7], [3, 1], [4, 4]], 488283511/4280706662400], [[[1, 8], [2, 7], [3, 1], [5, 2]], 688943/53084160000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 1901/297271296], [[[1, 8], [2, 7], [3, 1], [8, 2]], 11720809/1426902220800], [[[1, 8], [2, 7], [3, 1], [10, 2]], 873797/74317824000], [[[1, 8], [2, 7], [3, 1], [16, 1]], 107141/16986931200], [[[1, 8], [2, 7], [3, 2], [4, 3]], 43321463/428070666240], [[[1, 8], [2, 7], [3, 2], [6, 3]], 256253/2866544640], [[[1, 8], [2, 7], [3, 2], [7, 1]], 37033/3185049600], [[[1, 8], [2, 7], [3, 2], [9, 1]], 23837/3185049600], [[[1, 8], [2, 7], [3, 2], [14, 1]], 6779/371589120], [[[1, 8], [2, 7], [3, 3], [4, 2]], 17699551/458647142400], [[[1, 8], [2, 7], [3, 3], [5, 1]], 47639/7166361600], [[[1, 8], [2, 7], [3, 3], [6, 2]], 47543/358318080], [[[1, 8], [2, 7], [3, 3], [8, 1]], 65509/9172942848], [[[1, 8], [2, 7], [3, 3], [10, 1]], 71621/5971968000], [[[1, 8], [2, 7], [3, 4], [4, 1]], 112439/17836277760], [[[1, 8], [2, 7], [3, 4], [6, 1]], 641413/34398535680], [[[1, 8], [2, 7], [4, 1], [5, 2]], 19169351/495452160000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 258323/160526499840], [[[1, 8], [2, 7], [4, 1], [8, 2]], 35143889/951268147200], [[[1, 8], [2, 7], [4, 1], [10, 2]], 1176983/70778880000], [[[1, 8], [2, 7], [4, 1], [16, 1]], 39707449/2536715059200], [[[1, 8], [2, 7], [4, 2], [6, 3]], 804977/61152952320], [[[1, 8], [2, 7], [4, 2], [7, 1]], 1111297/11324620800], [[[1, 8], [2, 7], [4, 2], [14, 1]], 5908709/92484403200], [[[1, 8], [2, 7], [4, 3], [5, 1]], 975169553/7134511104000], [[[1, 8], [2, 7], [4, 3], [6, 2]], 107440201/2140353331200], [[[1, 8], [2, 7], [4, 3], [8, 1]], 46943284469/182643484262400], [[[1, 8], [2, 7], [4, 3], [10, 1]], 634163069/7134511104000], [[[1, 8], [2, 7], [4, 3], [12, 1]], 8821051/158544691200], [[[1, 8], [2, 7], [4, 4], [6, 1]], 2389396643/30440580710400], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1267/199065600], [[[1, 8], [2, 7], [5, 1], [7, 1]], 9743/663552000], [[[1, 8], [2, 7], [5, 1], [14, 1]], 199/10321920], [[[1, 8], [2, 7], [5, 2], [6, 1]], 338531/17694720000], [[[1, 8], [2, 7], [6, 1], [8, 2]], 2313067/380507258880], [[[1, 8], [2, 7], [6, 1], [10, 2]], 199873/49545216000], [[[1, 8], [2, 7], [6, 1], [16, 1]], 23837/5662310400], [[[1, 8], [2, 7], [6, 2], [7, 1]], 63473/4459069440], [[[1, 8], [2, 7], [6, 2], [14, 1]], 9311/2601123840], [[[1, 8], [2, 7], [6, 2], [18, 1]], 7963/2972712960], [[[1, 8], [2, 7], [6, 3], [8, 1]], 126629/45864714240], [[[1, 8], [2, 7], [6, 3], [10, 1]], 23627/14863564800], [[[1, 8], [2, 7], [7, 1], [8, 1]], 38863/3715891200], [[[1, 8], [2, 7], [7, 1], [10, 1]], 123073/6193152000], [[[1, 8], [2, 7], [8, 1], [14, 1]], 47771/7431782400], [[[1, 8], [2, 7], [10, 1], [14, 1]], 2257/385351680], [[[1, 8], [2, 9], [3, 1], [4, 3]], 14511438341/273965226393600], [[[1, 8], [2, 9], [3, 1], [6, 3]], 11082119/535088332800], [[[1, 8], [2, 9], [3, 1], [7, 1]], 1956323/665887703040], [[[1, 8], [2, 9], [3, 1], [9, 1]], 4180109/4280706662400], [[[1, 8], [2, 9], [3, 1], [14, 1]], 4264649/624269721600], [[[1, 8], [2, 9], [3, 2], [4, 2]], 137135707/5707608883200], [[[1, 8], [2, 9], [3, 2], [5, 1]], 1307959/509607936000], [[[1, 8], [2, 9], [3, 2], [6, 2]], 19223543/356725555200], [[[1, 8], [2, 9], [3, 2], [8, 1]], 48962287/17122826649600], [[[1, 8], [2, 9], [3, 2], [10, 1]], 857501/127401984000], [[[1, 8], [2, 9], [3, 3], [4, 1]], 67553309/15410543984640], [[[1, 8], [2, 9], [3, 3], [6, 1]], 3362731/305764761600], [[[1, 8], [2, 9], [4, 1], [6, 3]], 23660251/2140353331200], [[[1, 8], [2, 9], [4, 1], [7, 1]], 489893921/39953262182400], [[[1, 8], [2, 9], [4, 1], [14, 1]], 79126009/4439251353600], [[[1, 8], [2, 9], [4, 2], [5, 1]], 330528827/9512681472000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 21487/471859200], [[[1, 8], [2, 9], [4, 2], [8, 1]], 76860864769/1278504389836800], [[[1, 8], [2, 9], [4, 2], [10, 1]], 473659733/9512681472000], [[[1, 8], [2, 9], [4, 2], [12, 1]], 11516077/1268357529600], [[[1, 8], [2, 9], [4, 3], [6, 1]], 20421424729/273965226393600], [[[1, 8], [2, 9], [5, 1], [6, 2]], 225293/25480396800], [[[1, 8], [2, 9], [5, 1], [8, 1]], 25013219/8153726976000], [[[1, 8], [2, 9], [5, 1], [10, 1]], 125294839/11890851840000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 3982067/624269721600], [[[1, 8], [2, 9], [6, 1], [14, 1]], 20265433/3329438515200], [[[1, 8], [2, 9], [6, 1], [18, 1]], 734339/475634073600], [[[1, 8], [2, 9], [6, 2], [8, 1]], 4329979/856141332480], [[[1, 8], [2, 9], [6, 2], [10, 1]], 874663/132120576000], [[[1, 8], [2, 9], [8, 1], [10, 1]], 9222931/2113929216000], [[[1, 8], [2, 11], [3, 1], [4, 2]], 22281596443/3196260974592000], [[[1, 8], [2, 11], [3, 1], [5, 1]], 211733957/428070666240000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 17390377/2219625676800], [[[1, 8], [2, 11], [3, 1], [8, 1]], 31213907/57076088832000], [[[1, 8], [2, 11], [3, 1], [10, 1]], 260179051/149824733184000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 535888747/342456532992000], [[[1, 8], [2, 11], [3, 2], [6, 1]], 52095761/16052649984000], [[[1, 8], [2, 11], [4, 1], [5, 1]], 175899013/71345111040000], [[[1, 8], [2, 11], [4, 1], [6, 2]], 12616703503/1438317438566400], [[[1, 8], [2, 11], [4, 1], [8, 1]], 530426152793/153420526780416000], [[[1, 8], [2, 11], [4, 1], [10, 1]], 4743890513/749123665920000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 21997657/73383542784000], [[[1, 8], [2, 11], [4, 2], [6, 1]], 668560097/38355131695104], [[[1, 8], [2, 11], [5, 1], [6, 1]], 17254151/10701766656000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 631159391/513684799488000], [[[1, 8], [2, 11], [6, 1], [10, 1]], 22186639/7398752256000], [[[1, 8], [2, 13], [3, 1], [4, 1]], 1612598291/5479304527872000], [[[1, 8], [2, 13], [3, 1], [6, 1]], 1479665899/3196260974592000], [[[1, 8], [2, 13], [4, 1], [6, 1]], 2764156447/2348273369088000], [[[1, 9], [2, 2], [3, 1], [4, 6]], 25331/54358179840], [[[1, 9], [2, 2], [3, 1], [5, 3]], 43/1024000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 29/602112], [[[1, 9], [2, 2], [3, 1], [8, 3]], 499/990904320], [[[1, 9], [2, 2], [3, 2], [4, 5]], 366833/285380444160], [[[1, 9], [2, 2], [3, 3], [4, 4]], 121373/30576476160], [[[1, 9], [2, 2], [3, 3], [5, 2]], 11/307200], [[[1, 9], [2, 2], [3, 3], [8, 2]], 163/63700992], [[[1, 9], [2, 2], [3, 3], [10, 2]], 11/82944000], [[[1, 9], [2, 2], [3, 3], [16, 1]], 37/8847360], [[[1, 9], [2, 2], [3, 4], [4, 3]], 54343/11466178560], [[[1, 9], [2, 2], [3, 4], [7, 1]], 13/774144], [[[1, 9], [2, 2], [3, 4], [9, 1]], 11/497664], [[[1, 9], [2, 2], [3, 4], [14, 1]], 29/41803776], [[[1, 9], [2, 2], [3, 5], [4, 2]], 137/31850496], [[[1, 9], [2, 2], [3, 5], [5, 1]], 23/4976640], [[[1, 9], [2, 2], [3, 5], [6, 2]], 257/26873856], [[[1, 9], [2, 2], [3, 5], [8, 1]], 83/47775744], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/1492992], [[[1, 9], [2, 2], [3, 6], [4, 1]], 47/35831808], [[[1, 9], [2, 2], [3, 6], [6, 1]], 97/26873856], [[[1, 9], [2, 2], [4, 1], [5, 3]], 2323/61440000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 457/12042240], [[[1, 9], [2, 2], [4, 1], [8, 3]], 14569/21139292160], [[[1, 9], [2, 2], [4, 3], [5, 2]], 1637/141557760], [[[1, 9], [2, 2], [4, 3], [8, 2]], 38159/9059696640], [[[1, 9], [2, 2], [4, 3], [12, 2]], 17/79626240], [[[1, 9], [2, 2], [4, 3], [16, 1]], 89791/126835752960], [[[1, 9], [2, 2], [4, 4], [7, 1]], 27371/7927234560], [[[1, 9], [2, 2], [4, 4], [14, 1]], 893/7927234560], [[[1, 9], [2, 2], [4, 5], [5, 1]], 36031/39636172800], [[[1, 9], [2, 2], [4, 5], [8, 1]], 12635/19327352832], [[[1, 9], [2, 2], [4, 5], [10, 1]], 131/6794772480], [[[1, 9], [2, 2], [4, 5], [12, 1]], 98951/142690222080], [[[1, 9], [2, 2], [4, 6], [6, 1]], 45919/2283043553280], [[[1, 9], [2, 2], [5, 2], [7, 1]], 11/204800], [[[1, 9], [2, 2], [5, 2], [14, 1]], 19/9216000], [[[1, 9], [2, 2], [5, 3], [6, 1]], 11/4608000], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/451584], [[[1, 9], [2, 2], [6, 1], [8, 3]], 17/424673280], [[[1, 9], [2, 2], [7, 1], [8, 2]], 53/33030144], [[[1, 9], [2, 2], [7, 1], [10, 2]], 1/64512000], [[[1, 9], [2, 2], [7, 1], [16, 1]], 31/20643840], [[[1, 9], [2, 2], [8, 2], [14, 1]], 1/165150720], [[[1, 9], [2, 4], [3, 1], [4, 5]], 143790499/9132174213120], [[[1, 9], [2, 4], [3, 2], [4, 4]], 12286001/326149079040], [[[1, 9], [2, 4], [3, 2], [5, 2]], 9427/176947200], [[[1, 9], [2, 4], [3, 2], [6, 4]], 599/1433272320], [[[1, 9], [2, 4], [3, 2], [8, 2]], 9221/1132462080], [[[1, 9], [2, 4], [3, 2], [10, 2]], 127/88473600], [[[1, 9], [2, 4], [3, 2], [16, 1]], 1363/141557760], [[[1, 9], [2, 4], [3, 3], [4, 3]], 8363/159252480], [[[1, 9], [2, 4], [3, 3], [6, 3]], 25153/1074954240], [[[1, 9], [2, 4], [3, 3], [7, 1]], 2371/74317824], [[[1, 9], [2, 4], [3, 3], [9, 1]], 875/31850496], [[[1, 9], [2, 4], [3, 3], [14, 1]], 169/19906560], [[[1, 9], [2, 4], [3, 4], [4, 2]], 564973/18345885696], [[[1, 9], [2, 4], [3, 4], [5, 1]], 127/8847360], [[[1, 9], [2, 4], [3, 4], [6, 2]], 107903/1433272320], [[[1, 9], [2, 4], [3, 4], [8, 1]], 44383/5733089280], [[[1, 9], [2, 4], [3, 4], [10, 1]], 4649/716636160], [[[1, 9], [2, 4], [3, 5], [4, 1]], 4217/573308928], [[[1, 9], [2, 4], [3, 5], [6, 1]], 7865/429981696], [[[1, 9], [2, 4], [4, 2], [5, 2]], 24847/226492416], [[[1, 9], [2, 4], [4, 2], [6, 4]], 2563/428070666240], [[[1, 9], [2, 4], [4, 2], [8, 2]], 11724341/253671505920], [[[1, 9], [2, 4], [4, 2], [10, 2]], 108977/132120576000], [[[1, 9], [2, 4], [4, 2], [12, 2]], 103/159252480], [[[1, 9], [2, 4], [4, 2], [16, 1]], 4065749/380507258880], [[[1, 9], [2, 4], [4, 3], [6, 3]], 5737/107017666560], [[[1, 9], [2, 4], [4, 3], [7, 1]], 39224903/665887703040], [[[1, 9], [2, 4], [4, 3], [14, 1]], 3755879/665887703040], [[[1, 9], [2, 4], [4, 4], [5, 1]], 2979989/76101451776], [[[1, 9], [2, 4], [4, 4], [6, 2]], 3528533/4566087106560], [[[1, 9], [2, 4], [4, 4], [8, 1]], 147697073/3652869685248], [[[1, 9], [2, 4], [4, 4], [10, 1]], 15456503/3805072588800], [[[1, 9], [2, 4], [4, 4], [12, 1]], 18829417/1141521776640], [[[1, 9], [2, 4], [4, 5], [6, 1]], 422375/202937204736], [[[1, 9], [2, 4], [5, 1], [6, 4]], 23/1194393600], [[[1, 9], [2, 4], [5, 1], [8, 2]], 5221/943718400], [[[1, 9], [2, 4], [5, 1], [10, 2]], 8587/5160960000], [[[1, 9], [2, 4], [5, 1], [16, 1]], 827/117964800], [[[1, 9], [2, 4], [5, 2], [6, 2]], 1931/442368000], [[[1, 9], [2, 4], [5, 2], [8, 1]], 1289/70778880], [[[1, 9], [2, 4], [5, 2], [10, 1]], 39583/1105920000], [[[1, 9], [2, 4], [6, 2], [8, 2]], 2857/9512681472], [[[1, 9], [2, 4], [6, 2], [10, 2]], 47/12386304000], [[[1, 9], [2, 4], [6, 2], [16, 1]], 109/1321205760], [[[1, 9], [2, 4], [6, 3], [7, 1]], 11/59719680], [[[1, 9], [2, 4], [6, 3], [14, 1]], 29/15606743040], [[[1, 9], [2, 4], [6, 3], [18, 1]], 29/6688604160], [[[1, 9], [2, 4], [7, 1], [14, 1]], 319/54190080], [[[1, 9], [2, 4], [8, 1], [10, 2]], 7093/49545216000], [[[1, 9], [2, 4], [8, 1], [16, 1]], 511/566231040], [[[1, 9], [2, 4], [8, 2], [10, 1]], 8741/13212057600], [[[1, 9], [2, 4], [10, 1], [16, 1]], 109/367001600], [[[1, 9], [2, 6], [3, 1], [4, 4]], 3017964233/34245653299200], [[[1, 9], [2, 6], [3, 1], [5, 2]], 1252973/53084160000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 14221/13377208320], [[[1, 9], [2, 6], [3, 1], [8, 2]], 8762893/1426902220800], [[[1, 9], [2, 6], [3, 1], [10, 2]], 40109/10616832000], [[[1, 9], [2, 6], [3, 1], [16, 1]], 6089/1132462080], [[[1, 9], [2, 6], [3, 2], [4, 3]], 80039993/713451110400], [[[1, 9], [2, 6], [3, 2], [6, 3]], 65543/2006581248], [[[1, 9], [2, 6], [3, 2], [7, 1]], 469561/22295347200], [[[1, 9], [2, 6], [3, 2], [9, 1]], 107141/9555148800], [[[1, 9], [2, 6], [3, 2], [14, 1]], 353/26542080], [[[1, 9], [2, 6], [3, 3], [4, 2]], 27676591/458647142400], [[[1, 9], [2, 6], [3, 3], [5, 1]], 13273/895795200], [[[1, 9], [2, 6], [3, 3], [6, 2]], 316829/2866544640], [[[1, 9], [2, 6], [3, 3], [8, 1]], 765313/76441190400], [[[1, 9], [2, 6], [3, 3], [10, 1]], 74801/5971968000], [[[1, 9], [2, 6], [3, 4], [4, 1]], 3127001/229323571200], [[[1, 9], [2, 6], [3, 4], [6, 1]], 114389/3822059520], [[[1, 9], [2, 6], [4, 1], [5, 2]], 133399/2621440000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 78235/385263599616], [[[1, 9], [2, 6], [4, 1], [8, 2]], 26786023/1268357529600], [[[1, 9], [2, 6], [4, 1], [10, 2]], 152489/39636172800], [[[1, 9], [2, 6], [4, 1], [16, 1]], 14021401/1522029035520], [[[1, 9], [2, 6], [4, 2], [6, 3]], 979283/428070666240], [[[1, 9], [2, 6], [4, 2], [7, 1]], 6985129/79272345600], [[[1, 9], [2, 6], [4, 2], [14, 1]], 13078549/554906419200], [[[1, 9], [2, 6], [4, 3], [5, 1]], 555301741/4756340736000], [[[1, 9], [2, 6], [4, 3], [6, 2]], 1094983/85614133248], [[[1, 9], [2, 6], [4, 3], [8, 1]], 8998263913/60881161420800], [[[1, 9], [2, 6], [4, 3], [10, 1]], 12943091/407686348800], [[[1, 9], [2, 6], [4, 3], [12, 1]], 944327/29727129600], [[[1, 9], [2, 6], [4, 4], [6, 1]], 2663836529/91321742131200], [[[1, 9], [2, 6], [5, 1], [6, 3]], 211/119439360], [[[1, 9], [2, 6], [5, 1], [7, 1]], 3467/165888000], [[[1, 9], [2, 6], [5, 1], [14, 1]], 3397/309657600], [[[1, 9], [2, 6], [5, 2], [6, 1]], 301321/17694720000], [[[1, 9], [2, 6], [6, 1], [8, 2]], 4784867/1902536294400], [[[1, 9], [2, 6], [6, 1], [10, 2]], 33703/49545216000], [[[1, 9], [2, 6], [6, 1], [16, 1]], 7963/5284823040], [[[1, 9], [2, 6], [6, 2], [7, 1]], 27821/4459069440], [[[1, 9], [2, 6], [6, 2], [14, 1]], 391/693633024], [[[1, 9], [2, 6], [6, 2], [18, 1]], 1667/3822059520], [[[1, 9], [2, 6], [6, 3], [8, 1]], 72689/128421199872], [[[1, 9], [2, 6], [6, 3], [10, 1]], 26687/133772083200], [[[1, 9], [2, 6], [7, 1], [8, 1]], 13639/1415577600], [[[1, 9], [2, 6], [7, 1], [10, 1]], 3553/294912000], [[[1, 9], [2, 6], [8, 1], [14, 1]], 177463/83235962880], [[[1, 9], [2, 6], [10, 1], [14, 1]], 20777/17340825600], [[[1, 9], [2, 8], [3, 1], [4, 3]], 20421424729/273965226393600], [[[1, 9], [2, 8], [3, 1], [6, 3]], 3362731/305764761600], [[[1, 9], [2, 8], [3, 1], [7, 1]], 20265433/3329438515200], [[[1, 9], [2, 8], [3, 1], [9, 1]], 734339/475634073600], [[[1, 9], [2, 8], [3, 1], [14, 1]], 3982067/624269721600], [[[1, 9], [2, 8], [3, 2], [4, 2]], 21487/471859200], [[[1, 9], [2, 8], [3, 2], [5, 1]], 874663/132120576000], [[[1, 9], [2, 8], [3, 2], [6, 2]], 19223543/356725555200], [[[1, 9], [2, 8], [3, 2], [8, 1]], 4329979/856141332480], [[[1, 9], [2, 8], [3, 2], [10, 1]], 225293/25480396800], [[[1, 9], [2, 8], [3, 3], [4, 1]], 23660251/2140353331200], [[[1, 9], [2, 8], [3, 3], [6, 1]], 11082119/535088332800], [[[1, 9], [2, 8], [4, 1], [6, 3]], 67553309/15410543984640], [[[1, 9], [2, 8], [4, 1], [7, 1]], 79126009/4439251353600], [[[1, 9], [2, 8], [4, 1], [14, 1]], 489893921/39953262182400], [[[1, 9], [2, 8], [4, 2], [5, 1]], 473659733/9512681472000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 137135707/5707608883200], [[[1, 9], [2, 8], [4, 2], [8, 1]], 76860864769/1278504389836800], [[[1, 9], [2, 8], [4, 2], [10, 1]], 330528827/9512681472000], [[[1, 9], [2, 8], [4, 2], [12, 1]], 11516077/1268357529600], [[[1, 9], [2, 8], [4, 3], [6, 1]], 14511438341/273965226393600], [[[1, 9], [2, 8], [5, 1], [6, 2]], 857501/127401984000], [[[1, 9], [2, 8], [5, 1], [8, 1]], 9222931/2113929216000], [[[1, 9], [2, 8], [5, 1], [10, 1]], 125294839/11890851840000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 4264649/624269721600], [[[1, 9], [2, 8], [6, 1], [14, 1]], 1956323/665887703040], [[[1, 9], [2, 8], [6, 1], [18, 1]], 4180109/4280706662400], [[[1, 9], [2, 8], [6, 2], [8, 1]], 48962287/17122826649600], [[[1, 9], [2, 8], [6, 2], [10, 1]], 1307959/509607936000], [[[1, 9], [2, 8], [8, 1], [10, 1]], 25013219/8153726976000], [[[1, 9], [2, 10], [3, 1], [4, 2]], 20429755069/1369826131968000], [[[1, 9], [2, 10], [3, 1], [5, 1]], 2496089/1761607680000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 25826377/2853804441600], [[[1, 9], [2, 10], [3, 1], [8, 1]], 135219647/119859786547200], [[[1, 9], [2, 10], [3, 1], [10, 1]], 394389379/149824733184000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 6329991137/1438317438566400], [[[1, 9], [2, 10], [3, 2], [6, 1]], 609878849/89894839910400], [[[1, 9], [2, 10], [4, 1], [5, 1]], 516920477/99883155456000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 11164845371/1438317438566400], [[[1, 9], [2, 10], [4, 1], [8, 1]], 806229716443/153420526780416000], [[[1, 9], [2, 10], [4, 1], [10, 1]], 281658101/39953262182400], [[[1, 9], [2, 10], [4, 1], [12, 1]], 2234669/4892236185600], [[[1, 9], [2, 10], [4, 2], [6, 1]], 275581501/13698261319680], [[[1, 9], [2, 10], [5, 1], [6, 1]], 27452429/10701766656000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 353182381/239719573094400], [[[1, 9], [2, 10], [6, 1], [10, 1]], 56862047/22196256768000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 462139633/521838526464000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 19365432187/19177565847552000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 194899171037/98627481501696000], [[[1, 9], [3, 1], [4, 1], [8, 3]], 137/1981808640], [[[1, 9], [3, 1], [4, 3], [16, 1]], 1/31457280], [[[1, 9], [3, 1], [4, 4], [7, 1]], 11/73400320], [[[1, 9], [3, 1], [4, 4], [9, 1]], 91/2548039680], [[[1, 9], [3, 1], [4, 5], [8, 1]], 793/47563407360], [[[1, 9], [3, 1], [5, 2], [7, 1]], 11/403200], [[[1, 9], [3, 1], [5, 2], [9, 1]], 1/86400], [[[1, 9], [3, 1], [7, 1], [8, 2]], 3/4587520], [[[1, 9], [3, 1], [8, 2], [9, 1]], 1/53084160], [[[1, 9], [3, 2], [4, 2], [5, 2]], 53/14745600], [[[1, 9], [3, 2], [4, 2], [8, 2]], 11/37748736], [[[1, 9], [3, 2], [4, 4], [5, 1]], 673/2123366400], [[[1, 9], [3, 2], [4, 4], [12, 1]], 47/212336640], [[[1, 9], [3, 2], [5, 1], [8, 2]], 43/44236800], [[[1, 9], [3, 2], [7, 1], [9, 1]], 1/72576], [[[1, 9], [3, 3], [4, 1], [16, 1]], 11/26542080], [[[1, 9], [3, 3], [4, 2], [7, 1]], 31/18579456], [[[1, 9], [3, 3], [4, 2], [9, 1]], 5/2654208], [[[1, 9], [3, 3], [4, 3], [8, 1]], 197/637009920], [[[1, 9], [3, 3], [5, 1], [7, 1]], 1/60480], [[[1, 9], [3, 3], [5, 1], [9, 1]], 1/51840], [[[1, 9], [3, 4], [4, 2], [5, 1]], 23/19906560], [[[1, 9], [3, 4], [4, 2], [12, 1]], 29/71663616], [[[1, 9], [3, 5], [4, 1], [8, 1]], 5/11943936], [[[1, 9], [4, 1], [7, 1], [16, 1]], 1/20643840], [[[1, 9], [4, 2], [5, 1], [8, 2]], 71/471859200], [[[1, 9], [4, 2], [5, 2], [12, 1]], 133/110592000], [[[1, 9], [4, 2], [8, 1], [16, 1]], 29/5284823040], [[[1, 9], [4, 2], [8, 2], [12, 1]], 19/2642411520], [[[1, 9], [4, 3], [7, 1], [8, 1]], 11/70778880], [[[1, 9], [4, 4], [5, 1], [12, 1]], 1/7077888], [[[1, 10], [2, 1], [3, 1], [4, 6]], 11257/2283043553280], [[[1, 10], [2, 1], [3, 1], [5, 3]], 583/46080000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 97/9031680], [[[1, 10], [2, 1], [3, 1], [8, 3]], 53/1981808640], [[[1, 10], [2, 1], [3, 2], [4, 5]], 35747/285380444160], [[[1, 10], [2, 1], [3, 3], [4, 4]], 98033/642105999360], [[[1, 10], [2, 1], [3, 3], [5, 2]], 3649/248832000], [[[1, 10], [2, 1], [3, 3], [8, 2]], 67/167215104], [[[1, 10], [2, 1], [3, 3], [16, 1]], 11/26542080], [[[1, 10], [2, 1], [3, 4], [4, 3]], 8443/11466178560], [[[1, 10], [2, 1], [3, 4], [7, 1]], 1411/209018880], [[[1, 10], [2, 1], [3, 4], [9, 1]], 37/4976640], [[[1, 10], [2, 1], [3, 5], [4, 2]], 431/955514880], [[[1, 10], [2, 1], [3, 5], [5, 1]], 83/29859840], [[[1, 10], [2, 1], [3, 5], [8, 1]], 5/15925248], [[[1, 10], [2, 1], [3, 6], [4, 1]], 7/11943936], [[[1, 10], [2, 1], [3, 6], [6, 1]], 5/4478976], [[[1, 10], [2, 1], [4, 1], [5, 3]], 91/20480000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 47/12042240], [[[1, 10], [2, 1], [4, 1], [8, 3]], 24049/951268147200], [[[1, 10], [2, 1], [4, 3], [5, 2]], 3671/3538944000], [[[1, 10], [2, 1], [4, 3], [8, 2]], 2969/63417876480], [[[1, 10], [2, 1], [4, 3], [12, 2]], 1/159252480], [[[1, 10], [2, 1], [4, 3], [16, 1]], 779/126835752960], [[[1, 10], [2, 1], [4, 4], [7, 1]], 131/2378170368], [[[1, 10], [2, 1], [4, 5], [5, 1]], 541/8808038400], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1442003/91321742131200], [[[1, 10], [2, 1], [4, 5], [10, 1]], 7/8493465600], [[[1, 10], [2, 1], [4, 5], [12, 1]], 2521/71345111040], [[[1, 10], [2, 1], [5, 2], [7, 1]], 803/64512000], [[[1, 10], [2, 1], [6, 1], [8, 3]], 1/849346560], [[[1, 10], [2, 1], [7, 1], [8, 2]], 17/123863040], [[[1, 10], [2, 1], [7, 1], [16, 1]], 1/20643840], [[[1, 10], [2, 3], [3, 1], [4, 5]], 21594481/9132174213120], [[[1, 10], [2, 3], [3, 2], [4, 4]], 36653527/4566087106560], [[[1, 10], [2, 3], [3, 2], [5, 2]], 17183/442368000], [[[1, 10], [2, 3], [3, 2], [8, 2]], 32677/15854469120], [[[1, 10], [2, 3], [3, 2], [10, 2]], 89/825753600], [[[1, 10], [2, 3], [3, 2], [16, 1]], 133/47185920], [[[1, 10], [2, 3], [3, 3], [4, 3]], 55597/3822059520], [[[1, 10], [2, 3], [3, 3], [6, 3]], 149/119439360], [[[1, 10], [2, 3], [3, 3], [7, 1]], 12841/557383680], [[[1, 10], [2, 3], [3, 3], [9, 1]], 1363/79626240], [[[1, 10], [2, 3], [3, 3], [14, 1]], 67/36578304], [[[1, 10], [2, 3], [3, 4], [4, 2]], 83317/5096079360], [[[1, 10], [2, 3], [3, 4], [5, 1]], 1049/79626240], [[[1, 10], [2, 3], [3, 4], [6, 2]], 28229/1433272320], [[[1, 10], [2, 3], [3, 4], [8, 1]], 22693/5733089280], [[[1, 10], [2, 3], [3, 4], [10, 1]], 817/398131200], [[[1, 10], [2, 3], [3, 5], [4, 1]], 1217/191102976], [[[1, 10], [2, 3], [3, 5], [6, 1]], 8707/716636160], [[[1, 10], [2, 3], [4, 2], [5, 2]], 4412207/132120576000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 5038183/951268147200], [[[1, 10], [2, 3], [4, 2], [10, 2]], 9067/396361728000], [[[1, 10], [2, 3], [4, 2], [12, 2]], 37/637009920], [[[1, 10], [2, 3], [4, 2], [16, 1]], 362063/380507258880], [[[1, 10], [2, 3], [4, 3], [6, 3]], 221/107017666560], [[[1, 10], [2, 3], [4, 3], [7, 1]], 6587453/665887703040], [[[1, 10], [2, 3], [4, 3], [14, 1]], 47449/133177540608], [[[1, 10], [2, 3], [4, 4], [5, 1]], 4144121/761014517760], [[[1, 10], [2, 3], [4, 4], [6, 2]], 2371253/205473919795200], [[[1, 10], [2, 3], [4, 4], [8, 1]], 12403451/3652869685248], [[[1, 10], [2, 3], [4, 4], [10, 1]], 11671133/57076088832000], [[[1, 10], [2, 3], [4, 4], [12, 1]], 5901149/2853804441600], [[[1, 10], [2, 3], [4, 5], [6, 1]], 1331369/9132174213120], [[[1, 10], [2, 3], [5, 1], [8, 2]], 3769/3303014400], [[[1, 10], [2, 3], [5, 1], [10, 2]], 2077/30965760000], [[[1, 10], [2, 3], [5, 1], [16, 1]], 19/13107200], [[[1, 10], [2, 3], [5, 2], [6, 2]], 22373/37158912000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 9317/1769472000], [[[1, 10], [2, 3], [5, 2], [10, 1]], 70253/10321920000], [[[1, 10], [2, 3], [6, 2], [8, 2]], 45049/2140353331200], [[[1, 10], [2, 3], [6, 2], [16, 1]], 29/11890851840], [[[1, 10], [2, 3], [7, 1], [14, 1]], 17/27095040], [[[1, 10], [2, 3], [8, 1], [10, 2]], 41/9909043200], [[[1, 10], [2, 3], [8, 1], [16, 1]], 1207/15854469120], [[[1, 10], [2, 3], [8, 2], [10, 1]], 2291/42467328000], [[[1, 10], [2, 3], [10, 1], [16, 1]], 29/3303014400], [[[1, 10], [2, 5], [3, 1], [4, 4]], 124733519/3652869685248], [[[1, 10], [2, 5], [3, 1], [5, 2]], 87017/3538944000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1573/22932357120], [[[1, 10], [2, 5], [3, 1], [8, 2]], 409927/163074539520], [[[1, 10], [2, 5], [3, 1], [10, 2]], 85769/148635648000], [[[1, 10], [2, 5], [3, 1], [16, 1]], 973/377487360], [[[1, 10], [2, 5], [3, 2], [4, 3]], 1354697/20384317440], [[[1, 10], [2, 5], [3, 2], [6, 3]], 240413/40131624960], [[[1, 10], [2, 5], [3, 2], [7, 1]], 901/41287680], [[[1, 10], [2, 5], [3, 2], [9, 1]], 6089/637009920], [[[1, 10], [2, 5], [3, 2], [14, 1]], 113159/20808990720], [[[1, 10], [2, 5], [3, 3], [4, 2]], 33412247/642105999360], [[[1, 10], [2, 5], [3, 3], [5, 1]], 177679/9555148800], [[[1, 10], [2, 5], [3, 3], [6, 2]], 305863/6019743744], [[[1, 10], [2, 5], [3, 3], [8, 1]], 600773/76441190400], [[[1, 10], [2, 5], [3, 3], [10, 1]], 89843/12541132800], [[[1, 10], [2, 5], [3, 4], [4, 1]], 3792041/229323571200], [[[1, 10], [2, 5], [3, 4], [6, 1]], 158117/5733089280], [[[1, 10], [2, 5], [4, 1], [5, 2]], 100569/2621440000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 17807/1926317998080], [[[1, 10], [2, 5], [4, 1], [8, 2]], 25448377/3805072588800], [[[1, 10], [2, 5], [4, 1], [10, 2]], 2561/5662310400], [[[1, 10], [2, 5], [4, 1], [16, 1]], 4582651/1522029035520], [[[1, 10], [2, 5], [4, 2], [6, 3]], 253651/1284211998720], [[[1, 10], [2, 5], [4, 2], [7, 1]], 30137893/665887703040], [[[1, 10], [2, 5], [4, 2], [14, 1]], 15256793/3329438515200], [[[1, 10], [2, 5], [4, 3], [5, 1]], 3177817/59454259200], [[[1, 10], [2, 5], [4, 3], [6, 2]], 30349/20384317440], [[[1, 10], [2, 5], [4, 3], [8, 1]], 8518329961/182643484262400], [[[1, 10], [2, 5], [4, 3], [10, 1]], 8710903/1426902220800], [[[1, 10], [2, 5], [4, 3], [12, 1]], 28089703/2853804441600], [[[1, 10], [2, 5], [4, 4], [6, 1]], 20004367/3669177139200], [[[1, 10], [2, 5], [5, 1], [6, 3]], 10841/50164531200], [[[1, 10], [2, 5], [5, 1], [7, 1]], 21629/1238630400], [[[1, 10], [2, 5], [5, 1], [14, 1]], 181271/52022476800], [[[1, 10], [2, 5], [5, 2], [6, 1]], 1195139/148635648000], [[[1, 10], [2, 5], [6, 1], [8, 2]], 5007829/8561413324800], [[[1, 10], [2, 5], [6, 1], [10, 2]], 123437/2229534720000], [[[1, 10], [2, 5], [6, 1], [16, 1]], 1667/6794772480], [[[1, 10], [2, 5], [6, 2], [7, 1]], 47591/31213486080], [[[1, 10], [2, 5], [6, 2], [14, 1]], 39623/936404582400], [[[1, 10], [2, 5], [6, 2], [18, 1]], 779/26754416640], [[[1, 10], [2, 5], [6, 3], [8, 1]], 8357/128421199872], [[[1, 10], [2, 5], [6, 3], [10, 1]], 13969/1003290624000], [[[1, 10], [2, 5], [7, 1], [8, 1]], 16391/3303014400], [[[1, 10], [2, 5], [7, 1], [10, 1]], 106093/26011238400], [[[1, 10], [2, 5], [8, 1], [14, 1]], 29179/83235962880], [[[1, 10], [2, 5], [10, 1], [14, 1]], 13969/130056192000], [[[1, 10], [2, 7], [3, 1], [4, 3]], 3413968211/54793045278720], [[[1, 10], [2, 7], [3, 1], [6, 3]], 13407349/3852635996160], [[[1, 10], [2, 7], [3, 1], [7, 1]], 77063723/9988315545600], [[[1, 10], [2, 7], [3, 1], [9, 1]], 734339/475634073600], [[[1, 10], [2, 7], [3, 1], [14, 1]], 1279/346816512], [[[1, 10], [2, 7], [3, 2], [4, 2]], 253767347/4892236185600], [[[1, 10], [2, 7], [3, 2], [5, 1]], 27774503/2675441664000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 141338509/4280706662400], [[[1, 10], [2, 7], [3, 2], [8, 1]], 23022443/4280706662400], [[[1, 10], [2, 7], [3, 2], [10, 1]], 4994117/713451110400], [[[1, 10], [2, 7], [3, 3], [4, 1]], 106951409/6421059993600], [[[1, 10], [2, 7], [3, 3], [6, 1]], 114492047/4815794995200], [[[1, 10], [2, 7], [4, 1], [6, 3]], 15007361/15410543984640], [[[1, 10], [2, 7], [4, 1], [7, 1]], 298531/18119393280], [[[1, 10], [2, 7], [4, 1], [14, 1]], 209810759/39953262182400], [[[1, 10], [2, 7], [4, 2], [5, 1]], 929567/21139292160], [[[1, 10], [2, 7], [4, 2], [6, 2]], 14166289/1902536294400], [[[1, 10], [2, 7], [4, 2], [8, 1]], 48231799087/1278504389836800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 3090317/211392921600], [[[1, 10], [2, 7], [4, 2], [12, 1]], 1448666117/256842399744000], [[[1, 10], [2, 7], [4, 3], [6, 1]], 222787441/10146860236800], [[[1, 10], [2, 7], [5, 1], [6, 2]], 6523067/2140353331200], [[[1, 10], [2, 7], [5, 1], [8, 1]], 1598129/422785843200], [[[1, 10], [2, 7], [5, 1], [10, 1]], 26073263/3963617280000], [[[1, 10], [2, 7], [6, 1], [7, 1]], 5631767/1248539443200], [[[1, 10], [2, 7], [6, 1], [14, 1]], 24637909/29964946636800], [[[1, 10], [2, 7], [6, 1], [18, 1]], 323459/856141332480], [[[1, 10], [2, 7], [6, 2], [8, 1]], 2353309/2446118092800], [[[1, 10], [2, 7], [6, 2], [10, 1]], 3136981/5350883328000], [[[1, 10], [2, 7], [8, 1], [10, 1]], 14784031/11415217766400], [[[1, 10], [2, 9], [3, 1], [4, 2]], 275581501/13698261319680], [[[1, 10], [2, 9], [3, 1], [5, 1]], 56862047/22196256768000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 609878849/89894839910400], [[[1, 10], [2, 9], [3, 1], [8, 1]], 353182381/239719573094400], [[[1, 10], [2, 9], [3, 1], [10, 1]], 27452429/10701766656000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 11164845371/1438317438566400], [[[1, 10], [2, 9], [3, 2], [6, 1]], 25826377/2853804441600], [[[1, 10], [2, 9], [4, 1], [5, 1]], 281658101/39953262182400], [[[1, 10], [2, 9], [4, 1], [6, 2]], 6329991137/1438317438566400], [[[1, 10], [2, 9], [4, 1], [8, 1]], 806229716443/153420526780416000], [[[1, 10], [2, 9], [4, 1], [10, 1]], 516920477/99883155456000], [[[1, 10], [2, 9], [4, 1], [12, 1]], 2234669/4892236185600], [[[1, 10], [2, 9], [4, 2], [6, 1]], 20429755069/1369826131968000], [[[1, 10], [2, 9], [5, 1], [6, 1]], 394389379/149824733184000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 135219647/119859786547200], [[[1, 10], [2, 9], [6, 1], [10, 1]], 2496089/1761607680000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 44112608339/25570087796736000], [[[1, 10], [2, 11], [3, 1], [6, 1]], 85277722547/57532697542656000], [[[1, 10], [2, 11], [4, 1], [6, 1]], 309778072669/138078474102374400], [[[1, 11], [2, 2], [3, 1], [4, 5]], 12062243/136982613196800], [[[1, 11], [2, 2], [3, 2], [4, 4]], 722665/913217421312], [[[1, 11], [2, 2], [3, 2], [5, 2]], 2113/147456000], [[[1, 11], [2, 2], [3, 2], [8, 2]], 2857/9512681472], [[[1, 11], [2, 2], [3, 2], [10, 2]], 47/12386304000], [[[1, 11], [2, 2], [3, 2], [16, 1]], 89/264241152], [[[1, 11], [2, 2], [3, 3], [4, 3]], 537457/321052999680], [[[1, 11], [2, 2], [3, 3], [7, 1]], 517/61931520], [[[1, 11], [2, 2], [3, 3], [9, 1]], 133/26542080], [[[1, 11], [2, 2], [3, 3], [14, 1]], 101/731566080], [[[1, 11], [2, 2], [3, 4], [4, 2]], 14089/5096079360], [[[1, 11], [2, 2], [3, 4], [5, 1]], 511/79626240], [[[1, 11], [2, 2], [3, 4], [6, 2]], 6593/4299816960], [[[1, 11], [2, 2], [3, 4], [8, 1]], 11671/13377208320], [[[1, 11], [2, 2], [3, 4], [10, 1]], 221/1194393600], [[[1, 11], [2, 2], [3, 5], [4, 1]], 2393/955514880], [[[1, 11], [2, 2], [3, 5], [6, 1]], 851/238878720], [[[1, 11], [2, 2], [4, 2], [5, 2]], 141959/44040192000], [[[1, 11], [2, 2], [4, 2], [8, 2]], 45481/190253629440], [[[1, 11], [2, 2], [4, 2], [10, 2]], 241/396361728000], [[[1, 11], [2, 2], [4, 2], [12, 2]], 1/637009920], [[[1, 11], [2, 2], [4, 2], [16, 1]], 21533/634178764800], [[[1, 11], [2, 2], [4, 3], [7, 1]], 375457/665887703040], [[[1, 11], [2, 2], [4, 3], [14, 1]], 779/221962567680], [[[1, 11], [2, 2], [4, 4], [5, 1]], 481877/1268357529600], [[[1, 11], [2, 2], [4, 4], [6, 2]], 10649/29353417113600], [[[1, 11], [2, 2], [4, 4], [8, 1]], 14224639/91321742131200], [[[1, 11], [2, 2], [4, 4], [10, 1]], 469463/57076088832000], [[[1, 11], [2, 2], [4, 4], [12, 1]], 316597/2853804441600], [[[1, 11], [2, 2], [4, 5], [6, 1]], 164699/136982613196800], [[[1, 11], [2, 2], [5, 1], [8, 2]], 2711/19818086400], [[[1, 11], [2, 2], [5, 1], [10, 2]], 31/30965760000], [[[1, 11], [2, 2], [5, 1], [16, 1]], 1207/9909043200], [[[1, 11], [2, 2], [5, 2], [6, 2]], 1037/37158912000], [[[1, 11], [2, 2], [5, 2], [8, 1]], 10279/16515072000], [[[1, 11], [2, 2], [5, 2], [10, 1]], 15181/30965760000], [[[1, 11], [2, 2], [6, 2], [8, 2]], 1219/2140353331200], [[[1, 11], [2, 2], [7, 1], [14, 1]], 1/54190080], [[[1, 11], [2, 2], [8, 1], [16, 1]], 31/15854469120], [[[1, 11], [2, 2], [8, 2], [10, 1]], 211/148635648000], [[[1, 11], [2, 4], [3, 1], [4, 4]], 113457551/18264348426240], [[[1, 11], [2, 4], [3, 1], [5, 2]], 1909/131072000], [[[1, 11], [2, 4], [3, 1], [6, 4]], 187/160526499840], [[[1, 11], [2, 4], [3, 1], [8, 2]], 132425/228304355328], [[[1, 11], [2, 4], [3, 1], [10, 2]], 3/73400320], [[[1, 11], [2, 4], [3, 1], [16, 1]], 31013/47563407360], [[[1, 11], [2, 4], [3, 2], [4, 3]], 1608853/85614133248], [[[1, 11], [2, 4], [3, 2], [6, 3]], 9797/20065812480], [[[1, 11], [2, 4], [3, 2], [7, 1]], 91/7077888], [[[1, 11], [2, 4], [3, 2], [9, 1]], 973/212336640], [[[1, 11], [2, 4], [3, 2], [14, 1]], 4847/4161798144], [[[1, 11], [2, 4], [3, 3], [4, 2]], 15212327/642105999360], [[[1, 11], [2, 4], [3, 3], [5, 1]], 25871/1911029760], [[[1, 11], [2, 4], [3, 3], [6, 2]], 478409/40131624960], [[[1, 11], [2, 4], [3, 3], [8, 1]], 313237/91729428480], [[[1, 11], [2, 4], [3, 3], [10, 1]], 25997/12541132800], [[[1, 11], [2, 4], [3, 4], [4, 1]], 1787839/160526499840], [[[1, 11], [2, 4], [3, 4], [6, 1]], 1718753/120394874880], [[[1, 11], [2, 4], [4, 1], [5, 2]], 451967/28311552000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 2154379/1902536294400], [[[1, 11], [2, 4], [4, 1], [10, 2]], 79349/2972712960000], [[[1, 11], [2, 4], [4, 1], [16, 1]], 145289/304405807104], [[[1, 11], [2, 4], [4, 2], [6, 3]], 9367/1284211998720], [[[1, 11], [2, 4], [4, 2], [7, 1]], 8123257/665887703040], [[[1, 11], [2, 4], [4, 2], [14, 1]], 458453/1109812838400], [[[1, 11], [2, 4], [4, 3], [5, 1]], 166774801/14269022208000], [[[1, 11], [2, 4], [4, 3], [6, 2]], 252143/3210529996800], [[[1, 11], [2, 4], [4, 3], [8, 1]], 1329959479/182643484262400], [[[1, 11], [2, 4], [4, 3], [10, 1]], 8612189/14269022208000], [[[1, 11], [2, 4], [4, 3], [12, 1]], 13429877/8561413324800], [[[1, 11], [2, 4], [4, 4], [6, 1]], 91000649/205473919795200], [[[1, 11], [2, 4], [5, 1], [6, 3]], 17/2006581248], [[[1, 11], [2, 4], [5, 1], [7, 1]], 2077/247726080], [[[1, 11], [2, 4], [5, 1], [14, 1]], 29291/52022476800], [[[1, 11], [2, 4], [5, 2], [6, 1]], 38003/21233664000], [[[1, 11], [2, 4], [6, 1], [8, 2]], 626113/8561413324800], [[[1, 11], [2, 4], [6, 1], [10, 2]], 3287/2229534720000], [[[1, 11], [2, 4], [6, 1], [16, 1]], 779/47563407360], [[[1, 11], [2, 4], [6, 2], [7, 1]], 2147/10404495360], [[[1, 11], [2, 4], [6, 2], [14, 1]], 1013/936404582400], [[[1, 11], [2, 4], [6, 2], [18, 1]], 17/26754416640], [[[1, 11], [2, 4], [6, 3], [8, 1]], 1889/458647142400], [[[1, 11], [2, 4], [6, 3], [10, 1]], 379/1003290624000], [[[1, 11], [2, 4], [7, 1], [8, 1]], 55469/41617981440], [[[1, 11], [2, 4], [7, 1], [10, 1]], 3551/5202247680], [[[1, 11], [2, 4], [8, 1], [14, 1]], 5317/208089907200], [[[1, 11], [2, 4], [10, 1], [14, 1]], 379/130056192000], [[[1, 11], [2, 6], [3, 1], [4, 3]], 8300873393/273965226393600], [[[1, 11], [2, 6], [3, 1], [6, 3]], 686057/1070176665600], [[[1, 11], [2, 6], [3, 1], [7, 1]], 60797309/9988315545600], [[[1, 11], [2, 6], [3, 1], [9, 1]], 4180109/4280706662400], [[[1, 11], [2, 6], [3, 1], [14, 1]], 161029/124853944320], [[[1, 11], [2, 6], [3, 2], [4, 2]], 1211011679/34245653299200], [[[1, 11], [2, 6], [3, 2], [5, 1]], 26834447/2675441664000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 10298773/856141332480], [[[1, 11], [2, 6], [3, 2], [8, 1]], 559339/163074539520], [[[1, 11], [2, 6], [3, 2], [10, 1]], 11716253/3567255552000], [[[1, 11], [2, 6], [3, 3], [4, 1]], 392762707/25684239974400], [[[1, 11], [2, 6], [3, 3], [6, 1]], 35828633/2140353331200], [[[1, 11], [2, 6], [4, 1], [6, 3]], 1453931/12842119987200], [[[1, 11], [2, 6], [4, 1], [7, 1]], 127900439/13317754060800], [[[1, 11], [2, 6], [4, 1], [14, 1]], 52904629/39953262182400], [[[1, 11], [2, 6], [4, 2], [5, 1]], 7014041/297271296000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 4359377/3424565329920], [[[1, 11], [2, 6], [4, 2], [8, 1]], 4405789837/304405807104000], [[[1, 11], [2, 6], [4, 2], [10, 1]], 100305467/28538044416000], [[[1, 11], [2, 6], [4, 2], [12, 1]], 542087177/256842399744000], [[[1, 11], [2, 6], [4, 3], [6, 1]], 837015307/164379135836160], [[[1, 11], [2, 6], [5, 1], [6, 2]], 1723823/2140353331200], [[[1, 11], [2, 6], [5, 1], [8, 1]], 12479753/6341787648000], [[[1, 11], [2, 6], [5, 1], [10, 1]], 9830189/3963617280000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 734261/416179814400], [[[1, 11], [2, 6], [6, 1], [14, 1]], 3722563/29964946636800], [[[1, 11], [2, 6], [6, 1], [18, 1]], 72101/856141332480], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1593493/8561413324800], [[[1, 11], [2, 6], [6, 2], [10, 1]], 78289/1070176665600], [[[1, 11], [2, 6], [8, 1], [10, 1]], 3617713/11415217766400], [[[1, 11], [2, 8], [3, 1], [4, 2]], 668560097/38355131695104], [[[1, 11], [2, 8], [3, 1], [5, 1]], 22186639/7398752256000], [[[1, 11], [2, 8], [3, 1], [6, 2]], 52095761/16052649984000], [[[1, 11], [2, 8], [3, 1], [8, 1]], 631159391/513684799488000], [[[1, 11], [2, 8], [3, 1], [10, 1]], 17254151/10701766656000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 12616703503/1438317438566400], [[[1, 11], [2, 8], [3, 2], [6, 1]], 17390377/2219625676800], [[[1, 11], [2, 8], [4, 1], [5, 1]], 4743890513/749123665920000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 535888747/342456532992000], [[[1, 11], [2, 8], [4, 1], [8, 1]], 530426152793/153420526780416000], [[[1, 11], [2, 8], [4, 1], [10, 1]], 175899013/71345111040000], [[[1, 11], [2, 8], [4, 1], [12, 1]], 21997657/73383542784000], [[[1, 11], [2, 8], [4, 2], [6, 1]], 22281596443/3196260974592000], [[[1, 11], [2, 8], [5, 1], [6, 1]], 260179051/149824733184000], [[[1, 11], [2, 8], [6, 1], [8, 1]], 31213907/57076088832000], [[[1, 11], [2, 8], [6, 1], [10, 1]], 211733957/428070666240000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 309778072669/138078474102374400], [[[1, 11], [2, 10], [3, 1], [6, 1]], 85277722547/57532697542656000], [[[1, 11], [2, 10], [4, 1], [6, 1]], 44112608339/25570087796736000], [[[1, 11], [3, 1], [4, 2], [5, 2]], 71/294912000], [[[1, 11], [3, 1], [4, 2], [8, 2]], 767/95126814720], [[[1, 11], [3, 1], [4, 4], [5, 1]], 809/59454259200], [[[1, 11], [3, 1], [4, 4], [12, 1]], 103/17836277760], [[[1, 11], [3, 1], [5, 1], [8, 2]], 53/1238630400], [[[1, 11], [3, 1], [7, 1], [9, 1]], 1/11612160], [[[1, 11], [3, 2], [4, 1], [16, 1]], 47/3963617280], [[[1, 11], [3, 2], [4, 2], [7, 1]], 5/24772608], [[[1, 11], [3, 2], [4, 2], [9, 1]], 1/17694720], [[[1, 11], [3, 2], [4, 3], [8, 1]], 491/23781703680], [[[1, 11], [3, 2], [5, 1], [7, 1]], 11/3870720], [[[1, 11], [3, 2], [5, 1], [9, 1]], 1/921600], [[[1, 11], [3, 3], [4, 2], [5, 1]], 13/39813120], [[[1, 11], [3, 3], [4, 2], [12, 1]], 101/1254113280], [[[1, 11], [3, 4], [4, 1], [8, 1]], 221/1911029760], [[[1, 11], [4, 1], [5, 1], [16, 1]], 31/9909043200], [[[1, 11], [4, 1], [5, 2], [8, 1]], 1037/16515072000], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/10321920], [[[1, 11], [4, 2], [7, 1], [12, 1]], 1/92897280], [[[1, 11], [4, 3], [5, 1], [8, 1]], 17/2378170368], [[[1, 11], [4, 3], [8, 1], [12, 1]], 3287/2853804441600], [[[1, 12], [2, 1], [3, 1], [4, 5]], 496073/136982613196800], [[[1, 12], [2, 1], [3, 2], [4, 4]], 2095133/205473919795200], [[[1, 12], [2, 1], [3, 2], [5, 2]], 85573/37158912000], [[[1, 12], [2, 1], [3, 2], [8, 2]], 53449/2140353331200], [[[1, 12], [2, 1], [3, 2], [16, 1]], 47/3963617280], [[[1, 12], [2, 1], [3, 3], [4, 3]], 36817/321052999680], [[[1, 12], [2, 1], [3, 3], [7, 1]], 60479/46820229120], [[[1, 12], [2, 1], [3, 3], [9, 1]], 89/148635648], [[[1, 12], [2, 1], [3, 4], [4, 2]], 17417/142690222080], [[[1, 12], [2, 1], [3, 4], [5, 1]], 11671/8360755200], [[[1, 12], [2, 1], [3, 4], [8, 1]], 821/13377208320], [[[1, 12], [2, 1], [3, 5], [4, 1]], 263/955514880], [[[1, 12], [2, 1], [3, 5], [6, 1]], 221/716636160], [[[1, 12], [2, 1], [4, 2], [5, 2]], 3577/56623104000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 2089/422785843200], [[[1, 12], [2, 1], [4, 2], [16, 1]], 463/634178764800], [[[1, 12], [2, 1], [4, 3], [7, 1]], 15187/665887703040], [[[1, 12], [2, 1], [4, 3], [14, 1]], 17/221962567680], [[[1, 12], [2, 1], [4, 4], [5, 1]], 26867/8153726976000], [[[1, 12], [2, 1], [4, 4], [8, 1]], 153469/91321742131200], [[[1, 12], [2, 1], [4, 4], [12, 1]], 6571/5707608883200], [[[1, 12], [2, 1], [4, 5], [6, 1]], 4289/136982613196800], [[[1, 12], [2, 1], [5, 1], [8, 2]], 5317/594542592000], [[[1, 12], [2, 1], [5, 1], [16, 1]], 31/9909043200], [[[1, 12], [2, 1], [5, 2], [8, 1]], 367/16515072000], [[[1, 12], [2, 1], [5, 2], [10, 1]], 31/3096576000], [[[1, 12], [2, 3], [3, 1], [4, 4]], 3755029/7610145177600], [[[1, 12], [2, 3], [3, 1], [5, 2]], 100651/21233664000], [[[1, 12], [2, 3], [3, 1], [8, 2]], 45463/570760888320], [[[1, 12], [2, 3], [3, 1], [10, 2]], 49/35389440000], [[[1, 12], [2, 3], [3, 1], [16, 1]], 1277/15854469120], [[[1, 12], [2, 3], [3, 2], [4, 3]], 191819/85614133248], [[[1, 12], [2, 3], [3, 2], [6, 3]], 187/13377208320], [[[1, 12], [2, 3], [3, 2], [7, 1]], 260003/62426972160], [[[1, 12], [2, 3], [3, 2], [9, 1]], 31013/26754416640], [[[1, 12], [2, 3], [3, 2], [14, 1]], 53449/468202291200], [[[1, 12], [2, 3], [3, 3], [4, 2]], 295859/61152952320], [[[1, 12], [2, 3], [3, 3], [5, 1]], 375523/66886041600], [[[1, 12], [2, 3], [3, 3], [6, 2]], 8329/6688604160], [[[1, 12], [2, 3], [3, 3], [8, 1]], 483943/642105999360], [[[1, 12], [2, 3], [3, 3], [10, 1]], 479/1857945600], [[[1, 12], [2, 3], [3, 4], [4, 1]], 629411/160526499840], [[[1, 12], [2, 3], [3, 4], [6, 1]], 9701/2548039680], [[[1, 12], [2, 3], [4, 1], [5, 2]], 652783/198180864000], [[[1, 12], [2, 3], [4, 1], [8, 2]], 185827/1902536294400], [[[1, 12], [2, 3], [4, 1], [10, 2]], 1859/2972712960000], [[[1, 12], [2, 3], [4, 1], [16, 1]], 255859/7610145177600], [[[1, 12], [2, 3], [4, 2], [7, 1]], 4988027/3329438515200], [[[1, 12], [2, 3], [4, 2], [14, 1]], 11897/665887703040], [[[1, 12], [2, 3], [4, 3], [5, 1]], 14319073/14269022208000], [[[1, 12], [2, 3], [4, 3], [6, 2]], 7583/3210529996800], [[[1, 12], [2, 3], [4, 3], [8, 1]], 16533793/36528696852480], [[[1, 12], [2, 3], [4, 3], [10, 1]], 377813/14269022208000], [[[1, 12], [2, 3], [4, 3], [12, 1]], 1106297/8561413324800], [[[1, 12], [2, 3], [4, 4], [6, 1]], 3660379/273965226393600], [[[1, 12], [2, 3], [5, 1], [7, 1]], 3767/1734082560], [[[1, 12], [2, 3], [5, 1], [14, 1]], 5317/130056192000], [[[1, 12], [2, 3], [5, 2], [6, 1]], 3577/21233664000], [[[1, 12], [2, 3], [6, 1], [8, 2]], 24967/5707608883200], [[[1, 12], [2, 3], [6, 1], [16, 1]], 17/47563407360], [[[1, 12], [2, 3], [6, 2], [7, 1]], 1889/133772083200], [[[1, 12], [2, 3], [6, 3], [8, 1]], 323/3210529996800], [[[1, 12], [2, 3], [7, 1], [8, 1]], 7451/41617981440], [[[1, 12], [2, 3], [7, 1], [10, 1]], 1889/37158912000], [[[1, 12], [2, 3], [8, 1], [14, 1]], 127/208089907200], [[[1, 12], [2, 5], [3, 1], [4, 3]], 87476759/10958609055744], [[[1, 12], [2, 5], [3, 1], [6, 3]], 639001/9631589990400], [[[1, 12], [2, 5], [3, 1], [7, 1]], 1964233/665887703040], [[[1, 12], [2, 5], [3, 1], [9, 1]], 323459/856141332480], [[[1, 12], [2, 5], [3, 1], [14, 1]], 323201/1248539443200], [[[1, 12], [2, 5], [3, 2], [4, 2]], 203584411/14676708556800], [[[1, 12], [2, 5], [3, 2], [5, 1]], 12766907/2140353331200], [[[1, 12], [2, 5], [3, 2], [6, 2]], 47417791/19263179980800], [[[1, 12], [2, 5], [3, 2], [8, 1]], 3148417/2446118092800], [[[1, 12], [2, 5], [3, 2], [10, 1]], 13882493/16052649984000], [[[1, 12], [2, 5], [3, 3], [4, 1]], 216326063/25684239974400], [[[1, 12], [2, 5], [3, 3], [6, 1]], 9094139/1284211998720], [[[1, 12], [2, 5], [4, 1], [6, 3]], 89027/12842119987200], [[[1, 12], [2, 5], [4, 1], [7, 1]], 2153917/634178764800], [[[1, 12], [2, 5], [4, 1], [14, 1]], 7207747/39953262182400], [[[1, 12], [2, 5], [4, 2], [5, 1]], 34650739/4756340736000], [[[1, 12], [2, 5], [4, 2], [6, 2]], 3818303/34245653299200], [[[1, 12], [2, 5], [4, 2], [8, 1]], 982576627/304405807104000], [[[1, 12], [2, 5], [4, 2], [10, 1]], 1637281/3567255552000], [[[1, 12], [2, 5], [4, 2], [12, 1]], 7676479/17122826649600], [[[1, 12], [2, 5], [4, 3], [6, 1]], 102490189/164379135836160], [[[1, 12], [2, 5], [5, 1], [6, 2]], 685723/5350883328000], [[[1, 12], [2, 5], [5, 1], [8, 1]], 11310517/19025362944000], [[[1, 12], [2, 5], [5, 1], [10, 1]], 2693689/5096079360000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 201419/535088332800], [[[1, 12], [2, 5], [6, 1], [14, 1]], 32257/3329438515200], [[[1, 12], [2, 5], [6, 1], [18, 1]], 44203/4280706662400], [[[1, 12], [2, 5], [6, 2], [8, 1]], 167561/8561413324800], [[[1, 12], [2, 5], [6, 2], [10, 1]], 9281/2140353331200], [[[1, 12], [2, 5], [8, 1], [10, 1]], 2552819/57076088832000], [[[1, 12], [2, 7], [3, 1], [4, 2]], 39573078899/4109478395904000], [[[1, 12], [2, 7], [3, 1], [5, 1]], 2944260629/1284211998720000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 17524399/18345885696000], [[[1, 12], [2, 7], [3, 1], [8, 1]], 333870371/513684799488000], [[[1, 12], [2, 7], [3, 1], [10, 1]], 7614587/11890851840000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 9185007109/1438317438566400], [[[1, 12], [2, 7], [3, 2], [6, 1]], 422889881/96315899904000], [[[1, 12], [2, 7], [4, 1], [5, 1]], 2795314793/749123665920000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 117078817/342456532992000], [[[1, 12], [2, 7], [4, 1], [8, 1]], 16135032457/10958609055744000], [[[1, 12], [2, 7], [4, 1], [10, 1]], 52292473/71345111040000], [[[1, 12], [2, 7], [4, 1], [12, 1]], 65043229/513684799488000], [[[1, 12], [2, 7], [4, 2], [6, 1]], 2694397841/1369826131968000], [[[1, 12], [2, 7], [5, 1], [6, 1]], 38337031/53508833280000], [[[1, 12], [2, 7], [6, 1], [8, 1]], 28266281/171228266496000], [[[1, 12], [2, 7], [6, 1], [10, 1]], 1294769/12230590464000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 194899171037/98627481501696000], [[[1, 12], [2, 9], [3, 1], [6, 1]], 19365432187/19177565847552000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 462139633/521838526464000], [[[1, 13], [2, 2], [3, 1], [4, 4]], 730979/34245653299200], [[[1, 13], [2, 2], [3, 1], [5, 2]], 5587/7077888000], [[[1, 13], [2, 2], [3, 1], [8, 2]], 3779/570760888320], [[[1, 13], [2, 2], [3, 1], [10, 2]], 19/743178240000], [[[1, 13], [2, 2], [3, 1], [16, 1]], 49/11324620800], [[[1, 13], [2, 2], [3, 2], [4, 3]], 41761/401316249600], [[[1, 13], [2, 2], [3, 2], [7, 1]], 14387/20808990720], [[[1, 13], [2, 2], [3, 2], [9, 1]], 1277/8918138880], [[[1, 13], [2, 2], [3, 2], [14, 1]], 1699/468202291200], [[[1, 13], [2, 2], [3, 3], [4, 2]], 10559/28538044416], [[[1, 13], [2, 2], [3, 3], [5, 1]], 3007/2477260800], [[[1, 13], [2, 2], [3, 3], [6, 2]], 5399/120394874880], [[[1, 13], [2, 2], [3, 3], [8, 1]], 238969/3210529996800], [[[1, 13], [2, 2], [3, 3], [10, 1]], 1/95551488], [[[1, 13], [2, 2], [3, 4], [4, 1]], 683/1132462080], [[[1, 13], [2, 2], [3, 4], [6, 1]], 71779/160526499840], [[[1, 13], [2, 2], [4, 1], [5, 2]], 884657/2972712960000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 14687/3805072588800], [[[1, 13], [2, 2], [4, 1], [16, 1]], 491/507343011840], [[[1, 13], [2, 2], [4, 2], [7, 1]], 2813/41104179200], [[[1, 13], [2, 2], [4, 2], [14, 1]], 47/123312537600], [[[1, 13], [2, 2], [4, 3], [5, 1]], 3979/118908518400], [[[1, 13], [2, 2], [4, 3], [8, 1]], 552457/60881161420800], [[[1, 13], [2, 2], [4, 3], [10, 1]], 223/792723456000], [[[1, 13], [2, 2], [4, 3], [12, 1]], 48509/8561413324800], [[[1, 13], [2, 2], [4, 4], [6, 1]], 30661/91321742131200], [[[1, 13], [2, 2], [5, 1], [7, 1]], 277/963379200], [[[1, 13], [2, 2], [5, 1], [14, 1]], 127/130056192000], [[[1, 13], [2, 2], [5, 2], [6, 1]], 757/148635648000], [[[1, 13], [2, 2], [6, 1], [8, 2]], 59/634178764800], [[[1, 13], [2, 2], [6, 2], [7, 1]], 323/936404582400], [[[1, 13], [2, 2], [7, 1], [8, 1]], 73/6606028800], [[[1, 13], [2, 2], [7, 1], [10, 1]], 323/260112384000], [[[1, 13], [2, 4], [3, 1], [4, 3]], 4455919/4348654387200], [[[1, 13], [2, 4], [3, 1], [6, 3]], 66907/19263179980800], [[[1, 13], [2, 4], [3, 1], [7, 1]], 566143/665887703040], [[[1, 13], [2, 4], [3, 1], [9, 1]], 72101/856141332480], [[[1, 13], [2, 4], [3, 1], [14, 1]], 34331/1248539443200], [[[1, 13], [2, 4], [3, 2], [4, 2]], 293508253/102736959897600], [[[1, 13], [2, 4], [3, 2], [5, 1]], 4579751/2140353331200], [[[1, 13], [2, 4], [3, 2], [6, 2]], 1697821/6421059993600], [[[1, 13], [2, 4], [3, 2], [8, 1]], 6967931/25684239974400], [[[1, 13], [2, 4], [3, 2], [10, 1]], 1886561/16052649984000], [[[1, 13], [2, 4], [3, 3], [4, 1]], 102210097/38526359961600], [[[1, 13], [2, 4], [3, 3], [6, 1]], 16415449/9631589990400], [[[1, 13], [2, 4], [4, 1], [6, 3]], 2749/11007531417600], [[[1, 13], [2, 4], [4, 1], [7, 1]], 9033683/13317754060800], [[[1, 13], [2, 4], [4, 1], [14, 1]], 488569/39953262182400], [[[1, 13], [2, 4], [4, 2], [5, 1]], 1114889/951268147200], [[[1, 13], [2, 4], [4, 2], [6, 2]], 481/108716359680], [[[1, 13], [2, 4], [4, 2], [8, 1]], 213578909/547930452787200], [[[1, 13], [2, 4], [4, 2], [10, 1]], 39523/1189085184000], [[[1, 13], [2, 4], [4, 2], [12, 1]], 896323/17122826649600], [[[1, 13], [2, 4], [4, 3], [6, 1]], 10940333/273965226393600], [[[1, 13], [2, 4], [5, 1], [6, 2]], 799/66060288000], [[[1, 13], [2, 4], [5, 1], [8, 1]], 383207/3805072588800], [[[1, 13], [2, 4], [5, 1], [10, 1]], 2139517/35672555520000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 22193/535088332800], [[[1, 13], [2, 4], [6, 1], [14, 1]], 1303/3329438515200], [[[1, 13], [2, 4], [6, 1], [18, 1]], 943/1426902220800], [[[1, 13], [2, 4], [6, 2], [8, 1]], 10271/10273695989760], [[[1, 13], [2, 4], [6, 2], [10, 1]], 977/10701766656000], [[[1, 13], [2, 4], [8, 1], [10, 1]], 209581/57076088832000], [[[1, 13], [2, 6], [3, 1], [4, 2]], 13478022329/4109478395904000], [[[1, 13], [2, 6], [3, 1], [5, 1]], 208586477/183458856960000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 4251643/25684239974400], [[[1, 13], [2, 6], [3, 1], [8, 1]], 3053989/14269022208000], [[[1, 13], [2, 6], [3, 1], [10, 1]], 16493303/107017666560000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 201981571/68491306598400], [[[1, 13], [2, 6], [3, 2], [6, 1]], 33385823/21403533312000], [[[1, 13], [2, 6], [4, 1], [5, 1]], 3580717/2548039680000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 9353777/205473919795200], [[[1, 13], [2, 6], [4, 1], [8, 1]], 4320915947/10958609055744000], [[[1, 13], [2, 6], [4, 1], [10, 1]], 1374287/10701766656000], [[[1, 13], [2, 6], [4, 1], [12, 1]], 1143817/34245653299200], [[[1, 13], [2, 6], [4, 2], [6, 1]], 437086963/1369826131968000], [[[1, 13], [2, 6], [5, 1], [6, 1]], 1046879/5945425920000], [[[1, 13], [2, 6], [6, 1], [8, 1]], 402259/12842119987200], [[[1, 13], [2, 6], [6, 1], [10, 1]], 1202801/85614133248000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 2764156447/2348273369088000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 1479665899/3196260974592000], [[[1, 13], [2, 8], [4, 1], [6, 1]], 1612598291/5479304527872000], [[[1, 13], [3, 1], [4, 1], [16, 1]], 19/237817036800], [[[1, 13], [3, 1], [4, 2], [7, 1]], 73/18496880640], [[[1, 13], [3, 1], [4, 2], [9, 1]], 17/71345111040], [[[1, 13], [3, 1], [4, 3], [8, 1]], 409/1426902220800], [[[1, 13], [3, 1], [5, 1], [7, 1]], 1063/13005619200], [[[1, 13], [3, 1], [5, 1], [9, 1]], 31/5573836800], [[[1, 13], [3, 2], [4, 2], [5, 1]], 2489/178362777600], [[[1, 13], [3, 2], [4, 2], [12, 1]], 1699/802632499200], [[[1, 13], [3, 3], [4, 1], [8, 1]], 5/764411904], [[[1, 13], [4, 1], [7, 1], [8, 1]], 323/416179814400], [[[1, 13], [4, 2], [5, 1], [12, 1]], 127/222953472000], [[[1, 14], [2, 1], [3, 1], [4, 4]], 119531/821895679180800], [[[1, 14], [2, 1], [3, 1], [5, 2]], 133487/2229534720000], [[[1, 14], [2, 1], [3, 1], [8, 2]], 5069/17122826649600], [[[1, 14], [2, 1], [3, 1], [16, 1]], 19/237817036800], [[[1, 14], [2, 1], [3, 2], [4, 3]], 683/200658124800], [[[1, 14], [2, 1], [3, 2], [7, 1]], 713/13377208320], [[[1, 14], [2, 1], [3, 2], [9, 1]], 49/6370099200], [[[1, 14], [2, 1], [3, 3], [4, 2]], 9193/1284211998720], [[[1, 14], [2, 1], [3, 3], [5, 1]], 238969/2006581248000], [[[1, 14], [2, 1], [3, 3], [8, 1]], 7909/3210529996800], [[[1, 14], [2, 1], [3, 4], [4, 1]], 6631/214035333120], [[[1, 14], [2, 1], [3, 4], [6, 1]], 5/286654464], [[[1, 14], [2, 1], [4, 1], [5, 2]], 26207/2972712960000], [[[1, 14], [2, 1], [4, 1], [8, 2]], 211/3805072588800], [[[1, 14], [2, 1], [4, 1], [16, 1]], 29/2536715059200], [[[1, 14], [2, 1], [4, 2], [7, 1]], 223/277453209600], [[[1, 14], [2, 1], [4, 3], [5, 1]], 3971/4756340736000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 23489/182643484262400], [[[1, 14], [2, 1], [4, 3], [10, 1]], 1/190253629440], [[[1, 14], [2, 1], [4, 3], [12, 1]], 487/4280706662400], [[[1, 14], [2, 1], [5, 1], [7, 1]], 73/4128768000], [[[1, 14], [2, 1], [7, 1], [8, 1]], 11/46242201600], [[[1, 14], [2, 3], [3, 1], [4, 3]], 578917/10146860236800], [[[1, 14], [2, 3], [3, 1], [6, 3]], 437/6421059993600], [[[1, 14], [2, 3], [3, 1], [7, 1]], 465841/3329438515200], [[[1, 14], [2, 3], [3, 1], [9, 1]], 44203/4280706662400], [[[1, 14], [2, 3], [3, 1], [14, 1]], 5069/3745618329600], [[[1, 14], [2, 3], [3, 2], [4, 2]], 169609/611529523200], [[[1, 14], [2, 3], [3, 2], [5, 1]], 2355917/5350883328000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 173533/12842119987200], [[[1, 14], [2, 3], [3, 2], [8, 1]], 773183/25684239974400], [[[1, 14], [2, 3], [3, 2], [10, 1]], 3761/509607936000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 16822777/38526359961600], [[[1, 14], [2, 3], [3, 3], [6, 1]], 2077217/9631589990400], [[[1, 14], [2, 3], [4, 1], [6, 3]], 367/77052719923200], [[[1, 14], [2, 3], [4, 1], [7, 1]], 21241/295950090240], [[[1, 14], [2, 3], [4, 1], [14, 1]], 15679/39953262182400], [[[1, 14], [2, 3], [4, 2], [5, 1]], 2516903/28538044416000], [[[1, 14], [2, 3], [4, 2], [6, 2]], 8329/102736959897600], [[[1, 14], [2, 3], [4, 2], [8, 1]], 12712067/547930452787200], [[[1, 14], [2, 3], [4, 2], [10, 1]], 1291/951268147200], [[[1, 14], [2, 3], [4, 2], [12, 1]], 55873/17122826649600], [[[1, 14], [2, 3], [4, 3], [6, 1]], 317731/273965226393600], [[[1, 14], [2, 3], [5, 1], [6, 2]], 2749/4586471424000], [[[1, 14], [2, 3], [5, 1], [8, 1]], 57847/6341787648000], [[[1, 14], [2, 3], [5, 1], [10, 1]], 119407/35672555520000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 223/104044953600], [[[1, 14], [2, 3], [6, 1], [14, 1]], 29/3329438515200], [[[1, 14], [2, 3], [6, 1], [18, 1]], 29/1426902220800], [[[1, 14], [2, 3], [6, 2], [8, 1]], 967/51368479948800], [[[1, 14], [2, 3], [8, 1], [10, 1]], 1991/11415217766400], [[[1, 14], [2, 5], [3, 1], [4, 2]], 15203593/23482733690880], [[[1, 14], [2, 5], [3, 1], [5, 1]], 1137257/3170893824000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 125977/7705271992320], [[[1, 14], [2, 5], [3, 1], [8, 1]], 101449/2378170368000], [[[1, 14], [2, 5], [3, 1], [10, 1]], 686551/32105299968000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 24459221/29353417113600], [[[1, 14], [2, 5], [3, 2], [6, 1]], 8692433/25684239974400], [[[1, 14], [2, 5], [4, 1], [5, 1]], 5770019/17836277760000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 727939/205473919795200], [[[1, 14], [2, 5], [4, 1], [8, 1]], 141497171/2191721811148800], [[[1, 14], [2, 5], [4, 1], [10, 1]], 54911/4280706662400], [[[1, 14], [2, 5], [4, 1], [12, 1]], 61241/11415217766400], [[[1, 14], [2, 5], [4, 2], [6, 1]], 24392519/821895679180800], [[[1, 14], [2, 5], [5, 1], [6, 1]], 1584707/64210599936000], [[[1, 14], [2, 5], [6, 1], [8, 1]], 48943/12842119987200], [[[1, 14], [2, 5], [6, 1], [10, 1]], 100159/85614133248000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 17884973599/38355131695104000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 1722424957/12328435187712000], [[[1, 14], [2, 7], [4, 1], [6, 1]], 199654367/3287582716723200], [[[1, 15], [2, 2], [3, 1], [4, 3]], 1165379/821895679180800], [[[1, 15], [2, 2], [3, 1], [7, 1]], 4607/369937612800], [[[1, 15], [2, 2], [3, 1], [9, 1]], 943/1426902220800], [[[1, 15], [2, 2], [3, 1], [14, 1]], 89/3745618329600], [[[1, 15], [2, 2], [3, 2], [4, 2]], 859/81537269760], [[[1, 15], [2, 2], [3, 2], [5, 1]], 86207/1783627776000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1927/7705271992320], [[[1, 15], [2, 2], [3, 2], [8, 1]], 26981/17122826649600], [[[1, 15], [2, 2], [3, 2], [10, 1]], 1769/10701766656000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 856817/25684239974400], [[[1, 15], [2, 2], [3, 3], [6, 1]], 247063/19263179980800], [[[1, 15], [2, 2], [4, 1], [7, 1]], 28913/7990652436480], [[[1, 15], [2, 2], [4, 1], [14, 1]], 29/4439251353600], [[[1, 15], [2, 2], [4, 2], [5, 1]], 75163/28538044416000], [[[1, 15], [2, 2], [4, 2], [6, 2]], 139/102736959897600], [[[1, 15], [2, 2], [4, 2], [8, 1]], 3778657/6392521949184000], [[[1, 15], [2, 2], [4, 2], [10, 1]], 59/2378170368000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 1837/17122826649600], [[[1, 15], [2, 2], [4, 3], [6, 1]], 2941/273965226393600], [[[1, 15], [2, 2], [5, 1], [6, 2]], 367/32105299968000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 22961/57076088832000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 2773/35672555520000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/24970788864], [[[1, 15], [2, 2], [6, 1], [14, 1]], 1/9988315545600], [[[1, 15], [2, 2], [6, 1], [18, 1]], 1/4280706662400], [[[1, 15], [2, 2], [8, 1], [10, 1]], 29/6341787648000], [[[1, 15], [2, 4], [3, 1], [4, 2]], 56899121/821895679180800], [[[1, 15], [2, 4], [3, 1], [5, 1]], 1989223/28538044416000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 1133/1284211998720], [[[1, 15], [2, 4], [3, 1], [8, 1]], 510233/102736959897600], [[[1, 15], [2, 4], [3, 1], [10, 1]], 51931/32105299968000], [[[1, 15], [2, 4], [3, 2], [4, 1]], 1122101/8218956791808], [[[1, 15], [2, 4], [3, 2], [6, 1]], 3307141/77052719923200], [[[1, 15], [2, 4], [4, 1], [5, 1]], 1858211/42807066624000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 345617/2397195730944000], [[[1, 15], [2, 4], [4, 1], [8, 1]], 13747649/2191721811148800], [[[1, 15], [2, 4], [4, 1], [10, 1]], 45053/62426972160000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 17449/34245653299200], [[[1, 15], [2, 4], [4, 2], [6, 1]], 191003/117413668454400], [[[1, 15], [2, 4], [5, 1], [6, 1]], 120503/64210599936000], [[[1, 15], [2, 4], [6, 1], [8, 1]], 2039/6849130659840], [[[1, 15], [2, 4], [6, 1], [10, 1]], 5041/85614133248000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 1961503471/16437913583616000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 5290127/195689447424000], [[[1, 15], [2, 6], [4, 1], [6, 1]], 10788089/1420560433152000], [[[1, 15], [3, 1], [4, 2], [5, 1]], 499/3567255552000], [[[1, 15], [3, 1], [4, 2], [12, 1]], 89/6421059993600], [[[1, 15], [3, 2], [4, 1], [8, 1]], 1769/17122826649600], [[[1, 15], [4, 1], [5, 1], [8, 1]], 367/14269022208000], [[[1, 15], [4, 1], [8, 1], [12, 1]], 1/11415217766400], [[[1, 16], [2, 1], [3, 1], [4, 3]], 21677/821895679180800], [[[1, 16], [2, 1], [3, 1], [7, 1]], 16117/29964946636800], [[[1, 16], [2, 1], [3, 1], [9, 1]], 29/1426902220800], [[[1, 16], [2, 1], [3, 2], [4, 2]], 143/1223059046400], [[[1, 16], [2, 1], [3, 2], [5, 1]], 26981/10701766656000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 19/634178764800], [[[1, 16], [2, 1], [3, 3], [4, 1]], 1097/1223059046400], [[[1, 16], [2, 1], [3, 3], [6, 1]], 1769/6421059993600], [[[1, 16], [2, 1], [4, 1], [7, 1]], 2659/39953262182400], [[[1, 16], [2, 1], [4, 1], [14, 1]], 1/13317754060800], [[[1, 16], [2, 1], [4, 2], [5, 1]], 757/28538044416000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 28687/6392521949184000], [[[1, 16], [2, 1], [4, 2], [12, 1]], 2063/1027369598976000], [[[1, 16], [2, 1], [4, 3], [6, 1]], 43/273965226393600], [[[1, 16], [2, 1], [5, 1], [8, 1]], 383/57076088832000], [[[1, 16], [2, 1], [5, 1], [10, 1]], 1/2378170368000], [[[1, 16], [2, 1], [8, 1], [10, 1]], 1/19025362944000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 2341237/639252194918400], [[[1, 16], [2, 3], [3, 1], [5, 1]], 76187/9512681472000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 21311/898948399104000], [[[1, 16], [2, 3], [3, 1], [8, 1]], 6589/20547391979520], [[[1, 16], [2, 3], [3, 1], [10, 1]], 15151/249707888640000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 55499/4566087106560], [[[1, 16], [2, 3], [3, 2], [6, 1]], 9671/3210529996800], [[[1, 16], [2, 3], [4, 1], [5, 1]], 137327/42807066624000], [[[1, 16], [2, 3], [4, 1], [6, 2]], 16601/7191587192832000], [[[1, 16], [2, 3], [4, 1], [8, 1]], 11832031/34093450395648000], [[[1, 16], [2, 3], [4, 1], [10, 1]], 481/20808990720000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 133/4892236185600], [[[1, 16], [2, 3], [4, 2], [6, 1]], 2976217/57532697542656000], [[[1, 16], [2, 3], [5, 1], [6, 1]], 757/10701766656000], [[[1, 16], [2, 3], [6, 1], [8, 1]], 487/34245653299200], [[[1, 16], [2, 3], [6, 1], [10, 1]], 2063/1284211998720000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 313051477/16437913583616000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 94112623/28766348771328000], [[[1, 16], [2, 5], [4, 1], [6, 1]], 3125383/5479304527872000], [[[1, 17], [2, 2], [3, 1], [4, 2]], 37381/456608710656000], [[[1, 17], [2, 2], [3, 1], [5, 1]], 14671/28538044416000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 653/2696845197312000], [[[1, 17], [2, 2], [3, 1], [8, 1]], 3133/299649466368000], [[[1, 17], [2, 2], [3, 1], [10, 1]], 653/749123665920000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 1266941/2397195730944000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 1769/16647192576000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 823/6936330240000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 3160949/306841053560832000], [[[1, 17], [2, 2], [4, 1], [10, 1]], 379/856141332480000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 379/513684799488000], [[[1, 17], [2, 2], [4, 2], [6, 1]], 42517/57532697542656000], [[[1, 17], [2, 2], [5, 1], [6, 1]], 11/10701766656000], [[[1, 17], [2, 2], [6, 1], [8, 1]], 379/1027369598976000], [[[1, 17], [2, 2], [6, 1], [10, 1]], 23/1284211998720000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 839600327/460261580341248000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 16618097/69039237051187200], [[[1, 17], [2, 4], [4, 1], [6, 1]], 2381387/92052316068249600], [[[1, 17], [3, 1], [4, 1], [8, 1]], 653/1198597865472000], [[[1, 18], [2, 1], [3, 1], [4, 2]], 4043/6392521949184000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 3133/187280916480000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 319/2397195730944000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 20591/2397195730944000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 653/449474199552000], [[[1, 18], [2, 1], [4, 1], [5, 1]], 1133/665887703040000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 6427/43834436222976000], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/214035333120000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/128421199872000], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/256842399744000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 45795877/460261580341248000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 394279/38355131695104000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 333653/460261580341248000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 28657/10228035118694400], [[[1, 19], [2, 2], [3, 1], [6, 1]], 26573/115065395085312000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 2497/197254963003392000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 961/30684105356083200], [[[1, 20], [2, 1], [3, 1], [6, 1]], 239/115065395085312000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 157/1380784741023744000], [[[2, 1], [4, 2], [8, 3], [16, 1]], 1/65536], [[[2, 1], [4, 2], [8, 4], [12, 1]], 1/98304], [[[2, 1], [4, 4], [8, 2], [12, 2]], 1/36864], [[[2, 1], [4, 6], [8, 1], [16, 1]], 1/3145728], [[[2, 1], [4, 6], [8, 2], [12, 1]], 5/4718592], [[[2, 3], [4, 1], [8, 3], [10, 2]], 1/204800], [[[2, 3], [4, 2], [6, 1], [8, 4]], 1/393216], [[[2, 3], [4, 3], [6, 2], [8, 3]], 1/1769472], [[[2, 3], [4, 3], [8, 2], [16, 1]], 5/524288], [[[2, 3], [4, 3], [8, 3], [10, 1]], 1/491520], [[[2, 3], [4, 3], [8, 3], [12, 1]], 3/262144], [[[2, 3], [4, 4], [8, 2], [14, 1]], 1/688128], [[[2, 3], [4, 5], [6, 2], [16, 1]], 1/7077888], [[[2, 3], [4, 5], [8, 1], [10, 2]], 1/9830400], [[[2, 3], [4, 5], [8, 1], [12, 2]], 1/98304], [[[2, 3], [4, 5], [10, 1], [16, 1]], 1/1966080], [[[2, 3], [4, 5], [12, 1], [16, 1]], 1/196608], [[[2, 3], [4, 6], [6, 1], [8, 2]], 1/6291456], [[[2, 3], [4, 7], [6, 2], [8, 1]], 1/84934656], [[[2, 3], [4, 7], [8, 1], [10, 1]], 1/23592960], [[[2, 3], [4, 7], [8, 1], [12, 1]], 1/4194304], [[[2, 5], [4, 1], [6, 3], [8, 3]], 1/663552], [[[2, 5], [4, 1], [8, 3], [14, 1]], 1/172032], [[[2, 5], [4, 2], [6, 4], [8, 2]], 1/5308416], [[[2, 5], [4, 2], [8, 2], [10, 2]], 9/1638400], [[[2, 5], [4, 2], [10, 3], [12, 1]], 1/48000], [[[2, 5], [4, 3], [6, 1], [8, 3]], 29/14155776], [[[2, 5], [4, 3], [6, 3], [16, 1]], 1/442368], [[[2, 5], [4, 3], [14, 1], [16, 1]], 1/114688], [[[2, 5], [4, 4], [6, 2], [8, 2]], 1/786432], [[[2, 5], [4, 4], [6, 2], [10, 2]], 1/22118400], [[[2, 5], [4, 4], [6, 2], [12, 2]], 1/331776], [[[2, 5], [4, 4], [6, 3], [14, 1]], 1/9289728], [[[2, 5], [4, 4], [6, 3], [18, 1]], 1/3981312], [[[2, 5], [4, 4], [6, 4], [12, 1]], 1/1990656], [[[2, 5], [4, 4], [8, 1], [16, 1]], 7/6291456], [[[2, 5], [4, 4], [8, 2], [10, 1]], 1/737280], [[[2, 5], [4, 4], [8, 2], [12, 1]], 3/1048576], [[[2, 5], [4, 4], [10, 1], [12, 2]], 1/92160], [[[2, 5], [4, 4], [10, 2], [12, 1]], 1/122880], [[[2, 5], [4, 5], [6, 1], [16, 1]], 19/28311552], [[[2, 5], [4, 5], [6, 3], [8, 1]], 7/31850496], [[[2, 5], [4, 5], [8, 1], [14, 1]], 5/16515072], [[[2, 5], [4, 6], [6, 1], [14, 1]], 1/33030144], [[[2, 5], [4, 6], [6, 1], [18, 1]], 1/14155776], [[[2, 5], [4, 6], [6, 2], [10, 1]], 1/35389440], [[[2, 5], [4, 6], [6, 2], [12, 1]], 1/5308416], [[[2, 5], [4, 6], [10, 1], [12, 1]], 1/1474560], [[[2, 5], [4, 7], [6, 1], [8, 1]], 5/169869312], [[[2, 5], [6, 2], [8, 2], [10, 2]], 1/460800], [[[2, 5], [6, 3], [8, 2], [14, 1]], 1/193536], [[[2, 5], [6, 3], [8, 2], [18, 1]], 1/82944], [[[2, 7], [4, 1], [6, 2], [8, 3]], 11/14155776], [[[2, 7], [4, 1], [6, 4], [16, 1]], 1/663552], [[[2, 7], [4, 1], [8, 1], [10, 3]], 1/192000], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/150528], [[[2, 7], [4, 1], [8, 2], [16, 1]], 1/94371840], [[[2, 7], [4, 1], [8, 3], [10, 1]], 23/19660800], [[[2, 7], [4, 1], [8, 3], [12, 1]], 1/141557760], [[[2, 7], [4, 1], [10, 2], [16, 1]], 1/153600], [[[2, 7], [4, 2], [6, 1], [10, 3]], 7/768000], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/150528], [[[2, 7], [4, 2], [6, 3], [8, 2]], 17/10616832], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/276480], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/387072], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1/248832], [[[2, 7], [4, 2], [6, 5], [10, 1]], 1/2488320], [[[2, 7], [4, 2], [6, 5], [12, 1]], 1/2239488], [[[2, 7], [4, 2], [8, 2], [14, 1]], 5/2752512], [[[2, 7], [4, 2], [10, 2], [14, 1]], 1/71680], [[[2, 7], [4, 3], [6, 2], [16, 1]], 5/4718592], [[[2, 7], [4, 3], [6, 4], [8, 1]], 23/31850496], [[[2, 7], [4, 3], [8, 1], [10, 2]], 5/2359296], [[[2, 7], [4, 3], [8, 1], [12, 2]], 1/53084160], [[[2, 7], [4, 3], [10, 1], [16, 1]], 1/1310720], [[[2, 7], [4, 3], [12, 1], [16, 1]], 1/35389440], [[[2, 7], [4, 4], [6, 1], [8, 2]], 43/125829120], [[[2, 7], [4, 4], [6, 1], [10, 2]], 139/88473600], [[[2, 7], [4, 4], [6, 1], [12, 2]], 1/1327104], [[[2, 7], [4, 4], [6, 2], [14, 1]], 5/6193152], [[[2, 7], [4, 4], [6, 2], [18, 1]], 19/15925248], [[[2, 7], [4, 4], [6, 3], [10, 1]], 49/79626240], [[[2, 7], [4, 4], [6, 3], [12, 1]], 1/1327104], [[[2, 7], [4, 4], [10, 1], [14, 1]], 11/10321920], [[[2, 7], [4, 4], [12, 1], [14, 1]], 1/516096], [[[2, 7], [4, 5], [6, 2], [8, 1]], 143/679477248], [[[2, 7], [4, 5], [8, 1], [10, 1]], 143/943718400], [[[2, 7], [4, 5], [8, 1], [12, 1]], 1547/6794772480], [[[2, 7], [4, 6], [6, 1], [10, 1]], 13/141557760], [[[2, 7], [4, 6], [6, 1], [12, 1]], 13/84934656], [[[2, 7], [6, 1], [8, 2], [10, 2]], 13/1843200], [[[2, 7], [6, 1], [10, 1], [14, 2]], 1/11760], [[[2, 7], [6, 2], [8, 2], [14, 1]], 1/258048], [[[2, 7], [6, 2], [8, 2], [18, 1]], 1/331776], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/20160], [[[2, 7], [6, 2], [10, 2], [18, 1]], 1/10800], [[[2, 7], [6, 3], [8, 2], [10, 1]], 1/414720], [[[2, 7], [6, 3], [14, 1], [18, 1]], 1/18144], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/90720], [[[2, 7], [6, 4], [10, 1], [18, 1]], 1/38880], [[[2, 7], [8, 2], [10, 1], [14, 1]], 1/107520], [[[2, 9], [4, 1], [6, 1], [8, 3]], 137/1981808640], [[[2, 9], [4, 1], [6, 3], [16, 1]], 11/26542080], [[[2, 9], [4, 1], [6, 5], [8, 1]], 5/11943936], [[[2, 9], [4, 1], [14, 1], [16, 1]], 1/20643840], [[[2, 9], [4, 2], [6, 2], [8, 2]], 11/37748736], [[[2, 9], [4, 2], [6, 2], [10, 2]], 53/14745600], [[[2, 9], [4, 2], [6, 3], [14, 1]], 31/18579456], [[[2, 9], [4, 2], [6, 3], [18, 1]], 5/2654208], [[[2, 9], [4, 2], [6, 4], [10, 1]], 23/19906560], [[[2, 9], [4, 2], [6, 4], [12, 1]], 29/71663616], [[[2, 9], [4, 2], [8, 1], [16, 1]], 29/5284823040], [[[2, 9], [4, 2], [8, 2], [10, 1]], 71/471859200], [[[2, 9], [4, 2], [8, 2], [12, 1]], 19/2642411520], [[[2, 9], [4, 2], [10, 2], [12, 1]], 133/110592000], [[[2, 9], [4, 3], [6, 1], [16, 1]], 1/31457280], [[[2, 9], [4, 3], [6, 3], [8, 1]], 197/637009920], [[[2, 9], [4, 3], [8, 1], [14, 1]], 11/70778880], [[[2, 9], [4, 4], [6, 1], [14, 1]], 11/73400320], [[[2, 9], [4, 4], [6, 1], [18, 1]], 91/2548039680], [[[2, 9], [4, 4], [6, 2], [10, 1]], 673/2123366400], [[[2, 9], [4, 4], [6, 2], [12, 1]], 47/212336640], [[[2, 9], [4, 4], [10, 1], [12, 1]], 1/7077888], [[[2, 9], [4, 5], [6, 1], [8, 1]], 793/47563407360], [[[2, 9], [6, 1], [8, 2], [14, 1]], 3/4587520], [[[2, 9], [6, 1], [8, 2], [18, 1]], 1/53084160], [[[2, 9], [6, 1], [10, 2], [14, 1]], 11/403200], [[[2, 9], [6, 1], [10, 2], [18, 1]], 1/86400], [[[2, 9], [6, 2], [8, 2], [10, 1]], 43/44236800], [[[2, 9], [6, 2], [14, 1], [18, 1]], 1/72576], [[[2, 9], [6, 3], [10, 1], [14, 1]], 1/60480], [[[2, 9], [6, 3], [10, 1], [18, 1]], 1/51840], [[[2, 11], [4, 1], [6, 2], [16, 1]], 47/3963617280], [[[2, 11], [4, 1], [6, 4], [8, 1]], 221/1911029760], [[[2, 11], [4, 1], [8, 1], [10, 2]], 1037/16515072000], [[[2, 11], [4, 1], [10, 1], [16, 1]], 31/9909043200], [[[2, 11], [4, 2], [6, 1], [8, 2]], 767/95126814720], [[[2, 11], [4, 2], [6, 1], [10, 2]], 71/294912000], [[[2, 11], [4, 2], [6, 2], [14, 1]], 5/24772608], [[[2, 11], [4, 2], [6, 2], [18, 1]], 1/17694720], [[[2, 11], [4, 2], [6, 3], [10, 1]], 13/39813120], [[[2, 11], [4, 2], [6, 3], [12, 1]], 101/1254113280], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/10321920], [[[2, 11], [4, 2], [12, 1], [14, 1]], 1/92897280], [[[2, 11], [4, 3], [6, 2], [8, 1]], 491/23781703680], [[[2, 11], [4, 3], [8, 1], [10, 1]], 17/2378170368], [[[2, 11], [4, 3], [8, 1], [12, 1]], 3287/2853804441600], [[[2, 11], [4, 4], [6, 1], [10, 1]], 809/59454259200], [[[2, 11], [4, 4], [6, 1], [12, 1]], 103/17836277760], [[[2, 11], [6, 1], [8, 2], [10, 1]], 53/1238630400], [[[2, 11], [6, 1], [14, 1], [18, 1]], 1/11612160], [[[2, 11], [6, 2], [10, 1], [14, 1]], 11/3870720], [[[2, 11], [6, 2], [10, 1], [18, 1]], 1/921600], [[[2, 13], [4, 1], [6, 1], [16, 1]], 19/237817036800], [[[2, 13], [4, 1], [6, 3], [8, 1]], 5/764411904], [[[2, 13], [4, 1], [8, 1], [14, 1]], 323/416179814400], [[[2, 13], [4, 2], [6, 1], [14, 1]], 73/18496880640], [[[2, 13], [4, 2], [6, 1], [18, 1]], 17/71345111040], [[[2, 13], [4, 2], [6, 2], [10, 1]], 2489/178362777600], [[[2, 13], [4, 2], [6, 2], [12, 1]], 1699/802632499200], [[[2, 13], [4, 2], [10, 1], [12, 1]], 127/222953472000], [[[2, 13], [4, 3], [6, 1], [8, 1]], 409/1426902220800], [[[2, 13], [6, 1], [10, 1], [14, 1]], 1063/13005619200], [[[2, 13], [6, 1], [10, 1], [18, 1]], 31/5573836800], [[[2, 15], [4, 1], [6, 2], [8, 1]], 1769/17122826649600], [[[2, 15], [4, 1], [8, 1], [10, 1]], 367/14269022208000], [[[2, 15], [4, 1], [8, 1], [12, 1]], 1/11415217766400], [[[2, 15], [4, 2], [6, 1], [10, 1]], 499/3567255552000], [[[2, 15], [4, 2], [6, 1], [12, 1]], 89/6421059993600], [[[2, 17], [4, 1], [6, 1], [8, 1]], 653/1198597865472000], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 1/1179648], [[[1, 1], [2, 2], [3, 1], [4, 6], [16, 1]], 1/4718592], [[[1, 1], [2, 2], [3, 1], [4, 8], [8, 1]], 1/113246208], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 4]], 1/163840], [[[1, 1], [2, 2], [4, 1], [8, 3], [10, 2]], 1/204800], [[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 1/32768], [[[1, 1], [2, 2], [4, 1], [8, 4], [10, 1]], 1/163840], [[[1, 1], [2, 2], [4, 1], [8, 4], [12, 1]], 1/98304], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 4]], 1/393216], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 3]], 1/114688], [[[1, 1], [2, 2], [4, 2], [8, 3], [14, 1]], 1/114688], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 3]], 1/1769472], [[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/18432], [[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 79/524288], [[[1, 1], [2, 2], [4, 3], [8, 3], [10, 1]], 1/491520], [[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 91/786432], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 1/1179648], [[[1, 1], [2, 2], [4, 4], [8, 2], [14, 1]], 1/688128], [[[1, 1], [2, 2], [4, 5], [5, 1], [8, 2]], 1/1572864], [[[1, 1], [2, 2], [4, 5], [6, 2], [16, 1]], 1/7077888], [[[1, 1], [2, 2], [4, 5], [8, 1], [10, 2]], 1/9830400], [[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/32768], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 5/524288], [[[1, 1], [2, 2], [4, 5], [8, 2], [10, 1]], 1/1572864], [[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 97/4718592], [[[1, 1], [2, 2], [4, 5], [10, 1], [16, 1]], 1/1966080], [[[1, 1], [2, 2], [4, 5], [12, 1], [16, 1]], 1/65536], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 2]], 1/6291456], [[[1, 1], [2, 2], [4, 6], [6, 1], [16, 1]], 1/4718592], [[[1, 1], [2, 2], [4, 6], [7, 1], [8, 1]], 1/5505024], [[[1, 1], [2, 2], [4, 6], [8, 1], [14, 1]], 1/5505024], [[[1, 1], [2, 2], [4, 7], [6, 2], [8, 1]], 1/84934656], [[[1, 1], [2, 2], [4, 7], [8, 1], [10, 1]], 1/23592960], [[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 3/4194304], [[[1, 1], [2, 2], [4, 8], [6, 1], [8, 1]], 1/113246208], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 4]], 11/4718592], [[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 11/28311552], [[[1, 1], [2, 4], [3, 1], [4, 5], [10, 2]], 1/4915200], [[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/147456], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 3]], 1/21233664], [[[1, 1], [2, 4], [3, 1], [4, 7], [6, 2]], 1/127401984], [[[1, 1], [2, 4], [3, 1], [4, 7], [10, 1]], 11/283115520], [[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/6291456], [[[1, 1], [2, 4], [3, 1], [4, 8], [6, 1]], 7/905969664], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 4]], 1/393216], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 3]], 1/663552], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 4]], 3/524288], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 3]], 1/663552], [[[1, 1], [2, 4], [4, 1], [8, 3], [14, 1]], 1/43008], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 23/3932160], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/98304], [[[1, 1], [2, 4], [4, 2], [6, 4], [8, 2]], 1/5308416], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 3]], 1/128000], [[[1, 1], [2, 4], [4, 2], [8, 1], [14, 2]], 1/25088], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 83/1638400], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 15/524288], [[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 29/1310720], [[[1, 1], [2, 4], [4, 2], [8, 3], [12, 1]], 25/1179648], [[[1, 1], [2, 4], [4, 2], [10, 2], [16, 1]], 1/25600], [[[1, 1], [2, 4], [4, 2], [10, 3], [12, 1]], 1/48000], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 383/14155776], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 1/884736], [[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 1/124416], [[[1, 1], [2, 4], [4, 3], [6, 3], [16, 1]], 1/442368], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 2]], 5/917504], [[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 79/2752512], [[[1, 1], [2, 4], [4, 3], [14, 1], [16, 1]], 3/114688], [[[1, 1], [2, 4], [4, 4], [5, 1], [10, 2]], 1/614400], [[[1, 1], [2, 4], [4, 4], [5, 1], [16, 1]], 1/327680], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 47/7077888], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 2]], 1/22118400], [[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 1/110592], [[[1, 1], [2, 4], [4, 4], [6, 2], [16, 1]], 53/7077888], [[[1, 1], [2, 4], [4, 4], [6, 3], [14, 1]], 1/9289728], [[[1, 1], [2, 4], [4, 4], [6, 3], [18, 1]], 1/3981312], [[[1, 1], [2, 4], [4, 4], [6, 4], [12, 1]], 1/1990656], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 2]], 21/3276800], [[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 31/884736], [[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 139/6291456], [[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 61/2949120], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 71/1048576], [[[1, 1], [2, 4], [4, 4], [10, 1], [12, 2]], 1/30720], [[[1, 1], [2, 4], [4, 4], [10, 1], [16, 1]], 7/393216], [[[1, 1], [2, 4], [4, 4], [10, 2], [12, 1]], 7/614400], [[[1, 1], [2, 4], [4, 4], [12, 1], [16, 1]], 5/147456], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 3]], 1/26542080], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 13/3145728], [[[1, 1], [2, 4], [4, 5], [6, 1], [10, 2]], 1/14745600], [[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 1/147456], [[[1, 1], [2, 4], [4, 5], [6, 1], [16, 1]], 61/28311552], [[[1, 1], [2, 4], [4, 5], [6, 2], [7, 1]], 1/12386304], [[[1, 1], [2, 4], [4, 5], [6, 2], [14, 1]], 1/4128768], [[[1, 1], [2, 4], [4, 5], [6, 2], [18, 1]], 1/2654208], [[[1, 1], [2, 4], [4, 5], [6, 3], [8, 1]], 7/31850496], [[[1, 1], [2, 4], [4, 5], [6, 3], [12, 1]], 17/15925248], [[[1, 1], [2, 4], [4, 5], [7, 1], [10, 1]], 1/3440640], [[[1, 1], [2, 4], [4, 5], [7, 1], [12, 1]], 1/344064], [[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 17/16515072], [[[1, 1], [2, 4], [4, 5], [10, 1], [14, 1]], 1/3440640], [[[1, 1], [2, 4], [4, 5], [12, 1], [14, 1]], 1/344064], [[[1, 1], [2, 4], [4, 6], [5, 1], [8, 1]], 23/188743680], [[[1, 1], [2, 4], [4, 6], [5, 1], [10, 1]], 1/7864320], [[[1, 1], [2, 4], [4, 6], [6, 1], [14, 1]], 1/11010048], [[[1, 1], [2, 4], [4, 6], [6, 1], [18, 1]], 1/4718592], [[[1, 1], [2, 4], [4, 6], [6, 2], [8, 1]], 13/21233664], [[[1, 1], [2, 4], [4, 6], [6, 2], [10, 1]], 1/35389440], [[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 1/1769472], [[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 311/188743680], [[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 343/56623104], [[[1, 1], [2, 4], [4, 6], [10, 1], [12, 1]], 1/491520], [[[1, 1], [2, 4], [4, 7], [5, 1], [6, 1]], 1/94371840], [[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 17/169869312], [[[1, 1], [2, 4], [4, 7], [6, 1], [10, 1]], 1/35389440], [[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 1/6291456], [[[1, 1], [2, 4], [5, 1], [6, 2], [8, 3]], 1/368640], [[[1, 1], [2, 4], [5, 1], [8, 2], [10, 2]], 1/12800], [[[1, 1], [2, 4], [5, 1], [8, 3], [10, 1]], 1/102400], [[[1, 1], [2, 4], [6, 1], [8, 3], [14, 1]], 1/86016], [[[1, 1], [2, 4], [6, 1], [8, 3], [18, 1]], 1/36864], [[[1, 1], [2, 4], [6, 2], [8, 2], [10, 2]], 1/460800], [[[1, 1], [2, 4], [6, 2], [8, 2], [16, 1]], 1/147456], [[[1, 1], [2, 4], [6, 2], [8, 3], [10, 1]], 1/368640], [[[1, 1], [2, 4], [6, 3], [8, 2], [14, 1]], 1/193536], [[[1, 1], [2, 4], [6, 3], [8, 2], [18, 1]], 1/82944], [[[1, 1], [2, 4], [8, 2], [10, 1], [16, 1]], 1/40960], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 1/983040], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 5]], 1/5971968], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 5/5971968], [[[1, 1], [2, 6], [3, 1], [4, 4], [16, 1]], 1/3145728], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 3]], 37/191102976], [[[1, 1], [2, 6], [3, 1], [4, 5], [14, 1]], 5/24772608], [[[1, 1], [2, 6], [3, 1], [4, 6], [6, 2]], 13/84934656], [[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 83/2264924160], [[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 5/254803968], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 3]], 1/884736], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/36000], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/7056], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 2]], 1/248832], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 3]], 1/96000], [[[1, 1], [2, 6], [3, 1], [8, 3], [10, 1]], 1/368640], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 3]], 1/80000], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 167/14155776], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/96000], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 1/18816], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 1/294912], [[[1, 1], [2, 6], [4, 1], [6, 4], [16, 1]], 1/221184], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 1/12000], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 1/21504], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 67/2457600], [[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 31/94371840], [[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 643/19660800], [[[1, 1], [2, 6], [4, 1], [8, 3], [12, 1]], 31/141557760], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/15680], [[[1, 1], [2, 6], [4, 1], [10, 2], [16, 1]], 7/153600], [[[1, 1], [2, 6], [4, 1], [10, 3], [12, 1]], 1/48000], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/131072], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 3/256000], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/50176], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 61/3538944], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/276480], [[[1, 1], [2, 6], [4, 2], [6, 3], [16, 1]], 7/442368], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/387072], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/248832], [[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/3981312], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 1/2488320], [[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 1/2239488], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 57/917504], [[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/51200], [[[1, 1], [2, 6], [4, 2], [14, 1], [16, 1]], 17/344064], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 4]], 1/1105920], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 17/15728640], [[[1, 1], [2, 6], [4, 3], [5, 1], [10, 2]], 1/204800], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 19/1572864], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 41/5529600], [[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 1/165888], [[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 11/1572864], [[[1, 1], [2, 6], [4, 3], [6, 3], [7, 1]], 1/774144], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 5/580608], [[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 13/995328], [[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 85/31850496], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 11/9953280], [[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 31/5971968], [[[1, 1], [2, 6], [4, 3], [7, 1], [14, 1]], 1/200704], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 2009/58982400], [[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 31/53084160], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 53/7864320], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 679/47185920], [[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 51/5242880], [[[1, 1], [2, 6], [4, 3], [10, 1], [12, 2]], 1/69120], [[[1, 1], [2, 6], [4, 3], [10, 1], [16, 1]], 31/3932160], [[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 101/1843200], [[[1, 1], [2, 6], [4, 3], [12, 1], [16, 1]], 31/35389440], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 9887/1132462080], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 277/88473600], [[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 1/147456], [[[1, 1], [2, 6], [4, 4], [6, 1], [16, 1]], 7/884736], [[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/387072], [[[1, 1], [2, 6], [4, 4], [6, 2], [18, 1]], 61/15925248], [[[1, 1], [2, 6], [4, 4], [6, 3], [8, 1]], 569/127401984], [[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 73/79626240], [[[1, 1], [2, 6], [4, 4], [6, 3], [12, 1]], 13/3981312], [[[1, 1], [2, 6], [4, 4], [7, 1], [8, 1]], 1/1572864], [[[1, 1], [2, 6], [4, 4], [8, 1], [14, 1]], 247/33030144], [[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/294912], [[[1, 1], [2, 6], [4, 4], [12, 1], [14, 1]], 1/86016], [[[1, 1], [2, 6], [4, 5], [5, 1], [6, 2]], 1/3538944], [[[1, 1], [2, 6], [4, 5], [5, 1], [10, 1]], 11/29491200], [[[1, 1], [2, 6], [4, 5], [5, 1], [12, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 5], [6, 1], [7, 1]], 19/49545216], [[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 13/8257536], [[[1, 1], [2, 6], [4, 5], [6, 1], [18, 1]], 49/21233664], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1067/679477248], [[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 19/11796480], [[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 43/10616832], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 961/314572800], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 49397/6794772480], [[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 187/17694720], [[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 1207/1358954496], [[[1, 1], [2, 6], [4, 6], [6, 1], [10, 1]], 23/70778880], [[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 1/1048576], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 3]], 1/1474560], [[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 1/6000], [[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/21600], [[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/2800], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/24000], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 2]], 43/1843200], [[[1, 1], [2, 6], [6, 1], [8, 2], [16, 1]], 1/589824], [[[1, 1], [2, 6], [6, 1], [8, 3], [10, 1]], 13/1474560], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/11760], [[[1, 1], [2, 6], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 1], [2, 6], [6, 2], [8, 2], [14, 1]], 5/258048], [[[1, 1], [2, 6], [6, 2], [8, 2], [18, 1]], 7/331776], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/20160], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 6], [6, 2], [14, 1], [16, 1]], 1/32256], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/115200], [[[1, 1], [2, 6], [6, 3], [8, 2], [10, 1]], 1/165888], [[[1, 1], [2, 6], [6, 3], [10, 1], [16, 1]], 1/69120], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/18144], [[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 1/145152], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/62208], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/90720], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/38880], [[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 3/44800], [[[1, 1], [2, 6], [8, 2], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 6], [10, 1], [14, 1], [16, 1]], 1/8960], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/6718464], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/288000], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/225792], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 25/11943936], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 7/15925248], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 61/566231040], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 83/88473600], [[[1, 1], [2, 8], [3, 1], [4, 3], [12, 2]], 1/79626240], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 173/254803968], [[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 523/5096079360], [[[1, 1], [2, 8], [3, 1], [4, 5], [10, 1]], 943/16986931200], [[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 683/10192158720], [[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 53/6794772480], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 3]], 1/5242880], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/72000], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/56448], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 2]], 11/5308416], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 7/172800], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/31104], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/31104], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 5/8957952], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/116640], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 1/1492992], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 5219/1981808640], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/19200], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 1/25088], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 77/21233664], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 53/2073600], [[[1, 1], [2, 8], [4, 1], [6, 3], [16, 1]], 37/8847360], [[[1, 1], [2, 8], [4, 1], [6, 4], [7, 1]], 1/1161216], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 61/3483648], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/41472], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 31/11943936], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/311040], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 5/4478976], [[[1, 1], [2, 8], [4, 1], [7, 1], [8, 2]], 1/165150720], [[[1, 1], [2, 8], [4, 1], [7, 1], [10, 2]], 1/268800], [[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 793/165150720], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 41/537600], [[[1, 1], [2, 8], [4, 1], [14, 1], [16, 1]], 31/20643840], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/409600], [[[1, 1], [2, 8], [4, 2], [5, 1], [16, 1]], 1/58982400], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1063/113246208], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 257/14745600], [[[1, 1], [2, 8], [4, 2], [6, 2], [16, 1]], 49/7864320], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 65/6193152], [[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 11/884736], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 167/31850496], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/245760], [[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 185/71663616], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 437/32768000], [[[1, 1], [2, 8], [4, 2], [8, 1], [12, 2]], 1/53084160], [[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 1429/5284823040], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 5537/471859200], [[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 2353/7927234560], [[[1, 1], [2, 8], [4, 2], [10, 1], [16, 1]], 7/1638400], [[[1, 1], [2, 8], [4, 2], [10, 2], [12, 1]], 1363/110592000], [[[1, 1], [2, 8], [4, 2], [12, 1], [16, 1]], 1/17694720], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 3]], 31/53084160], [[[1, 1], [2, 8], [4, 3], [5, 1], [14, 1]], 1/1720320], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 467/188743680], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1709/88473600], [[[1, 1], [2, 8], [4, 3], [6, 1], [12, 2]], 1/983040], [[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 13/18874368], [[[1, 1], [2, 8], [4, 3], [6, 2], [7, 1]], 5/8257536], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 269/24772608], [[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 205/15925248], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 2977/637009920], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 19/2211840], [[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 497/95551488], [[[1, 1], [2, 8], [4, 3], [7, 1], [10, 1]], 1/2293760], [[[1, 1], [2, 8], [4, 3], [7, 1], [12, 1]], 1/61931520], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 3917/495452160], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 293/20643840], [[[1, 1], [2, 8], [4, 3], [12, 1], [14, 1]], 23/2293760], [[[1, 1], [2, 8], [4, 4], [5, 1], [8, 1]], 707/11324620800], [[[1, 1], [2, 8], [4, 4], [5, 1], [10, 1]], 91/1415577600], [[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 2887/1981808640], [[[1, 1], [2, 8], [4, 4], [6, 1], [18, 1]], 1381/2548039680], [[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 9419/3397386240], [[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 4573/2123366400], [[[1, 1], [2, 8], [4, 4], [6, 2], [12, 1]], 457/212336640], [[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 7901/3774873600], [[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 3091/2378170368], [[[1, 1], [2, 8], [4, 4], [10, 1], [12, 1]], 343/176947200], [[[1, 1], [2, 8], [4, 5], [5, 1], [6, 1]], 11/209715200], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 6593/9512681472], [[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 881/471859200], [[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 2003/1132462080], [[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 1/28800], [[[1, 1], [2, 8], [5, 1], [6, 4], [8, 1]], 1/1658880], [[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 8], [5, 1], [8, 1], [10, 2]], 1/384000], [[[1, 1], [2, 8], [5, 1], [8, 2], [10, 1]], 1/29491200], [[[1, 1], [2, 8], [6, 1], [8, 2], [14, 1]], 277/41287680], [[[1, 1], [2, 8], [6, 1], [8, 2], [18, 1]], 31/53084160], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 53/403200], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 7/86400], [[[1, 1], [2, 8], [6, 1], [14, 1], [16, 1]], 1/129024], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/51200], [[[1, 1], [2, 8], [6, 2], [8, 2], [10, 1]], 343/44236800], [[[1, 1], [2, 8], [6, 2], [10, 1], [16, 1]], 1/92160], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 1/10368], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/82944], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 1/10368], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 23/4976640], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 5/23887872], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 13/14929920], [[[1, 1], [2, 10], [3, 1], [4, 2], [16, 1]], 31/23781703680], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 119/955514880], [[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 29/743178240], [[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 107/2229534720], [[[1, 1], [2, 10], [3, 1], [4, 4], [8, 1]], 401/114152177664], [[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 683/142690222080], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 2]], 137/743178240], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 143/13824000], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 23/2903040], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 11/2488320], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 151/716636160], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 13/1492992], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 53/221184000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 151/597196800], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 2]], 143/39636172800], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 53/184320000], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 43/70778880], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 2059/110592000], [[[1, 1], [2, 10], [4, 1], [6, 2], [16, 1]], 89/264241152], [[[1, 1], [2, 10], [4, 1], [6, 3], [7, 1]], 11/46448640], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 11/1244160], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 61/6635520], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 4771/1911029760], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 259/39813120], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 151/358318080], [[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 1/36126720], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 27319/5505024000], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 59/7927234560], [[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 4261/13212057600], [[[1, 1], [2, 10], [4, 1], [8, 2], [12, 1]], 29/7927234560], [[[1, 1], [2, 10], [4, 1], [10, 1], [16, 1]], 1207/9909043200], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 53/110592000], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 71423/95126814720], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1037/294912000], [[[1, 1], [2, 10], [4, 2], [6, 1], [16, 1]], 467/2642411520], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 17/5898240], [[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 13/10616832], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 115/63700992], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 271/79626240], [[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 67/62705664], [[[1, 1], [2, 10], [4, 2], [7, 1], [8, 1]], 29/9248440320], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 813/1027604480], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 47/25804800], [[[1, 1], [2, 10], [4, 2], [12, 1], [14, 1]], 17/46448640], [[[1, 1], [2, 10], [4, 3], [5, 1], [6, 2]], 1/14155776], [[[1, 1], [2, 10], [4, 3], [5, 1], [10, 1]], 1/29491200], [[[1, 1], [2, 10], [4, 3], [5, 1], [12, 1]], 1/265420800], [[[1, 1], [2, 10], [4, 3], [6, 1], [7, 1]], 1/55050240], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 103/61931520], [[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 211/637009920], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 25159/23781703680], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1853/530841600], [[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 5281/4459069440], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 36041/59454259200], [[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 204077/2853804441600], [[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 73/103219200], [[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 5219/27179089920], [[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 7681/29727129600], [[[1, 1], [2, 10], [4, 4], [6, 1], [12, 1]], 2563/17836277760], [[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 1/512000], [[[1, 1], [2, 10], [5, 1], [6, 3], [8, 1]], 11/66355200], [[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 11/8294400], [[[1, 1], [2, 10], [5, 1], [8, 1], [14, 1]], 1/51609600], [[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/6451200], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 53/24576000], [[[1, 1], [2, 10], [6, 1], [8, 2], [10, 1]], 499/619315200], [[[1, 1], [2, 10], [6, 1], [10, 1], [16, 1]], 1/1638400], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 31/11612160], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 11/6193152], [[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 1/1474560], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 25/774144], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 139/8294400], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 469/199065600], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 53/51609600], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 821/20065812480], [[[1, 1], [2, 12], [3, 1], [4, 1], [8, 2]], 1/3170893824], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 367/24772608000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 2011/35672555520], [[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 587/107017666560], [[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 2147/1426902220800], [[[1, 1], [2, 12], [3, 1], [4, 3], [12, 1]], 1271/4280706662400], [[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 15383/34245653299200], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 2]], 379/356725555200], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1037/6193152000], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 989/2601123840], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 29/1114767360], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 3191/160526499840], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 617/696729600], [[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/371589120], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 3191/133772083200], [[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/309657600], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1091/79272345600], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 5657/4954521600], [[[1, 1], [2, 12], [4, 1], [6, 1], [16, 1]], 49/11324620800], [[[1, 1], [2, 12], [4, 1], [6, 2], [7, 1]], 47/6936330240], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 19991/20808990720], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 383/1486356480], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 2155/5350883328], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 1487/928972800], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 3191/80263249920], [[[1, 1], [2, 12], [4, 1], [7, 1], [10, 1]], 31/17340825600], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 3809/59454259200], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 7783/17340825600], [[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/185794560], [[[1, 1], [2, 12], [4, 2], [5, 1], [8, 1]], 221/679477248000], [[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 17/39636172800], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 6649/55490641920], [[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 779/71345111040], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 15199/142690222080], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 8663/25480396800], [[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 53449/802632499200], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 170291/4756340736000], [[[1, 1], [2, 12], [4, 2], [8, 1], [12, 1]], 1721/1426902220800], [[[1, 1], [2, 12], [4, 2], [10, 1], [12, 1]], 5317/222953472000], [[[1, 1], [2, 12], [4, 3], [5, 1], [6, 1]], 73/52848230400], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 5717/203843174400], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 12581/89181388800], [[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 122327/4280706662400], [[[1, 1], [2, 12], [5, 1], [6, 2], [8, 1]], 47/9909043200], [[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 47/1238630400], [[[1, 1], [2, 12], [5, 1], [8, 1], [10, 1]], 31/24772608000], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 1063/20808990720], [[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 31/8918138880], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 25759/13005619200], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 1207/5573836800], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 4429/29727129600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 7909/4815794995200], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 11/69363302400], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 331/428070666240], [[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 517/34245653299200], [[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 1/17836277760], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 323/156067430400], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 67/160526499840], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 797/47775744000], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 11/99090432000], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 67/133772083200], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 11/82575360000], [[[1, 1], [2, 14], [4, 1], [6, 1], [7, 1]], 19/416179814400], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 2239/124853944320], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/943718400], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 187717/17122826649600], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 57689/891813888000], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 67/80263249920], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 43627/14269022208000], [[[1, 1], [2, 14], [4, 1], [8, 1], [12, 1]], 29/3805072588800], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 11/49545216000], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 15893/11415217766400], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 1889/297271296000], [[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 5069/6421059993600], [[[1, 1], [2, 14], [5, 1], [6, 1], [8, 1]], 19/594542592000], [[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 19/74317824000], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 3497/1783627776000], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 19/951268147200], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 383/85614133248000], [[[1, 1], [2, 16], [3, 1], [4, 1], [12, 1]], 1/17122826649600], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 11/4280706662400], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 37/14676708556800], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 367/5350883328000], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 37/12230590464000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 95293/1198597865472000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 901/1426902220800], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 37/7338354278400], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 319/3595793596416000], [[[1, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 4]], 1/393216], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 1/1179648], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 2]], 1/6291456], [[[1, 2], [2, 1], [3, 1], [4, 6], [16, 1]], 1/4718592], [[[1, 2], [2, 1], [3, 1], [4, 8], [8, 1]], 1/113246208], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 3]], 1/1769472], [[[1, 2], [2, 1], [3, 2], [4, 5], [16, 1]], 1/7077888], [[[1, 2], [2, 1], [3, 2], [4, 7], [8, 1]], 1/84934656], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 4]], 1/163840], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 3]], 1/204800], [[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 1/32768], [[[1, 2], [2, 1], [4, 1], [8, 4], [10, 1]], 1/163840], [[[1, 2], [2, 1], [4, 1], [8, 4], [12, 1]], 1/98304], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 3]], 1/114688], [[[1, 2], [2, 1], [4, 2], [8, 3], [14, 1]], 1/114688], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 3]], 1/491520], [[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/18432], [[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 79/524288], [[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 91/786432], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 1/1179648], [[[1, 2], [2, 1], [4, 4], [7, 1], [8, 2]], 1/688128], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 2]], 1/1572864], [[[1, 2], [2, 1], [4, 5], [5, 1], [16, 1]], 1/1966080], [[[1, 2], [2, 1], [4, 5], [5, 2], [8, 1]], 1/9830400], [[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/32768], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 5/524288], [[[1, 2], [2, 1], [4, 5], [8, 2], [10, 1]], 1/1572864], [[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 97/4718592], [[[1, 2], [2, 1], [4, 5], [12, 1], [16, 1]], 1/65536], [[[1, 2], [2, 1], [4, 6], [6, 1], [16, 1]], 1/4718592], [[[1, 2], [2, 1], [4, 6], [7, 1], [8, 1]], 1/5505024], [[[1, 2], [2, 1], [4, 6], [8, 1], [14, 1]], 1/5505024], [[[1, 2], [2, 1], [4, 7], [5, 1], [8, 1]], 1/23592960], [[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 3/4194304], [[[1, 2], [2, 1], [4, 8], [6, 1], [8, 1]], 1/113246208], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 4]], 41/4718592], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 71/4718592], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 67/14155776], [[[1, 2], [2, 3], [3, 1], [4, 5], [10, 2]], 1/4915200], [[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 5], [16, 1]], 65/9437184], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 3]], 1/21233664], [[[1, 2], [2, 3], [3, 1], [4, 6], [7, 1]], 5/33030144], [[[1, 2], [2, 3], [3, 1], [4, 6], [9, 1]], 1/14155776], [[[1, 2], [2, 3], [3, 1], [4, 6], [14, 1]], 1/8257536], [[[1, 2], [2, 3], [3, 1], [4, 7], [6, 2]], 7/127401984], [[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 23/56623104], [[[1, 2], [2, 3], [3, 1], [4, 7], [10, 1]], 17/283115520], [[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 1/2097152], [[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 79/2717908992], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 4]], 13/1179648], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 3]], 1/663552], [[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 1/884736], [[[1, 2], [2, 3], [3, 2], [4, 4], [10, 2]], 1/22118400], [[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 5/331776], [[[1, 2], [2, 3], [3, 2], [4, 6], [6, 2]], 19/127401984], [[[1, 2], [2, 3], [3, 2], [4, 6], [10, 1]], 1/11796480], [[[1, 2], [2, 3], [3, 2], [4, 6], [12, 1]], 7/10616832], [[[1, 2], [2, 3], [3, 2], [4, 7], [6, 1]], 1/21233664], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 3]], 1/110592], [[[1, 2], [2, 3], [3, 2], [8, 2], [10, 2]], 1/460800], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 4]], 19/1572864], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 3]], 1/57344], [[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 1/28672], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 269/3932160], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 21/1638400], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/98304], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 1/128000], [[[1, 2], [2, 3], [4, 2], [8, 1], [14, 2]], 1/25088], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 19/327680], [[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 1/36864], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 181/524288], [[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 111/1310720], [[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 187/1179648], [[[1, 2], [2, 3], [4, 2], [10, 2], [16, 1]], 1/25600], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 21/524288], [[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 1/884736], [[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 1/124416], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 79/917504], [[[1, 2], [2, 3], [4, 3], [7, 1], [16, 1]], 1/114688], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 43/393216], [[[1, 2], [2, 3], [4, 3], [14, 1], [16, 1]], 3/114688], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 7/524288], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 2]], 11/6144000], [[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 1/92160], [[[1, 2], [2, 3], [4, 4], [5, 1], [16, 1]], 3/327680], [[[1, 2], [2, 3], [4, 4], [5, 2], [6, 2]], 1/22118400], [[[1, 2], [2, 3], [4, 4], [5, 2], [10, 1]], 1/6144000], [[[1, 2], [2, 3], [4, 4], [5, 2], [12, 1]], 1/614400], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 23/3538944], [[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 7/331776], [[[1, 2], [2, 3], [4, 4], [6, 2], [16, 1]], 53/7077888], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 2]], 21/3276800], [[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 109/884736], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 57/524288], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 257/7864320], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1181/4718592], [[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 1/30720], [[[1, 2], [2, 3], [4, 4], [10, 1], [16, 1]], 47/1966080], [[[1, 2], [2, 3], [4, 4], [10, 2], [12, 1]], 1/204800], [[[1, 2], [2, 3], [4, 4], [12, 1], [16, 1]], 17/147456], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 3]], 1/26542080], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 5/589824], [[[1, 2], [2, 3], [4, 5], [6, 1], [10, 2]], 1/14745600], [[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 1/49152], [[[1, 2], [2, 3], [4, 5], [6, 1], [16, 1]], 79/9437184], [[[1, 2], [2, 3], [4, 5], [6, 2], [7, 1]], 1/12386304], [[[1, 2], [2, 3], [4, 5], [6, 2], [14, 1]], 1/4128768], [[[1, 2], [2, 3], [4, 5], [6, 2], [18, 1]], 1/2654208], [[[1, 2], [2, 3], [4, 5], [6, 3], [12, 1]], 17/15925248], [[[1, 2], [2, 3], [4, 5], [7, 1], [8, 1]], 31/5505024], [[[1, 2], [2, 3], [4, 5], [7, 1], [10, 1]], 1/3440640], [[[1, 2], [2, 3], [4, 5], [7, 1], [12, 1]], 1/114688], [[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 5/786432], [[[1, 2], [2, 3], [4, 5], [10, 1], [14, 1]], 1/3440640], [[[1, 2], [2, 3], [4, 5], [12, 1], [14, 1]], 1/114688], [[[1, 2], [2, 3], [4, 6], [5, 1], [6, 2]], 1/11796480], [[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 77/188743680], [[[1, 2], [2, 3], [4, 6], [5, 1], [10, 1]], 19/39321600], [[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1/1474560], [[[1, 2], [2, 3], [4, 6], [6, 1], [7, 1]], 1/8257536], [[[1, 2], [2, 3], [4, 6], [6, 1], [14, 1]], 1/4718592], [[[1, 2], [2, 3], [4, 6], [6, 1], [18, 1]], 1/4718592], [[[1, 2], [2, 3], [4, 6], [6, 2], [8, 1]], 13/21233664], [[[1, 2], [2, 3], [4, 6], [6, 2], [12, 1]], 11/10616832], [[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 73/37748736], [[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 1069/56623104], [[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 1/491520], [[[1, 2], [2, 3], [4, 7], [5, 1], [6, 1]], 1/31457280], [[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 1/2097152], [[[1, 2], [2, 3], [4, 7], [6, 1], [10, 1]], 1/35389440], [[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/2097152], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 3]], 1/368640], [[[1, 2], [2, 3], [5, 1], [8, 2], [10, 2]], 11/128000], [[[1, 2], [2, 3], [5, 1], [8, 3], [10, 1]], 3/51200], [[[1, 2], [2, 3], [5, 2], [6, 2], [8, 2]], 1/460800], [[[1, 2], [2, 3], [5, 2], [8, 2], [10, 1]], 1/128000], [[[1, 2], [2, 3], [6, 1], [8, 3], [14, 1]], 1/86016], [[[1, 2], [2, 3], [6, 1], [8, 3], [18, 1]], 1/36864], [[[1, 2], [2, 3], [6, 2], [8, 2], [16, 1]], 1/147456], [[[1, 2], [2, 3], [6, 2], [8, 3], [10, 1]], 1/368640], [[[1, 2], [2, 3], [8, 2], [10, 1], [16, 1]], 1/40960], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 749/23592960], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 7/384000], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/37632], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 5]], 1/5971968], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 119/95551488], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 61/8388608], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 2]], 97/9830400], [[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 7/331776], [[[1, 2], [2, 5], [3, 1], [4, 4], [16, 1]], 31/9437184], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 529/191102976], [[[1, 2], [2, 5], [3, 1], [4, 5], [14, 1]], 17/24772608], [[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 23/283115520], [[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 487/509607936], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 1553/2264924160], [[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 53/35389440], [[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 85/21233664], [[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 199/509607936], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 3]], 1/60000], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 3]], 17/884736], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/36000], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/7056], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 13/1990656], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 3]], 1/96000], [[[1, 2], [2, 5], [3, 1], [8, 2], [10, 2]], 17/614400], [[[1, 2], [2, 5], [3, 1], [8, 3], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 3]], 31/14155776], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 4]], 1/497664], [[[1, 2], [2, 5], [3, 2], [4, 3], [16, 1]], 23/14155776], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 223/71663616], [[[1, 2], [2, 5], [3, 2], [4, 4], [14, 1]], 5/5308416], [[[1, 2], [2, 5], [3, 2], [4, 5], [6, 2]], 13/10616832], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 155/679477248], [[[1, 2], [2, 5], [3, 2], [4, 6], [6, 1]], 61/509607936], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 3]], 1/221184], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 1/216000], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/42336], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 31/1492992], [[[1, 2], [2, 5], [3, 2], [8, 2], [14, 1]], 1/387072], [[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/100800], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 3/262144], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 11/80000], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 95/2359296], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/96000], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/18816], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 1/294912], [[[1, 2], [2, 5], [4, 1], [6, 4], [16, 1]], 1/221184], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 7/64000], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 5/50176], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 469/2457600], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 151/6291456], [[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 19/163840], [[[1, 2], [2, 5], [4, 1], [8, 3], [12, 1]], 7/1048576], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/15680], [[[1, 2], [2, 5], [4, 1], [10, 2], [16, 1]], 1/10240], [[[1, 2], [2, 5], [4, 1], [10, 3], [12, 1]], 1/48000], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 3]], 1/276480], [[[1, 2], [2, 5], [4, 2], [5, 2], [14, 1]], 1/358400], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 45/524288], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 7/768000], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/21504], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 311/10616832], [[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 1/124416], [[[1, 2], [2, 5], [4, 2], [6, 3], [16, 1]], 11/442368], [[[1, 2], [2, 5], [4, 2], [6, 4], [7, 1]], 1/1161216], [[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 1/3981312], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 5/344064], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 2]], 13/358400], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 755/2752512], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 11/358400], [[[1, 2], [2, 5], [4, 2], [14, 1], [16, 1]], 59/344064], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 4]], 1/1105920], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 481/15728640], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 191/3072000], [[[1, 2], [2, 5], [4, 3], [5, 1], [16, 1]], 5/262144], [[[1, 2], [2, 5], [4, 3], [5, 2], [8, 1]], 47/19660800], [[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/102400], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 395/4718592], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 41/5529600], [[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 5/165888], [[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 349/7077888], [[[1, 2], [2, 5], [4, 3], [6, 3], [7, 1]], 1/774144], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 5/580608], [[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 13/995328], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 85/31850496], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 11/9953280], [[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 31/5971968], [[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 3/200704], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 307/3276800], [[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 37/1179648], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 1043/7864320], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 9823/47185920], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 8539/47185920], [[[1, 2], [2, 5], [4, 3], [10, 1], [12, 2]], 1/17280], [[[1, 2], [2, 5], [4, 3], [10, 1], [16, 1]], 197/1966080], [[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 191/1843200], [[[1, 2], [2, 5], [4, 3], [12, 1], [16, 1]], 139/2359296], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 3]], 61/19906560], [[[1, 2], [2, 5], [4, 4], [5, 1], [7, 1]], 1/573440], [[[1, 2], [2, 5], [4, 4], [5, 1], [14, 1]], 29/10321920], [[[1, 2], [2, 5], [4, 4], [5, 2], [6, 1]], 91/88473600], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 6073/113246208], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 21/3276800], [[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 49/1327104], [[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 451/14155776], [[[1, 2], [2, 5], [4, 4], [6, 2], [7, 1]], 1/221184], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 149/12386304], [[[1, 2], [2, 5], [4, 4], [6, 2], [18, 1]], 77/5308416], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 1097/127401984], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 1/737280], [[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 31/1990656], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 139/11010048], [[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 19/1720320], [[[1, 2], [2, 5], [4, 4], [7, 1], [12, 1]], 5/258048], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 1243/33030144], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 23/1720320], [[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 11/258048], [[[1, 2], [2, 5], [4, 5], [5, 1], [6, 2]], 1/1105920], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 13/4194304], [[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 7/1310720], [[[1, 2], [2, 5], [4, 5], [5, 1], [12, 1]], 1/245760], [[[1, 2], [2, 5], [4, 5], [6, 1], [7, 1]], 61/49545216], [[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 41/8257536], [[[1, 2], [2, 5], [4, 5], [6, 1], [18, 1]], 151/21233664], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 421/37748736], [[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 73/35389440], [[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 73/5308416], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 79/3145728], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 9527/150994944], [[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 631/17694720], [[[1, 2], [2, 5], [4, 6], [5, 1], [6, 1]], 1/1966080], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 5101/1358954496], [[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 407/283115520], [[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 505/84934656], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 3]], 7/1474560], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 11/60000], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/11760], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 2]], 1/165888], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/21600], [[[1, 2], [2, 5], [5, 1], [8, 2], [14, 1]], 1/26880], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 11/28000], [[[1, 2], [2, 5], [5, 2], [6, 1], [8, 2]], 1/1843200], [[[1, 2], [2, 5], [5, 2], [6, 1], [10, 2]], 1/60000], [[[1, 2], [2, 5], [5, 2], [6, 2], [14, 1]], 1/100800], [[[1, 2], [2, 5], [5, 2], [6, 3], [10, 1]], 1/216000], [[[1, 2], [2, 5], [5, 2], [10, 1], [14, 1]], 1/28000], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/24000], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 2], [2, 5], [6, 1], [8, 2], [10, 2]], 7/122880], [[[1, 2], [2, 5], [6, 1], [8, 2], [16, 1]], 7/589824], [[[1, 2], [2, 5], [6, 1], [8, 3], [10, 1]], 43/1474560], [[[1, 2], [2, 5], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 2], [2, 5], [6, 2], [7, 1], [8, 2]], 1/258048], [[[1, 2], [2, 5], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 2], [2, 5], [6, 2], [8, 2], [14, 1]], 5/129024], [[[1, 2], [2, 5], [6, 2], [8, 2], [18, 1]], 7/110592], [[[1, 2], [2, 5], [6, 2], [14, 1], [16, 1]], 1/32256], [[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/42336], [[[1, 2], [2, 5], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/115200], [[[1, 2], [2, 5], [6, 3], [8, 1], [16, 1]], 1/110592], [[[1, 2], [2, 5], [6, 3], [8, 2], [10, 1]], 1/110592], [[[1, 2], [2, 5], [6, 3], [10, 1], [16, 1]], 1/69120], [[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 1/145152], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/62208], [[[1, 2], [2, 5], [7, 1], [8, 2], [10, 1]], 1/71680], [[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 3/44800], [[[1, 2], [2, 5], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 1/14336], [[[1, 2], [2, 5], [10, 1], [14, 1], [16, 1]], 1/8960], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 1/6718464], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 3]], 523/283115520], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 7/288000], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/32256], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 187/35831808], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 703/47775744], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 4069/566231040], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 671/88473600], [[[1, 2], [2, 7], [3, 1], [4, 3], [12, 2]], 31/79626240], [[[1, 2], [2, 7], [3, 1], [4, 3], [16, 1]], 533/283115520], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 571/84934656], [[[1, 2], [2, 7], [3, 1], [4, 4], [7, 1]], 1171/5945425920], [[[1, 2], [2, 7], [3, 1], [4, 4], [9, 1]], 91/2548039680], [[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 227/49545216], [[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 20113/5096079360], [[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 5647/6794772480], [[[1, 2], [2, 7], [3, 1], [4, 5], [10, 1]], 10153/16986931200], [[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 1873/2038431744], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 13357/20384317440], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 1/2799360], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 3]], 553/141557760], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 23/288000], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/7056], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 91/5308416], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 11/129600], [[[1, 2], [2, 7], [3, 1], [6, 3], [16, 1]], 1/55296], [[[1, 2], [2, 7], [3, 1], [6, 4], [7, 1]], 1/870912], [[[1, 2], [2, 7], [3, 1], [6, 4], [9, 1]], 1/373248], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 29/435456], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 5/46656], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 59/8957952], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/103680], [[[1, 2], [2, 7], [3, 1], [7, 1], [8, 2]], 1/123863040], [[[1, 2], [2, 7], [3, 1], [7, 1], [10, 2]], 1/201600], [[[1, 2], [2, 7], [3, 1], [8, 2], [9, 1]], 1/53084160], [[[1, 2], [2, 7], [3, 1], [8, 2], [14, 1]], 1/172032], [[[1, 2], [2, 7], [3, 1], [9, 1], [10, 2]], 1/86400], [[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/26880], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1/279936], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 821/71663616], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 289/566231040], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 127/44236800], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 19/3981312], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1727/1528823808], [[[1, 2], [2, 7], [3, 2], [4, 4], [10, 1]], 251/707788800], [[[1, 2], [2, 7], [3, 2], [4, 4], [12, 1]], 283/637009920], [[[1, 2], [2, 7], [3, 2], [4, 5], [6, 1]], 103/849346560], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 161/31850496], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/41472], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 169/1306368], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 19/186624], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 7/746496], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 7/174960], [[[1, 2], [2, 7], [3, 2], [8, 2], [10, 1]], 7/4915200], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 11/7464960], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 2381/94371840], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/9600], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 13/75264], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 649/21233664], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 83/2073600], [[[1, 2], [2, 7], [4, 1], [6, 3], [16, 1]], 23/884736], [[[1, 2], [2, 7], [4, 1], [6, 4], [7, 1]], 1/387072], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 13/497664], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 5/124416], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 53/11943936], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/311040], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 11/4478976], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 31/165150720], [[[1, 2], [2, 7], [4, 1], [7, 1], [10, 2]], 1/38400], [[[1, 2], [2, 7], [4, 1], [7, 1], [16, 1]], 1/20643840], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 14023/165150720], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 19/107520], [[[1, 2], [2, 7], [4, 1], [14, 1], [16, 1]], 71/1376256], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 47/6635520], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 401/94371840], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 223/4096000], [[[1, 2], [2, 7], [4, 2], [5, 1], [16, 1]], 31/58982400], [[[1, 2], [2, 7], [4, 2], [5, 2], [6, 2]], 7/4915200], [[[1, 2], [2, 7], [4, 2], [5, 2], [10, 1]], 19/12288000], [[[1, 2], [2, 7], [4, 2], [5, 2], [12, 1]], 1/110592000], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 11129/113246208], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 11/163840], [[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 1/331776], [[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 349/7864320], [[[1, 2], [2, 7], [4, 2], [6, 3], [7, 1]], 1/110592], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 61/1032192], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 11/147456], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 737/31850496], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 251/19906560], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 173/11943936], [[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 1/37632], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 21131/98304000], [[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 31/53084160], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 2291/188743680], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 2093/10485760], [[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 2441/283115520], [[[1, 2], [2, 7], [4, 2], [10, 1], [12, 2]], 1/276480], [[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 457/9830400], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 197/2457600], [[[1, 2], [2, 7], [4, 2], [12, 1], [16, 1]], 31/17694720], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 3]], 13/3538944], [[[1, 2], [2, 7], [4, 3], [5, 1], [14, 1]], 3/573440], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 11747/188743680], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 4793/88473600], [[[1, 2], [2, 7], [4, 3], [6, 1], [12, 2]], 277/26542080], [[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 8521/283115520], [[[1, 2], [2, 7], [4, 3], [6, 2], [7, 1]], 11/2752512], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1145/24772608], [[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 841/15925248], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 251/7077888], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 127/6635520], [[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 2573/95551488], [[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 355/99090432], [[[1, 2], [2, 7], [4, 3], [7, 1], [10, 1]], 31/6881280], [[[1, 2], [2, 7], [4, 3], [7, 1], [12, 1]], 31/61931520], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 12211/165150720], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1193/20643840], [[[1, 2], [2, 7], [4, 3], [12, 1], [14, 1]], 1417/20643840], [[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 1697/424673280], [[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 32717/11324620800], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 43061/7077888000], [[[1, 2], [2, 7], [4, 4], [5, 1], [12, 1]], 227/58982400], [[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 109/24772608], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 7669/396361728], [[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 3077/169869312], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 90239/3397386240], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 289/14155776], [[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1073/42467328], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 172891/3774873600], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 492281/11890851840], [[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 7837/176947200], [[[1, 2], [2, 7], [4, 5], [5, 1], [6, 1]], 2887/5662310400], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 1645/150994944], [[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 11503/1415577600], [[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 43319/3397386240], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 2]], 7/1769472], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 19/96000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/51840], [[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/51840], [[[1, 2], [2, 7], [5, 1], [6, 4], [8, 1]], 1/552960], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 61/3110400], [[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 17/384000], [[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 911/147456000], [[[1, 2], [2, 7], [5, 2], [6, 1], [14, 1]], 1/403200], [[[1, 2], [2, 7], [5, 2], [6, 2], [10, 1]], 1/288000], [[[1, 2], [2, 7], [6, 1], [7, 1], [8, 2]], 1/1032192], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 13/403200], [[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 263/8257536], [[[1, 2], [2, 7], [6, 1], [8, 2], [18, 1]], 31/3538944], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1/6400], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/9600], [[[1, 2], [2, 7], [6, 1], [14, 1], [16, 1]], 1/18432], [[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 1/56448], [[[1, 2], [2, 7], [6, 2], [7, 1], [18, 1]], 1/72576], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 11/153600], [[[1, 2], [2, 7], [6, 2], [8, 1], [16, 1]], 1/147456], [[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/32768], [[[1, 2], [2, 7], [6, 2], [10, 1], [16, 1]], 1/18432], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 1/8064], [[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 5/82944], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 53/4976640], [[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 1/23520], [[[1, 2], [2, 7], [8, 1], [10, 1], [16, 1]], 1/122880], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 983/71663616], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 28331/2866544640], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 12277/31708938240], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 5171/884736000], [[[1, 2], [2, 9], [3, 1], [4, 2], [12, 2]], 1/79626240], [[[1, 2], [2, 9], [3, 1], [4, 2], [16, 1]], 1207/23781703680], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 869/95551488], [[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 533/743178240], [[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 281/16986931200], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 14467/7134511104], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 149047/570760888320], [[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 1631/2123366400], [[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 3517/8918138880], [[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 9797/35672555520], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 29/89579520], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 2]], 1/117964800], [[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 133/138240000], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 4817/1486356480], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 2351/27648000], [[[1, 2], [2, 9], [3, 1], [6, 2], [16, 1]], 11/4423680], [[[1, 2], [2, 9], [3, 1], [6, 3], [7, 1]], 11/34836480], [[[1, 2], [2, 9], [3, 1], [6, 3], [9, 1]], 11/14929920], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 2591/34836480], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 247/4976640], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 5311/716636160], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 91/1866240], [[[1, 2], [2, 9], [3, 1], [7, 1], [14, 1]], 1/27095040], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 803/221184000], [[[1, 2], [2, 9], [3, 1], [8, 1], [16, 1]], 1/70778880], [[[1, 2], [2, 9], [3, 1], [8, 2], [10, 1]], 13/29491200], [[[1, 2], [2, 9], [3, 1], [9, 1], [14, 1]], 1/11612160], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 65/17915904], [[[1, 2], [2, 9], [3, 2], [4, 1], [16, 1]], 29/11890851840], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1969/716636160], [[[1, 2], [2, 9], [3, 2], [4, 2], [14, 1]], 13/61931520], [[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 47/79626240], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 73/2642411520], [[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 137/3344302080], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 2]], 431/4459069440], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 143/82944000], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 79/8709120], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 11/14929920], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 23/9953280], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 1307/44789760], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 29/29030400], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 1411/597196800], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 2]], 6191/39636172800], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 2873/184320000], [[[1, 2], [2, 9], [4, 1], [5, 1], [16, 1]], 17/660602880], [[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 47/5505024000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/18432000], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 427/35389440], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 11359/110592000], [[[1, 2], [2, 9], [4, 1], [6, 2], [16, 1]], 377/47185920], [[[1, 2], [2, 9], [4, 1], [6, 3], [7, 1]], 37/15482880], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 271/4354560], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 49/737280], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 6025/382205952], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 1063/39813120], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 1411/358318080], [[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 31/36126720], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 31469/589824000], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 2747/7927234560], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 128357/13212057600], [[[1, 2], [2, 9], [4, 1], [8, 2], [12, 1]], 1037/7927234560], [[[1, 2], [2, 9], [4, 1], [10, 1], [16, 1]], 13/2621440], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 803/110592000], [[[1, 2], [2, 9], [4, 1], [12, 1], [16, 1]], 1/35389440], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 469/132710400], [[[1, 2], [2, 9], [4, 2], [5, 1], [7, 1]], 1/103219200], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 307/103219200], [[[1, 2], [2, 9], [4, 2], [5, 2], [6, 1]], 31/294912000], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 21799/1132462080], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 6787/98304000], [[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 7/26542080], [[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 2087/528482304], [[[1, 2], [2, 9], [4, 2], [6, 2], [7, 1]], 59/17694720], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 67/1474560], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 719/17694720], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 3629/127401984], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 1219/31850496], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 2393/238878720], [[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 1429/9248440320], [[[1, 2], [2, 9], [4, 2], [7, 1], [10, 1]], 29/12902400], [[[1, 2], [2, 9], [4, 2], [7, 1], [12, 1]], 1/30965760], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 358157/9248440320], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 2497/51609600], [[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 247/30965760], [[[1, 2], [2, 9], [4, 3], [5, 1], [6, 2]], 119/117964800], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 3673/9909043200], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 2183/1769472000], [[[1, 2], [2, 9], [4, 3], [5, 1], [12, 1]], 17/132710400], [[[1, 2], [2, 9], [4, 3], [6, 1], [7, 1]], 13/33030144], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 2159/123863040], [[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 3409/637009920], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 481/26542080], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 6979/265420800], [[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 11321/891813888], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 272033/19818086400], [[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 10915/4227858432], [[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 3229/309657600], [[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 17971/29727129600], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 215057/27179089920], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 70939/5662310400], [[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 5387/849346560], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 2]], 163/619315200], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 419/11520000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 23/4838400], [[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 11/4147200], [[[1, 2], [2, 9], [5, 1], [6, 3], [8, 1]], 37/22118400], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 463/24883200], [[[1, 2], [2, 9], [5, 1], [8, 1], [14, 1]], 31/51609600], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 271/32256000], [[[1, 2], [2, 9], [5, 2], [6, 1], [10, 1]], 1/5120000], [[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 3/1003520], [[[1, 2], [2, 9], [6, 1], [7, 1], [18, 1]], 1/11612160], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 583/24576000], [[[1, 2], [2, 9], [6, 1], [8, 1], [16, 1]], 1/2621440], [[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 149/23592960], [[[1, 2], [2, 9], [6, 1], [10, 1], [16, 1]], 139/14745600], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 5/258048], [[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 43/9676800], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 125/6193152], [[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 139/13271040], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 47/430080], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 41/552960], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 3649/199065600], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 803/51609600], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 100123/20065812480], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 533/23781703680], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 10279/24772608000], [[[1, 2], [2, 11], [3, 1], [4, 1], [16, 1]], 79/47563407360], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 577763/321052999680], [[[1, 2], [2, 11], [3, 1], [4, 2], [7, 1]], 47/55490641920], [[[1, 2], [2, 11], [3, 1], [4, 2], [9, 1]], 17/71345111040], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 8231/41617981440], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 69389/107017666560], [[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 6329/285380444160], [[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 70289/1426902220800], [[[1, 2], [2, 11], [3, 1], [4, 3], [12, 1]], 54221/4280706662400], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 2377373/34245653299200], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 101/1567641600], [[[1, 2], [2, 11], [3, 1], [5, 1], [14, 1]], 1/116121600], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 667/11147673600], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 8783/2064384000], [[[1, 2], [2, 11], [3, 1], [6, 1], [16, 1]], 29/1981808640], [[[1, 2], [2, 11], [3, 1], [6, 2], [7, 1]], 47/5202247680], [[[1, 2], [2, 11], [3, 1], [6, 2], [9, 1]], 47/2229534720], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 19693/2601123840], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 383/371589120], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 149327/160526499840], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 29249/2090188800], [[[1, 2], [2, 11], [3, 1], [7, 1], [10, 1]], 31/13005619200], [[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 37/371589120], [[[1, 2], [2, 11], [3, 1], [9, 1], [10, 1]], 31/5573836800], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/3870720], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 617/1672151040], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 3229/42807066624], [[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 61/6606028800], [[[1, 2], [2, 11], [3, 2], [4, 2], [12, 1]], 211/200658124800], [[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 137/17836277760], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 989/15606743040], [[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 29/6688604160], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 989/8918138880], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 703/836075520], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 60479/133772083200], [[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 37/309657600], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 2911/4954521600], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 86801/4954521600], [[[1, 2], [2, 11], [4, 1], [6, 1], [16, 1]], 715/3170893824], [[[1, 2], [2, 11], [4, 1], [6, 2], [7, 1]], 89/462422016], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 300383/20808990720], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 1723/297271296], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 2095/382205952], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 16537/928972800], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 60479/80263249920], [[[1, 2], [2, 11], [4, 1], [7, 1], [8, 1]], 1223/416179814400], [[[1, 2], [2, 11], [4, 1], [7, 1], [10, 1]], 1207/17340825600], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 50009/27745320960], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 30419/3468165120], [[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 37/185794560], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 347/943718400], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 118337/4756340736000], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 37211/198180864000], [[[1, 2], [2, 11], [4, 2], [5, 1], [12, 1]], 799/222953472000], [[[1, 2], [2, 11], [4, 2], [6, 1], [7, 1]], 3859/41617981440], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 14149/2642411520], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 7351/7927234560], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 765439/142690222080], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 34507/2972712960], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 11033/8918138880], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 13842281/4756340736000], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 101051/1426902220800], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 2921/4954521600], [[[1, 2], [2, 11], [4, 3], [5, 1], [6, 1]], 6649/158544691200], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 315943/285380444160], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 247337/89181388800], [[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 3187277/4280706662400], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 989/4335206400], [[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 29/1857945600], [[[1, 2], [2, 11], [5, 1], [6, 2], [8, 1]], 89/660602880], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 4271/2654208000], [[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 227/4128768000], [[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 53/270950400], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 25759/20808990720], [[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 1207/8918138880], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 93/5734400], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 19/7372800], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 85573/29727129600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 1513909/4815794995200], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 73/9909043200], [[[1, 2], [2, 13], [3, 1], [4, 2], [5, 1]], 59/792723456000], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 738481/12842119987200], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 10331/6849130659840], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 109/14155776000], [[[1, 2], [2, 13], [3, 1], [4, 2], [12, 1]], 1/2378170368], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 14939/2140353331200], [[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 1699/1003290624000], [[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 127/278691840000], [[[1, 2], [2, 13], [3, 1], [6, 1], [7, 1]], 19/312134860800], [[[1, 2], [2, 13], [3, 1], [6, 1], [9, 1]], 19/133772083200], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 29731/312134860800], [[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 17/26754416640], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 1489/57330892800], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 15377/27869184000], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 73/14155776000], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 797/114661785600], [[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 1229/17122826649600], [[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 1019/2568423997440], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 323/535088332800], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 797/286654464000], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 713/38220595200], [[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 281/679477248000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 191/23592960000], [[[1, 2], [2, 13], [4, 1], [6, 1], [7, 1]], 7/2831155200], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 69823/124853944320], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 8819/178362777600], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 15319/48922361856], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 1451789/891813888000], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 713/22932357120], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 21461/198180864000], [[[1, 2], [2, 13], [4, 1], [8, 1], [12, 1]], 1471/3805072588800], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 73/7077888000], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1999/297271296000], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 1515719/11415217766400], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 3118463/7134511104000], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 56683/2140353331200], [[[1, 2], [2, 13], [5, 1], [6, 1], [8, 1]], 49/28311552000], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 3799/159252480000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 133487/1783627776000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 23407/5136847994880], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 121/4892236185600], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 22961/85614133248000], [[[1, 2], [2, 15], [3, 1], [4, 1], [12, 1]], 29/5707608883200], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 11057/25684239974400], [[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 89/8026324992000], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 20521/102736959897600], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 21239/5350883328000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 367/12842119987200], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 16117/85614133248000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 129121/34245653299200], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 8333/285380444160], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 16117/51368479948800], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 32971/1797896798208000], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 4]], 19/1572864], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 21/524288], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 2]], 1/14745600], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 5/589824], [[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 1/49152], [[[1, 3], [2, 2], [3, 1], [4, 5], [16, 1]], 79/9437184], [[[1, 3], [2, 2], [3, 1], [4, 6], [7, 1]], 1/4718592], [[[1, 3], [2, 2], [3, 1], [4, 6], [9, 1]], 1/4718592], [[[1, 3], [2, 2], [3, 1], [4, 6], [14, 1]], 1/8257536], [[[1, 3], [2, 2], [3, 1], [4, 7], [5, 1]], 1/35389440], [[[1, 3], [2, 2], [3, 1], [4, 7], [6, 2]], 1/21233664], [[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 1/2097152], [[[1, 3], [2, 2], [3, 1], [4, 7], [10, 1]], 1/31457280], [[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/2097152], [[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 79/2717908992], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 4]], 13/1179648], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 3]], 1/86016], [[[1, 3], [2, 2], [3, 1], [8, 3], [9, 1]], 1/36864], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/98304], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 23/3538944], [[[1, 3], [2, 2], [3, 2], [4, 4], [10, 2]], 1/22118400], [[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 7/331776], [[[1, 3], [2, 2], [3, 2], [4, 4], [16, 1]], 53/7077888], [[[1, 3], [2, 2], [3, 2], [4, 5], [7, 1]], 1/4128768], [[[1, 3], [2, 2], [3, 2], [4, 5], [9, 1]], 1/2654208], [[[1, 3], [2, 2], [3, 2], [4, 5], [14, 1]], 1/12386304], [[[1, 3], [2, 2], [3, 2], [4, 6], [6, 2]], 19/127401984], [[[1, 3], [2, 2], [3, 2], [4, 6], [8, 1]], 13/21233664], [[[1, 3], [2, 2], [3, 2], [4, 6], [10, 1]], 1/11796480], [[[1, 3], [2, 2], [3, 2], [4, 6], [12, 1]], 11/10616832], [[[1, 3], [2, 2], [3, 2], [4, 7], [6, 1]], 7/127401984], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 3]], 1/368640], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 3]], 1/110592], [[[1, 3], [2, 2], [3, 2], [8, 2], [10, 2]], 1/460800], [[[1, 3], [2, 2], [3, 2], [8, 2], [16, 1]], 1/147456], [[[1, 3], [2, 2], [3, 2], [8, 3], [10, 1]], 1/368640], [[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 1/884736], [[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 1/124416], [[[1, 3], [2, 2], [3, 3], [4, 5], [10, 1]], 1/26542080], [[[1, 3], [2, 2], [3, 3], [4, 5], [12, 1]], 17/15925248], [[[1, 3], [2, 2], [3, 3], [4, 6], [6, 1]], 1/21233664], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 3]], 1/663552], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 4]], 41/4718592], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 1/28672], [[[1, 3], [2, 2], [4, 1], [8, 3], [14, 1]], 1/57344], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 111/1310720], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 19/327680], [[[1, 3], [2, 2], [4, 2], [5, 2], [16, 1]], 1/25600], [[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 1/128000], [[[1, 3], [2, 2], [4, 2], [7, 2], [8, 1]], 1/25088], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 21/1638400], [[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 1/36864], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 181/524288], [[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 269/3932160], [[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 187/1179648], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 71/4718592], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 43/393216], [[[1, 3], [2, 2], [4, 3], [7, 1], [16, 1]], 3/114688], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 79/917504], [[[1, 3], [2, 2], [4, 3], [14, 1], [16, 1]], 1/114688], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 257/7864320], [[[1, 3], [2, 2], [4, 4], [5, 1], [10, 2]], 1/6144000], [[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 1/30720], [[[1, 3], [2, 2], [4, 4], [5, 1], [16, 1]], 47/1966080], [[[1, 3], [2, 2], [4, 4], [5, 2], [6, 2]], 1/22118400], [[[1, 3], [2, 2], [4, 4], [5, 2], [8, 1]], 21/3276800], [[[1, 3], [2, 2], [4, 4], [5, 2], [10, 1]], 11/6144000], [[[1, 3], [2, 2], [4, 4], [5, 2], [12, 1]], 1/204800], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 1/884736], [[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 5/331776], [[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 109/884736], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 57/524288], [[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 7/524288], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1181/4718592], [[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 1/92160], [[[1, 3], [2, 2], [4, 4], [10, 1], [16, 1]], 3/327680], [[[1, 3], [2, 2], [4, 4], [10, 2], [12, 1]], 1/614400], [[[1, 3], [2, 2], [4, 4], [12, 1], [16, 1]], 17/147456], [[[1, 3], [2, 2], [4, 5], [5, 1], [7, 1]], 1/3440640], [[[1, 3], [2, 2], [4, 5], [5, 1], [14, 1]], 1/3440640], [[[1, 3], [2, 2], [4, 5], [5, 2], [6, 1]], 1/4915200], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 67/14155776], [[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 1/49152], [[[1, 3], [2, 2], [4, 5], [6, 1], [16, 1]], 65/9437184], [[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 5/786432], [[[1, 3], [2, 2], [4, 5], [7, 1], [12, 1]], 1/114688], [[[1, 3], [2, 2], [4, 5], [8, 1], [14, 1]], 31/5505024], [[[1, 3], [2, 2], [4, 5], [12, 1], [14, 1]], 1/114688], [[[1, 3], [2, 2], [4, 6], [5, 1], [6, 2]], 1/11796480], [[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 73/37748736], [[[1, 3], [2, 2], [4, 6], [5, 1], [10, 1]], 19/39321600], [[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 1/491520], [[[1, 3], [2, 2], [4, 6], [6, 1], [7, 1]], 1/8257536], [[[1, 3], [2, 2], [4, 6], [6, 1], [14, 1]], 5/33030144], [[[1, 3], [2, 2], [4, 6], [6, 1], [18, 1]], 1/14155776], [[[1, 3], [2, 2], [4, 6], [6, 2], [12, 1]], 7/10616832], [[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 77/188743680], [[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 1069/56623104], [[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1/1474560], [[[1, 3], [2, 2], [4, 7], [5, 1], [6, 1]], 17/283115520], [[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 23/56623104], [[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 1/2097152], [[[1, 3], [2, 2], [5, 1], [8, 2], [10, 2]], 1/128000], [[[1, 3], [2, 2], [5, 1], [8, 2], [16, 1]], 1/40960], [[[1, 3], [2, 2], [5, 1], [8, 3], [10, 1]], 3/51200], [[[1, 3], [2, 2], [5, 2], [6, 2], [8, 2]], 1/460800], [[[1, 3], [2, 2], [5, 2], [8, 2], [10, 1]], 11/128000], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 607/4718592], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 7/384000], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/37632], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 4]], 13/31850496], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 6289/75497472], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 2]], 353/29491200], [[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 53/663552], [[[1, 3], [2, 4], [3, 1], [4, 4], [16, 1]], 413/9437184], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 185/63700992], [[[1, 3], [2, 4], [3, 1], [4, 5], [7, 1]], 125/24772608], [[[1, 3], [2, 4], [3, 1], [4, 5], [9, 1]], 49/21233664], [[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 25/5505024], [[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 83/283115520], [[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 1429/509607936], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 1661/226492416], [[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 23/8847360], [[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 551/42467328], [[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 25/18874368], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 3]], 5/294912], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 1/60000], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/6000], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 3]], 35/884736], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 2]], 5/1990656], [[[1, 3], [2, 4], [3, 1], [8, 2], [10, 2]], 19/614400], [[[1, 3], [2, 4], [3, 1], [8, 2], [16, 1]], 5/196608], [[[1, 3], [2, 4], [3, 1], [8, 3], [10, 1]], 13/491520], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 3]], 259/14155776], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 3]], 1/288000], [[[1, 3], [2, 4], [3, 2], [4, 1], [14, 2]], 1/56448], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 1/497664], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 9/524288], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 2]], 61/5529600], [[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 11/497664], [[[1, 3], [2, 4], [3, 2], [4, 3], [16, 1]], 155/14155776], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 215/35831808], [[[1, 3], [2, 4], [3, 2], [4, 4], [14, 1]], 59/37158912], [[[1, 3], [2, 4], [3, 2], [4, 5], [5, 1]], 47/106168320], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 161/21233664], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1871/679477248], [[[1, 3], [2, 4], [3, 2], [4, 5], [10, 1]], 7/1966080], [[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 193/15925248], [[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 1081/509607936], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 3]], 23/884736], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/216000], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/42336], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 29/746496], [[[1, 3], [2, 4], [3, 2], [8, 2], [14, 1]], 1/96768], [[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/100800], [[[1, 3], [2, 4], [3, 2], [14, 1], [16, 1]], 1/32256], [[[1, 3], [2, 4], [3, 3], [4, 2], [16, 1]], 1/331776], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 19/2985984], [[[1, 3], [2, 4], [3, 3], [4, 3], [14, 1]], 1/580608], [[[1, 3], [2, 4], [3, 3], [4, 4], [6, 2]], 23/7962624], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 79/127401984], [[[1, 3], [2, 4], [3, 3], [4, 5], [6, 1]], 7/21233664], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 2]], 1/55296], [[[1, 3], [2, 4], [3, 3], [8, 1], [10, 2]], 1/345600], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 159/1310720], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 11/80000], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 2]], 1/15680], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 71/2457600], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 3/20000], [[[1, 3], [2, 4], [4, 1], [5, 3], [6, 2]], 1/288000], [[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 1/80000], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 2]], 1/56448], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 107/2359296], [[[1, 3], [2, 4], [4, 1], [6, 4], [16, 1]], 1/663552], [[[1, 3], [2, 4], [4, 1], [7, 2], [10, 1]], 1/15680], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/32000], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 3/50176], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 473/2457600], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 1369/6291456], [[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 191/983040], [[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 91/3145728], [[[1, 3], [2, 4], [4, 1], [10, 2], [16, 1]], 3/51200], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 3]], 1/276480], [[[1, 3], [2, 4], [4, 2], [5, 2], [14, 1]], 3/358400], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 277/1572864], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/153600], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 5/150528], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 145/10616832], [[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 1/124416], [[[1, 3], [2, 4], [4, 2], [6, 3], [16, 1]], 1/82944], [[[1, 3], [2, 4], [4, 2], [6, 4], [7, 1]], 1/1161216], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 139/688128], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 2]], 3/71680], [[[1, 3], [2, 4], [4, 2], [7, 1], [16, 1]], 17/344064], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1105/2752512], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 9/358400], [[[1, 3], [2, 4], [4, 2], [14, 1], [16, 1]], 59/344064], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1159/7864320], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 277/3072000], [[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 1/69120], [[[1, 3], [2, 4], [4, 3], [5, 1], [16, 1]], 93/1310720], [[[1, 3], [2, 4], [4, 3], [5, 2], [6, 2]], 61/5529600], [[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 323/19660800], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 131/3072000], [[[1, 3], [2, 4], [4, 3], [5, 2], [12, 1]], 11/614400], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 419/4718592], [[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 23/497664], [[[1, 3], [2, 4], [4, 3], [6, 2], [16, 1]], 373/7077888], [[[1, 3], [2, 4], [4, 3], [6, 3], [7, 1]], 1/580608], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 23/31850496], [[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 1/50176], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 149/1966080], [[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 139/1179648], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 1115/2359296], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 817/2621440], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 8497/14155776], [[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 1/17280], [[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 19/131072], [[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 41/614400], [[[1, 3], [2, 4], [4, 3], [12, 1], [16, 1]], 469/2359296], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 3]], 61/19906560], [[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 3/573440], [[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 89/10321920], [[[1, 3], [2, 4], [4, 4], [5, 2], [6, 1]], 277/88473600], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 13733/113246208], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 143/29491200], [[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 119/1327104], [[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 611/9437184], [[[1, 3], [2, 4], [4, 4], [6, 2], [7, 1]], 1/193536], [[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 127/12386304], [[[1, 3], [2, 4], [4, 4], [6, 2], [18, 1]], 7/589824], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 607/127401984], [[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 7/6635520], [[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 13/995328], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 1081/16515072], [[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 29/1720320], [[[1, 3], [2, 4], [4, 4], [7, 1], [12, 1]], 37/516096], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 1381/16515072], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 5/344064], [[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 11/129024], [[[1, 3], [2, 4], [4, 5], [5, 1], [6, 2]], 37/8847360], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 851/62914560], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1043/58982400], [[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 331/17694720], [[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 9/1835008], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 209/24772608], [[[1, 3], [2, 4], [4, 5], [6, 1], [18, 1]], 151/21233664], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 155/12582912], [[[1, 3], [2, 4], [4, 5], [6, 2], [10, 1]], 19/21233664], [[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 695/31850496], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 77/2359296], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 2801/16777216], [[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 143/3538944], [[[1, 3], [2, 4], [4, 6], [5, 1], [6, 1]], 19/11796480], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 721/75497472], [[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 401/283115520], [[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 1199/84934656], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 3]], 11/491520], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 1/60000], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/11760], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 2]], 1/165888], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/2800], [[[1, 3], [2, 4], [5, 1], [8, 2], [14, 1]], 1/15360], [[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 1/28000], [[[1, 3], [2, 4], [5, 1], [14, 1], [16, 1]], 1/8960], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 2]], 7/1843200], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 11/60000], [[[1, 3], [2, 4], [5, 2], [6, 2], [14, 1]], 1/100800], [[[1, 3], [2, 4], [5, 2], [6, 3], [8, 1]], 1/345600], [[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 1/216000], [[[1, 3], [2, 4], [5, 2], [8, 1], [14, 1]], 3/44800], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 11/28000], [[[1, 3], [2, 4], [6, 1], [8, 2], [10, 2]], 1/24576], [[[1, 3], [2, 4], [6, 1], [8, 2], [16, 1]], 7/196608], [[[1, 3], [2, 4], [6, 1], [8, 3], [10, 1]], 11/294912], [[[1, 3], [2, 4], [6, 2], [7, 1], [8, 2]], 1/86016], [[[1, 3], [2, 4], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 3], [2, 4], [6, 2], [7, 1], [16, 1]], 1/32256], [[[1, 3], [2, 4], [6, 2], [8, 2], [14, 1]], 1/43008], [[[1, 3], [2, 4], [6, 2], [8, 2], [18, 1]], 5/110592], [[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 1/42336], [[[1, 3], [2, 4], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 3], [2, 4], [6, 3], [8, 1], [16, 1]], 1/110592], [[[1, 3], [2, 4], [6, 3], [8, 2], [10, 1]], 1/184320], [[[1, 3], [2, 4], [7, 1], [8, 1], [10, 2]], 3/44800], [[[1, 3], [2, 4], [7, 1], [8, 2], [10, 1]], 3/71680], [[[1, 3], [2, 4], [7, 1], [10, 1], [16, 1]], 1/8960], [[[1, 3], [2, 4], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 3/71680], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 9673/283115520], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 7/128000], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/18816], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 139/35831808], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 2]], 7/5898240], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1073/47775744], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 59687/566231040], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1001/14745600], [[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 95/5308416], [[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 5903/283115520], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 14243/382205952], [[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 12541/5945425920], [[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1381/2548039680], [[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 311/16515072], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 2753/1415577600], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 185/9437184], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 109807/6794772480], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 5903/377487360], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 77561/3397386240], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 133993/20384317440], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/2799360], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/172800], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 3]], 3551/141557760], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 3/32000], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/4704], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 419/7962624], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/16200], [[[1, 3], [2, 6], [3, 1], [6, 3], [16, 1]], 5/82944], [[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 19/870912], [[[1, 3], [2, 6], [3, 1], [6, 4], [9, 1]], 1/124416], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 1/20736], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 5/46656], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 7/995328], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/933120], [[[1, 3], [2, 6], [3, 1], [7, 1], [8, 2]], 31/123863040], [[[1, 3], [2, 6], [3, 1], [7, 1], [10, 2]], 1/28800], [[[1, 3], [2, 6], [3, 1], [8, 2], [9, 1]], 31/53084160], [[[1, 3], [2, 6], [3, 1], [8, 2], [14, 1]], 5/129024], [[[1, 3], [2, 6], [3, 1], [9, 1], [10, 2]], 7/86400], [[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/19200], [[[1, 3], [2, 6], [3, 1], [14, 1], [16, 1]], 1/43008], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/248832], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 3071/71663616], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 10559/566231040], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 787/44236800], [[[1, 3], [2, 6], [3, 2], [4, 2], [16, 1]], 337/70778880], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 4237/71663616], [[[1, 3], [2, 6], [3, 2], [4, 3], [7, 1]], 29/24772608], [[[1, 3], [2, 6], [3, 2], [4, 3], [9, 1]], 1/1769472], [[[1, 3], [2, 6], [3, 2], [4, 3], [14, 1]], 1061/74317824], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 39851/1528823808], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 4421/1132462080], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 5933/2123366400], [[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 2833/637009920], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 2057/566231040], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 1/116640], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/43200], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 1877/31850496], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 127/1036800], [[[1, 3], [2, 6], [3, 2], [6, 2], [16, 1]], 19/331776], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/72576], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/31104], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 355/1306368], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 23/62208], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 199/4478976], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 37/699840], [[[1, 3], [2, 6], [3, 2], [8, 1], [10, 2]], 7/460800], [[[1, 3], [2, 6], [3, 2], [8, 2], [10, 1]], 443/44236800], [[[1, 3], [2, 6], [3, 2], [10, 1], [16, 1]], 1/138240], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 7/419904], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 31/35389440], [[[1, 3], [2, 6], [3, 3], [4, 1], [10, 2]], 1/345600], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 37/1990656], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 121/23887872], [[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 157/159252480], [[[1, 3], [2, 6], [3, 3], [4, 3], [12, 1]], 23/17694720], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 161/254803968], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 2]], 5/1769472], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/172800], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/24192], [[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 1/31104], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 169/4478976], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/77760], [[[1, 3], [2, 6], [3, 3], [8, 1], [14, 1]], 1/580608], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 1/829440], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 3]], 23/2073600], [[[1, 3], [2, 6], [4, 1], [5, 2], [14, 1]], 11/537600], [[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 1/1152000], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 2]], 1/225792], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 1071/10485760], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 41/576000], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 43/225792], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 671/10616832], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 7/345600], [[[1, 3], [2, 6], [4, 1], [6, 3], [16, 1]], 101/2654208], [[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 31/3483648], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 41/3483648], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 1/46656], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/442368], [[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 1/497664], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 619/55050240], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 61/537600], [[[1, 3], [2, 6], [4, 1], [7, 1], [16, 1]], 31/20643840], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 10133/33030144], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/7168], [[[1, 3], [2, 6], [4, 1], [14, 1], [16, 1]], 233/1376256], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 23/2211840], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 8699/94371840], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 827/2457600], [[[1, 3], [2, 6], [4, 2], [5, 1], [16, 1]], 23/819200], [[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 29/2949120], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1007/98304000], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 773/12288000], [[[1, 3], [2, 6], [4, 2], [5, 2], [12, 1]], 31/110592000], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 3647/12582912], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 511/7372800], [[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 7/331776], [[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 811/7077888], [[[1, 3], [2, 6], [4, 2], [6, 3], [7, 1]], 43/2322432], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 83/1327104], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 107/1327104], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 2347/95551488], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 193/19906560], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 71/3981312], [[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 31/301056], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 4469/9830400], [[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 23/3538944], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 10037/62914560], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 116513/157286400], [[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 25549/283115520], [[[1, 3], [2, 6], [4, 2], [10, 1], [12, 2]], 7/276480], [[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 2267/11796480], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 1009/7372800], [[[1, 3], [2, 6], [4, 2], [12, 1], [16, 1]], 43/1179648], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 2023/79626240], [[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 71/6881280], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 737/20643840], [[[1, 3], [2, 6], [4, 3], [5, 2], [6, 1]], 31/3538944], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 4055/12582912], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 3337/44236800], [[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 733/15925248], [[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 7271/56623104], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 373/12386304], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 3593/37158912], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 89/884736], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 4723/63700992], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 29/1244160], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 2791/47775744], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 7459/99090432], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 19/294912], [[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 15/458752], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 44371/165150720], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1151/10321920], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 2257/12386304], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 7157/424673280], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 119069/3774873600], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 126017/2359296000], [[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 1597/58982400], [[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 461/24772608], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 24043/396361728], [[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 9707/169869312], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 10579/113246208], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 743/23592960], [[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 395/4718592], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 87587/452984832], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 28295/113246208], [[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 27379/176947200], [[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 8081/1132462080], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 108763/2264924160], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 4483/212336640], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 99167/2038431744], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 2]], 191/8847360], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 73/288000], [[[1, 3], [2, 6], [5, 1], [6, 2], [16, 1]], 1/92160], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 13/362880], [[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 1/17280], [[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 5/995328], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 61/3110400], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 17/76800], [[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 849/16384000], [[[1, 3], [2, 6], [5, 1], [10, 1], [16, 1]], 1/38400], [[[1, 3], [2, 6], [5, 2], [6, 1], [14, 1]], 1/57600], [[[1, 3], [2, 6], [5, 2], [6, 2], [8, 1]], 1/153600], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/19200], [[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 1/76800], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 2]], 1/114688], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 43/403200], [[[1, 3], [2, 6], [6, 1], [7, 1], [16, 1]], 1/129024], [[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 617/8257536], [[[1, 3], [2, 6], [6, 1], [8, 2], [18, 1]], 145/3538944], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 1/19200], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 3], [2, 6], [6, 1], [14, 1], [16, 1]], 1/14336], [[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 5/56448], [[[1, 3], [2, 6], [6, 2], [7, 1], [18, 1]], 1/10368], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 103/1382400], [[[1, 3], [2, 6], [6, 2], [8, 1], [16, 1]], 5/147456], [[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 89/1474560], [[[1, 3], [2, 6], [6, 2], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 1/24192], [[[1, 3], [2, 6], [6, 3], [7, 1], [8, 1]], 1/145152], [[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 1/36288], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 25/580608], [[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 17/248832], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/25920], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 41/4976640], [[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 1/37632], [[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 1/5880], [[[1, 3], [2, 6], [8, 1], [10, 1], [16, 1]], 7/122880], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 1123/35831808], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 42115/573308928], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 552677/31708938240], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 44621/884736000], [[[1, 3], [2, 8], [3, 1], [4, 2], [12, 2]], 31/79626240], [[[1, 3], [2, 8], [3, 1], [4, 2], [16, 1]], 377/141557760], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 59831/955514880], [[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 211/185794560], [[[1, 3], [2, 8], [3, 1], [4, 3], [9, 1]], 211/637009920], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 10307/495452160], [[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 5161/16986931200], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 170689/5096079360], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 52679/7927234560], [[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 18263/2123366400], [[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 2657/445906944], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 319757/47563407360], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1193/89579520], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 2]], 19/70778880], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 2263/138240000], [[[1, 3], [2, 8], [3, 1], [5, 1], [16, 1]], 1/44236800], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 11/13824000], [[[1, 3], [2, 8], [3, 1], [5, 2], [8, 1]], 1/73728000], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/13824000], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1679/70778880], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1157/5529600], [[[1, 3], [2, 8], [3, 1], [6, 2], [16, 1]], 247/8847360], [[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 7/552960], [[[1, 3], [2, 8], [3, 1], [6, 3], [9, 1]], 37/4976640], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 425/2322432], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 55/331776], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 839/23887872], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 67/829440], [[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 31/27095040], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 281/14745600], [[[1, 3], [2, 8], [3, 1], [8, 1], [16, 1]], 31/70778880], [[[1, 3], [2, 8], [3, 1], [8, 2], [10, 1]], 191/29491200], [[[1, 3], [2, 8], [3, 1], [9, 1], [14, 1]], 31/11612160], [[[1, 3], [2, 8], [3, 1], [10, 1], [16, 1]], 1/491520], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 3065/35831808], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 317/371589120], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 863/110592000], [[[1, 3], [2, 8], [3, 2], [4, 1], [16, 1]], 109/1321205760], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 19187/358318080], [[[1, 3], [2, 8], [3, 2], [4, 2], [14, 1]], 47/15482880], [[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 191/1592524800], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 34819/1911029760], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 103667/71345111040], [[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 10213/3185049600], [[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 421/297271296], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 17599/6688604160], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 11/2488320], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 2]], 13367/4459069440], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 2453/82944000], [[[1, 3], [2, 8], [3, 2], [6, 1], [16, 1]], 11/26542080], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 11/5806080], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 11/2488320], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 2063/17418240], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 107/4976640], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 3577/89579520], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 7631/44789760], [[[1, 3], [2, 8], [3, 2], [7, 1], [8, 1]], 1/92897280], [[[1, 3], [2, 8], [3, 2], [8, 1], [9, 1]], 1/39813120], [[[1, 3], [2, 8], [3, 2], [8, 1], [14, 1]], 89/46448640], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 47/4147200], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1307/107495424], [[[1, 3], [2, 8], [3, 3], [4, 1], [14, 1]], 29/69672960], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 193/79626240], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 31/318504960], [[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 1/5971968], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/387072], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 79/29859840], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 23/2488320], [[[1, 3], [2, 8], [3, 3], [8, 1], [10, 1]], 29/99532800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 29/2211840], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1453/367001600], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 3297/20480000], [[[1, 3], [2, 8], [4, 1], [5, 1], [16, 1]], 2717/3303014400], [[[1, 3], [2, 8], [4, 1], [5, 2], [6, 2]], 367/110592000], [[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 4901/16515072000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 749/184320000], [[[1, 3], [2, 8], [4, 1], [5, 2], [12, 1]], 1/110592000], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 2599/35389440], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 127/737280], [[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1331/28311552], [[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 25/1741824], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 127/1161216], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 257/1990656], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 4573/127401984], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 2033/59719680], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 115/11943936], [[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 131/6021120], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 119089/589824000], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 2099/283115520], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 109369/1415577600], [[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 29/18874368], [[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 5381/117964800], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 677/22118400], [[[1, 3], [2, 8], [4, 1], [12, 1], [16, 1]], 31/35389440], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 3329/132710400], [[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 31/103219200], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 3067/103219200], [[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 151/98304000], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1328389/7927234560], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1411/6553600], [[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 97/26542080], [[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 229/5242880], [[[1, 3], [2, 8], [4, 2], [6, 2], [7, 1]], 3103/123863040], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 31/163840], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 23/131072], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 44969/382205952], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 14989/159252480], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 10937/238878720], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 4301/770703360], [[[1, 3], [2, 8], [4, 2], [7, 1], [10, 1]], 131/5160960], [[[1, 3], [2, 8], [4, 2], [7, 1], [12, 1]], 1/967680], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 50611/198180864], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 10883/51609600], [[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 587/10321920], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 821/42467328], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 79939/4954521600], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 51781/1769472000], [[[1, 3], [2, 8], [4, 3], [5, 1], [12, 1]], 701/154828800], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 2633/165150720], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 6985/74317824], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 3863/70778880], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 106651/849346560], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1085/10616832], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 40883/637009920], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 225581/1321205760], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 2779447/63417876480], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 18751/265420800], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 189751/29727129600], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 57517/849346560], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 339253/5662310400], [[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 278123/5945425920], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 2]], 2389/619315200], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 2059/11520000], [[[1, 3], [2, 8], [5, 1], [6, 1], [16, 1]], 11/7372800], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 29/691200], [[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 37/1382400], [[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 41/4976640], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 209/3110400], [[[1, 3], [2, 8], [5, 1], [7, 1], [8, 1]], 1/51609600], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 1/6451200], [[[1, 3], [2, 8], [5, 1], [8, 1], [14, 1]], 341/51609600], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 2441/32256000], [[[1, 3], [2, 8], [5, 2], [6, 1], [8, 1]], 53/73728000], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 359/46080000], [[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 277/9031680], [[[1, 3], [2, 8], [6, 1], [7, 1], [18, 1]], 31/11612160], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 679/8847360], [[[1, 3], [2, 8], [6, 1], [8, 1], [16, 1]], 139/23592960], [[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 217/7864320], [[[1, 3], [2, 8], [6, 1], [10, 1], [16, 1]], 41/983040], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 11/258048], [[[1, 3], [2, 8], [6, 2], [7, 1], [8, 1]], 43/15482880], [[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 49/1382400], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 415/6193152], [[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 361/7962624], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 569/3870720], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 7/61440], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 289/6635520], [[[1, 3], [2, 8], [7, 1], [8, 1], [10, 1]], 19/7372800], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 677/10321920], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 2]], 17/4954521600], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 121709/2866544640], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 233/371589120], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 617/98304000], [[[1, 3], [2, 10], [3, 1], [4, 1], [16, 1]], 3193/47563407360], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 81643/2293235712], [[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 89/2642411520], [[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 779/71345111040], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 161783/41617981440], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1123/11147673600], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 116381/8918138880], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 412823/285380444160], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1360463/475634073600], [[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 23393/40768634880], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 5289967/2283043553280], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 16511/6270566400], [[[1, 3], [2, 10], [3, 1], [5, 1], [14, 1]], 17/58060800], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 29/6193152000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 449/445906944], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 7087/221184000], [[[1, 3], [2, 10], [3, 1], [6, 1], [16, 1]], 383/660602880], [[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 817/743178240], [[[1, 3], [2, 10], [3, 1], [6, 2], [9, 1]], 89/148635648], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 1597/30965760], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 451/39813120], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 148643/13377208320], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 20611/298598400], [[[1, 3], [2, 10], [3, 1], [7, 1], [8, 1]], 143/20808990720], [[[1, 3], [2, 10], [3, 1], [7, 1], [10, 1]], 1207/13005619200], [[[1, 3], [2, 10], [3, 1], [8, 1], [9, 1]], 31/8918138880], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 157/123863040], [[[1, 3], [2, 10], [3, 1], [9, 1], [10, 1]], 1207/5573836800], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 47/9676800], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 179941/10032906240], [[[1, 3], [2, 10], [3, 2], [4, 1], [7, 1]], 149/62426972160], [[[1, 3], [2, 10], [3, 2], [4, 1], [9, 1]], 31/13377208320], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 8941/20808990720], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 147839/30576476160], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 13859/142690222080], [[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 4943/19818086400], [[[1, 3], [2, 10], [3, 2], [4, 2], [12, 1]], 2291/57330892800], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 7447/15288238080], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 137/348364800], [[[1, 3], [2, 10], [3, 2], [5, 1], [8, 1]], 311/89181388800], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 29/3715891200], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 29/2601123840], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 29/1114767360], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 7153/3121348608], [[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 109/743178240], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 73139/26754416640], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 75797/4180377600], [[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 3277/29727129600], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 703/2006581248], [[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 1037/44590694400], [[[1, 3], [2, 10], [3, 3], [4, 1], [12, 1]], 29/26754416640], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 311/7134511104], [[[1, 3], [2, 10], [3, 3], [6, 1], [8, 1]], 989/53508833280], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 23/99532800], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 2911/530841600], [[[1, 3], [2, 10], [4, 1], [5, 1], [7, 1]], 199/17340825600], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 2897/1156055040], [[[1, 3], [2, 10], [4, 1], [5, 2], [6, 1]], 3127/24772608000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 8797/1132462080], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 8143/98304000], [[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 186083/47563407360], [[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 17891/5202247680], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 53051/743178240], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 131/3538944], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 45083/1486356480], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 1169/18662400], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 4609/955514880], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 66203/416179814400], [[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 2809/1445068800], [[[1, 3], [2, 10], [4, 1], [7, 1], [12, 1]], 1/92897280], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 506557/27745320960], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 6799/123863040], [[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 59/26542080], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 15961/2831155200], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 298427/317089382400], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 39751/7927234560], [[[1, 3], [2, 10], [4, 2], [5, 1], [12, 1]], 29509/222953472000], [[[1, 3], [2, 10], [4, 2], [6, 1], [7, 1]], 12541/5945425920], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 579623/11098128384], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 333439/23781703680], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 1872317/35672555520], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 1235623/14863564800], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 7337/637009920], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 12472547/317089382400], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 439907/285380444160], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 105857/14863564800], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 204371/95126814720], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 7338689/285380444160], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 365629/9909043200], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 2465191/285380444160], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 18293/4335206400], [[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 109/206438400], [[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 10847/7431782400], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 78467/4644864000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 2351/2477260800], [[[1, 3], [2, 10], [6, 1], [7, 1], [8, 1]], 53/433520640], [[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 499/135475200], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 2483/247726080], [[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 511/318504960], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 8807/154828800], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 827/66355200], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 18797/1061683200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 1966793/321052999680], [[[1, 3], [2, 12], [3, 1], [4, 1], [7, 1]], 19/17836277760], [[[1, 3], [2, 12], [3, 1], [4, 1], [9, 1]], 1/943718400], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 4999/27745320960], [[[1, 3], [2, 12], [3, 1], [4, 2], [5, 1]], 24967/7134511104000], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 30206971/12842119987200], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 132133/1902536294400], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 19441/74317824000], [[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 21113/1070176665600], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 723337/2140353331200], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 103939/1003290624000], [[[1, 3], [2, 12], [3, 1], [5, 1], [8, 1]], 1409/1783627776000], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 22543/1114767360000], [[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 509/62426972160], [[[1, 3], [2, 12], [3, 1], [6, 1], [9, 1]], 49/6370099200], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 30397/20808990720], [[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 779/26754416640], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 97123/178362777600], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 420551/66886041600], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 10667/118908518400], [[[1, 3], [2, 12], [3, 2], [4, 1], [5, 1]], 277/891813888000], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 261211/535088332800], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 81169/17122826649600], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 113/5971968000], [[[1, 3], [2, 12], [3, 2], [4, 1], [12, 1]], 289/802632499200], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 139943/2568423997440], [[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 379/167215104000], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 23693/802632499200], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 275939/2006581248000], [[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 797/687970713600], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 2369/5945425920], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 115687/4756340736000], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 51619/212336640000], [[[1, 3], [2, 12], [4, 1], [5, 1], [12, 1]], 323/445906944000], [[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 16243/178362777600], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 742913/124853944320], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 81793/107017666560], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 3408749/951268147200], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 482029/35672555520], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 239/594542592], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 1888291/1189085184000], [[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 117787/11415217766400], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 14927/89181388800], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 10519/49545216000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 50631227/17122826649600], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 2174929/285380444160], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 339791/713451110400], [[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 68623/1783627776000], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 631483/1114767360000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 69971/71345111040], [[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 493/4280706662400], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 526159/3210529996800], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 53539/34245653299200], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 237077/28538044416000], [[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 3229/17122826649600], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 1370041/51368479948800], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 14071/16052649984000], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 208889/34245653299200], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 76801/891813888000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 57259/25684239974400], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 20441/3170893824000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 908239/11415217766400], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 91793/191102976000], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 124237/17122826649600], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 3523693/3595793596416000], [[[1, 3], [3, 1], [4, 1], [7, 1], [8, 3]], 1/86016], [[[1, 3], [3, 1], [4, 1], [8, 3], [9, 1]], 1/36864], [[[1, 3], [3, 1], [4, 4], [5, 1], [8, 2]], 1/1474560], [[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/196608], [[[1, 3], [3, 1], [4, 4], [8, 2], [12, 1]], 1/98304], [[[1, 3], [3, 1], [4, 5], [7, 1], [8, 1]], 1/4128768], [[[1, 3], [3, 1], [4, 5], [8, 1], [9, 1]], 1/1769472], [[[1, 3], [3, 2], [4, 1], [8, 2], [16, 1]], 1/147456], [[[1, 3], [3, 2], [4, 1], [8, 3], [12, 1]], 1/221184], [[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/82944], [[[1, 3], [3, 2], [4, 3], [12, 1], [16, 1]], 1/55296], [[[1, 3], [3, 2], [4, 5], [8, 1], [12, 1]], 17/10616832], [[[1, 3], [4, 1], [5, 1], [8, 2], [16, 1]], 1/40960], [[[1, 3], [4, 1], [5, 1], [8, 3], [12, 1]], 1/61440], [[[1, 3], [4, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 3], [4, 2], [7, 1], [8, 2], [12, 1]], 1/21504], [[[1, 3], [4, 3], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 3], [4, 3], [5, 1], [12, 1], [16, 1]], 1/15360], [[[1, 3], [4, 3], [5, 2], [8, 1], [12, 1]], 1/76800], [[[1, 3], [4, 5], [5, 1], [8, 1], [12, 1]], 17/2949120], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 4]], 3/524288], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 383/14155776], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 2]], 1/14745600], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 13/3145728], [[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 1/147456], [[[1, 4], [2, 1], [3, 1], [4, 5], [16, 1]], 61/28311552], [[[1, 4], [2, 1], [3, 1], [4, 6], [7, 1]], 1/11010048], [[[1, 4], [2, 1], [3, 1], [4, 6], [9, 1]], 1/4718592], [[[1, 4], [2, 1], [3, 1], [4, 7], [5, 1]], 1/35389440], [[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 17/169869312], [[[1, 4], [2, 1], [3, 1], [4, 7], [10, 1]], 1/94371840], [[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 1/6291456], [[[1, 4], [2, 1], [3, 1], [4, 8], [6, 1]], 7/905969664], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 4]], 1/393216], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 3]], 1/86016], [[[1, 4], [2, 1], [3, 1], [8, 3], [9, 1]], 1/36864], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/98304], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 2]], 1/22118400], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 47/7077888], [[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 4], [16, 1]], 53/7077888], [[[1, 4], [2, 1], [3, 2], [4, 5], [7, 1]], 1/4128768], [[[1, 4], [2, 1], [3, 2], [4, 5], [9, 1]], 1/2654208], [[[1, 4], [2, 1], [3, 2], [4, 5], [14, 1]], 1/12386304], [[[1, 4], [2, 1], [3, 2], [4, 6], [5, 1]], 1/35389440], [[[1, 4], [2, 1], [3, 2], [4, 6], [8, 1]], 13/21233664], [[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 1/1769472], [[[1, 4], [2, 1], [3, 2], [4, 7], [6, 1]], 1/127401984], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 3]], 1/368640], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 2]], 1/460800], [[[1, 4], [2, 1], [3, 2], [8, 2], [16, 1]], 1/147456], [[[1, 4], [2, 1], [3, 2], [8, 3], [10, 1]], 1/368640], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 3]], 1/663552], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 1/884736], [[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 1/124416], [[[1, 4], [2, 1], [3, 3], [4, 3], [16, 1]], 1/442368], [[[1, 4], [2, 1], [3, 3], [4, 4], [7, 1]], 1/9289728], [[[1, 4], [2, 1], [3, 3], [4, 4], [9, 1]], 1/3981312], [[[1, 4], [2, 1], [3, 3], [4, 5], [8, 1]], 7/31850496], [[[1, 4], [2, 1], [3, 3], [4, 5], [10, 1]], 1/26542080], [[[1, 4], [2, 1], [3, 3], [4, 5], [12, 1]], 17/15925248], [[[1, 4], [2, 1], [3, 3], [4, 6], [6, 1]], 1/21233664], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 3]], 1/663552], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 2]], 1/193536], [[[1, 4], [2, 1], [3, 3], [8, 2], [9, 1]], 1/82944], [[[1, 4], [2, 1], [3, 4], [4, 2], [8, 2]], 1/5308416], [[[1, 4], [2, 1], [3, 4], [4, 4], [12, 1]], 1/1990656], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 4]], 11/4718592], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 3]], 1/43008], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 29/1310720], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 83/1638400], [[[1, 4], [2, 1], [4, 2], [5, 2], [16, 1]], 1/25600], [[[1, 4], [2, 1], [4, 2], [5, 3], [8, 1]], 1/128000], [[[1, 4], [2, 1], [4, 2], [5, 3], [12, 1]], 1/48000], [[[1, 4], [2, 1], [4, 2], [7, 2], [8, 1]], 1/25088], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 15/524288], [[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 23/3932160], [[[1, 4], [2, 1], [4, 2], [8, 3], [12, 1]], 25/1179648], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 79/2752512], [[[1, 4], [2, 1], [4, 3], [7, 1], [16, 1]], 3/114688], [[[1, 4], [2, 1], [4, 3], [8, 2], [14, 1]], 5/917504], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 61/2949120], [[[1, 4], [2, 1], [4, 4], [5, 1], [12, 2]], 1/30720], [[[1, 4], [2, 1], [4, 4], [5, 1], [16, 1]], 7/393216], [[[1, 4], [2, 1], [4, 4], [5, 2], [8, 1]], 21/3276800], [[[1, 4], [2, 1], [4, 4], [5, 2], [10, 1]], 1/614400], [[[1, 4], [2, 1], [4, 4], [5, 2], [12, 1]], 7/614400], [[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 31/884736], [[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 139/6291456], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 71/1048576], [[[1, 4], [2, 1], [4, 4], [10, 1], [16, 1]], 1/327680], [[[1, 4], [2, 1], [4, 4], [12, 1], [16, 1]], 5/147456], [[[1, 4], [2, 1], [4, 5], [5, 1], [7, 1]], 1/3440640], [[[1, 4], [2, 1], [4, 5], [5, 1], [14, 1]], 1/3440640], [[[1, 4], [2, 1], [4, 5], [5, 2], [6, 1]], 1/4915200], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 11/28311552], [[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/147456], [[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 17/16515072], [[[1, 4], [2, 1], [4, 5], [7, 1], [12, 1]], 1/344064], [[[1, 4], [2, 1], [4, 5], [12, 1], [14, 1]], 1/344064], [[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 311/188743680], [[[1, 4], [2, 1], [4, 6], [5, 1], [10, 1]], 1/7864320], [[[1, 4], [2, 1], [4, 6], [5, 1], [12, 1]], 1/491520], [[[1, 4], [2, 1], [4, 6], [8, 1], [10, 1]], 23/188743680], [[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 343/56623104], [[[1, 4], [2, 1], [4, 7], [5, 1], [6, 1]], 11/283115520], [[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/6291456], [[[1, 4], [2, 1], [5, 1], [8, 2], [16, 1]], 1/40960], [[[1, 4], [2, 1], [5, 1], [8, 3], [10, 1]], 1/102400], [[[1, 4], [2, 1], [5, 2], [8, 2], [10, 1]], 1/12800], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/153600], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 5/150528], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 277/1572864], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 143/29491200], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 13733/113246208], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 2]], 277/88473600], [[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 119/1327104], [[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 611/9437184], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 3]], 7/21233664], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 209/24772608], [[[1, 4], [2, 3], [3, 1], [4, 5], [9, 1]], 151/21233664], [[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 9/1835008], [[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 401/283115520], [[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 1081/509607936], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 721/75497472], [[[1, 4], [2, 3], [3, 1], [4, 6], [10, 1]], 19/11796480], [[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 1199/84934656], [[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 25/18874368], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 3]], 11/294912], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 2]], 1/24576], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 11/60000], [[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/216000], [[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 1/60000], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/42336], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 3]], 23/884736], [[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/11760], [[[1, 4], [2, 3], [3, 1], [8, 2], [10, 2]], 7/1843200], [[[1, 4], [2, 3], [3, 1], [8, 2], [16, 1]], 7/196608], [[[1, 4], [2, 3], [3, 1], [8, 3], [10, 1]], 11/491520], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 107/2359296], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 3]], 1/288000], [[[1, 4], [2, 3], [3, 2], [4, 1], [14, 2]], 1/56448], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 419/4718592], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 2]], 61/5529600], [[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 23/497664], [[[1, 4], [2, 3], [3, 2], [4, 3], [16, 1]], 373/7077888], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 3]], 23/7962624], [[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 127/12386304], [[[1, 4], [2, 3], [3, 2], [4, 4], [9, 1]], 7/589824], [[[1, 4], [2, 3], [3, 2], [4, 4], [14, 1]], 1/193536], [[[1, 4], [2, 3], [3, 2], [4, 5], [5, 1]], 19/21233664], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 161/21233664], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 155/12582912], [[[1, 4], [2, 3], [3, 2], [4, 5], [10, 1]], 37/8847360], [[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 695/31850496], [[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 1429/509607936], [[[1, 4], [2, 3], [3, 2], [5, 2], [14, 1]], 1/100800], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 3]], 35/884736], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 2]], 1/55296], [[[1, 4], [2, 3], [3, 2], [7, 1], [8, 2]], 1/43008], [[[1, 4], [2, 3], [3, 2], [7, 1], [10, 2]], 1/100800], [[[1, 4], [2, 3], [3, 2], [8, 2], [9, 1]], 5/110592], [[[1, 4], [2, 3], [3, 2], [8, 2], [14, 1]], 1/86016], [[[1, 4], [2, 3], [3, 2], [14, 1], [16, 1]], 1/32256], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 145/10616832], [[[1, 4], [2, 3], [3, 3], [4, 2], [10, 2]], 1/276480], [[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 1/124416], [[[1, 4], [2, 3], [3, 3], [4, 2], [16, 1]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 19/2985984], [[[1, 4], [2, 3], [3, 3], [4, 3], [14, 1]], 1/580608], [[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 7/6635520], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 215/35831808], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 607/127401984], [[[1, 4], [2, 3], [3, 3], [4, 4], [10, 1]], 61/19906560], [[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 13/995328], [[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 185/63700992], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 2]], 1/184320], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 1/216000], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 29/746496], [[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 1/42336], [[[1, 4], [2, 3], [3, 3], [8, 1], [10, 2]], 1/345600], [[[1, 4], [2, 3], [3, 3], [8, 1], [16, 1]], 1/110592], [[[1, 4], [2, 3], [3, 3], [8, 2], [10, 1]], 1/165888], [[[1, 4], [2, 3], [3, 3], [9, 1], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 4], [4, 1], [16, 1]], 1/663552], [[[1, 4], [2, 3], [3, 4], [4, 2], [14, 1]], 1/1161216], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 1/497664], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 23/31850496], [[[1, 4], [2, 3], [3, 4], [4, 4], [6, 1]], 13/31850496], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 2]], 5/1990656], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 191/983040], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 1/80000], [[[1, 4], [2, 3], [4, 1], [5, 1], [14, 2]], 1/15680], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 473/2457600], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 3/20000], [[[1, 4], [2, 3], [4, 1], [5, 2], [16, 1]], 3/51200], [[[1, 4], [2, 3], [4, 1], [5, 3], [6, 2]], 1/288000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/32000], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 11/80000], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 2]], 1/56448], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 3]], 259/14155776], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 3/50176], [[[1, 4], [2, 3], [4, 1], [7, 2], [10, 1]], 1/15680], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 71/2457600], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 1369/6291456], [[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 159/1310720], [[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 91/3145728], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 9/358400], [[[1, 4], [2, 3], [4, 2], [5, 2], [14, 1]], 3/71680], [[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 7/384000], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/37632], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 607/4718592], [[[1, 4], [2, 3], [4, 2], [6, 3], [16, 1]], 1/331776], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1105/2752512], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 2]], 3/358400], [[[1, 4], [2, 3], [4, 2], [7, 1], [16, 1]], 59/344064], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 139/688128], [[[1, 4], [2, 3], [4, 2], [14, 1], [16, 1]], 17/344064], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 817/2621440], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 131/3072000], [[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 1/17280], [[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 19/131072], [[[1, 4], [2, 3], [4, 3], [5, 2], [6, 2]], 61/5529600], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 149/1966080], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 277/3072000], [[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 41/614400], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 9/524288], [[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 11/497664], [[[1, 4], [2, 3], [4, 3], [6, 2], [16, 1]], 155/14155776], [[[1, 4], [2, 3], [4, 3], [6, 3], [7, 1]], 1/580608], [[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 1/50176], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 323/19660800], [[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 139/1179648], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 1115/2359296], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1159/7864320], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 8497/14155776], [[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 1/69120], [[[1, 4], [2, 3], [4, 3], [10, 1], [16, 1]], 93/1310720], [[[1, 4], [2, 3], [4, 3], [10, 2], [12, 1]], 11/614400], [[[1, 4], [2, 3], [4, 3], [12, 1], [16, 1]], 469/2359296], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 5/344064], [[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 29/1720320], [[[1, 4], [2, 3], [4, 4], [5, 2], [6, 1]], 353/29491200], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 6289/75497472], [[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 53/663552], [[[1, 4], [2, 3], [4, 4], [6, 1], [16, 1]], 413/9437184], [[[1, 4], [2, 3], [4, 4], [6, 2], [7, 1]], 59/37158912], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 79/127401984], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 1381/16515072], [[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 89/10321920], [[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 11/129024], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 1081/16515072], [[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 3/573440], [[[1, 4], [2, 3], [4, 4], [12, 1], [14, 1]], 37/516096], [[[1, 4], [2, 3], [4, 5], [5, 1], [6, 2]], 7/1966080], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 77/2359296], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1043/58982400], [[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 143/3538944], [[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 25/5505024], [[[1, 4], [2, 3], [4, 5], [6, 1], [14, 1]], 125/24772608], [[[1, 4], [2, 3], [4, 5], [6, 1], [18, 1]], 49/21233664], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1871/679477248], [[[1, 4], [2, 3], [4, 5], [6, 2], [10, 1]], 47/106168320], [[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 193/15925248], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 851/62914560], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 2801/16777216], [[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 331/17694720], [[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 23/8847360], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 1661/226492416], [[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 83/283115520], [[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 551/42467328], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 3]], 13/491520], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 3/71680], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 11/28000], [[[1, 4], [2, 3], [5, 1], [8, 2], [14, 1]], 3/71680], [[[1, 4], [2, 3], [5, 1], [14, 1], [16, 1]], 1/8960], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 2]], 19/614400], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/100800], [[[1, 4], [2, 3], [5, 2], [6, 3], [8, 1]], 1/345600], [[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 1/28000], [[[1, 4], [2, 3], [5, 2], [8, 1], [14, 1]], 3/44800], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/2800], [[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 1/60000], [[[1, 4], [2, 3], [6, 1], [8, 2], [16, 1]], 5/196608], [[[1, 4], [2, 3], [6, 1], [8, 3], [10, 1]], 5/294912], [[[1, 4], [2, 3], [6, 2], [7, 1], [8, 2]], 1/96768], [[[1, 4], [2, 3], [6, 2], [7, 1], [16, 1]], 1/32256], [[[1, 4], [2, 3], [7, 1], [8, 1], [10, 2]], 3/44800], [[[1, 4], [2, 3], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 4], [2, 3], [7, 1], [8, 2], [10, 1]], 1/15360], [[[1, 4], [2, 3], [7, 1], [10, 1], [16, 1]], 1/8960], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 7471/56623104], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/25600], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/18816], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/1327104], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 239/29491200], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 451/47775744], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 229919/566231040], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1333/14745600], [[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 385/5308416], [[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 6209/56623104], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 45241/1146617856], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1525/44040192], [[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 3077/169869312], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 6131/148635648], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 1297/157286400], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 2279/56623104], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 95257/1358954496], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 2317/75497472], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 267847/3397386240], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 79511/4076863488], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 19/777600], [[[1, 4], [2, 5], [3, 1], [5, 2], [14, 1]], 11/403200], [[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/864000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/169344], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 1769/28311552], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/34560], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/10584], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 1417/23887872], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/57600], [[[1, 4], [2, 5], [3, 1], [6, 3], [16, 1]], 5/82944], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/41472], [[[1, 4], [2, 5], [3, 1], [6, 4], [9, 1]], 1/124416], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/72576], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/31104], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 1/995328], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 2]], 17/1179648], [[[1, 4], [2, 5], [3, 1], [7, 1], [10, 2]], 11/134400], [[[1, 4], [2, 5], [3, 1], [8, 2], [9, 1]], 31/3538944], [[[1, 4], [2, 5], [3, 1], [8, 2], [14, 1]], 185/3096576], [[[1, 4], [2, 5], [3, 1], [9, 1], [10, 2]], 1/9600], [[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/57600], [[[1, 4], [2, 5], [3, 1], [14, 1], [16, 1]], 1/14336], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/2239488], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 191/44236800], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 889/23887872], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 14773/113246208], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 91/1474560], [[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 7/995328], [[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 2477/70778880], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 7411/71663616], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 31/3538944], [[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 31/5308416], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 2561/74317824], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 3269/424673280], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 8345/84934656], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 51481/1132462080], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 6673/212336640], [[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 6209/127401984], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 1057/37748736], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/103680], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 11/983040], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 49/432000], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 7/345600], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/108000], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 805/5308416], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 41/345600], [[[1, 4], [2, 5], [3, 2], [6, 2], [16, 1]], 23/110592], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 43/326592], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 5/46656], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/5376], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 23/62208], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 211/4478976], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/77760], [[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 5/169344], [[[1, 4], [2, 5], [3, 2], [8, 1], [10, 2]], 1/30720], [[[1, 4], [2, 5], [3, 2], [8, 1], [16, 1]], 5/442368], [[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 25/884736], [[[1, 4], [2, 5], [3, 2], [9, 1], [14, 1]], 1/24192], [[[1, 4], [2, 5], [3, 2], [10, 1], [16, 1]], 1/34560], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 37/1679616], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 1393/106168320], [[[1, 4], [2, 5], [3, 3], [4, 1], [10, 2]], 1/86400], [[[1, 4], [2, 5], [3, 3], [4, 1], [16, 1]], 23/5308416], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1829/17915904], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 55/18579456], [[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 23/7962624], [[[1, 4], [2, 5], [3, 3], [4, 2], [14, 1]], 19/1161216], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 431/7962624], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 997/127401984], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 889/159252480], [[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 1427/159252480], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 20333/2293235712], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 7/174960], [[[1, 4], [2, 5], [3, 3], [5, 1], [14, 1]], 1/181440], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 1175/47775744], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 19/777600], [[[1, 4], [2, 5], [3, 3], [6, 1], [16, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 19/435456], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 19/186624], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 13/81648], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 5/46656], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 391/4478976], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 37/699840], [[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/181440], [[[1, 4], [2, 5], [3, 3], [8, 1], [14, 1]], 1/82944], [[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/77760], [[[1, 4], [2, 5], [3, 3], [10, 1], [14, 1]], 1/90720], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/186624], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 139/23887872], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 23/19906560], [[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 13/7962624], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 5/3981312], [[[1, 4], [2, 5], [3, 4], [6, 1], [14, 1]], 1/290304], [[[1, 4], [2, 5], [3, 4], [6, 1], [18, 1]], 1/373248], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 1/82944], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 1/933120], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 1/2488320], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 3]], 41/2073600], [[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 53/537600], [[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 7/1152000], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 1/32256], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 10141/56623104], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 11/576000], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 13/225792], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 515/10616832], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 1/172800], [[[1, 4], [2, 5], [4, 1], [6, 3], [16, 1]], 107/5308416], [[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 25/3483648], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 11/3483648], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1/186624], [[[1, 4], [2, 5], [4, 1], [6, 5], [12, 1]], 1/1492992], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 7429/55050240], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 13/76800], [[[1, 4], [2, 5], [4, 1], [7, 1], [16, 1]], 71/1376256], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 11579/33030144], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/25600], [[[1, 4], [2, 5], [4, 1], [14, 1], [16, 1]], 233/1376256], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 89/19906560], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 15089/31457280], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 3073/6144000], [[[1, 4], [2, 5], [4, 2], [5, 1], [12, 2]], 1/276480], [[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 1231/9830400], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 407/7372800], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 10267/98304000], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 851/3072000], [[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 131/7372800], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 35443/113246208], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 899/44236800], [[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 25/995328], [[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 755/7077888], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 5/193536], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 283/18579456], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 155/7962624], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 637/95551488], [[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 19/2654208], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 15/100352], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 3413/9830400], [[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 89/3538944], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 36929/75497472], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 29711/31457280], [[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 10247/37748736], [[[1, 4], [2, 5], [4, 2], [10, 1], [12, 2]], 7/276480], [[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 2921/11796480], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 629/7372800], [[[1, 4], [2, 5], [4, 2], [12, 1], [16, 1]], 133/1179648], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 2143/79626240], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 97/2293760], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 2021/20643840], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 671/17694720], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 7175/12582912], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 2101/44236800], [[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 1459/15925248], [[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 10739/56623104], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 83/1769472], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 2561/37158912], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 175/2654208], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 6481/127401984], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 127/9953280], [[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 2119/47775744], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 9997/33030144], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1313/10321920], [[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 593/4128768], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 14317/33030144], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1031/10321920], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 2911/12386304], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1777/42467328], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 487339/3774873600], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 73903/471859200], [[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1171/11796480], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 875/21233664], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 9953/132120576], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 9707/169869312], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1399/12582912], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 8753/424673280], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 13391/127401984], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 113261/452984832], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 328789/566231040], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 2221/11796480], [[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 25223/1132462080], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 125797/1358954496], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 1123/53084160], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 192689/2038431744], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 11/294912], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 43/432000], [[[1, 4], [2, 5], [5, 1], [6, 2], [16, 1]], 1/30720], [[[1, 4], [2, 5], [5, 1], [6, 3], [7, 1]], 1/90720], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 1/45360], [[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 1/19440], [[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 19/4976640], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 1/23520], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 107/384000], [[[1, 4], [2, 5], [5, 1], [8, 1], [16, 1]], 1/61440], [[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 447/3276800], [[[1, 4], [2, 5], [5, 1], [10, 1], [16, 1]], 1/9600], [[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 1/403200], [[[1, 4], [2, 5], [5, 2], [6, 1], [14, 1]], 3/44800], [[[1, 4], [2, 5], [5, 2], [6, 1], [18, 1]], 1/28800], [[[1, 4], [2, 5], [5, 2], [6, 2], [8, 1]], 11/460800], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/7200], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 43/384000], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 2]], 107/3096576], [[[1, 4], [2, 5], [6, 1], [7, 1], [10, 2]], 41/403200], [[[1, 4], [2, 5], [6, 1], [7, 1], [16, 1]], 1/18432], [[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 521/8257536], [[[1, 4], [2, 5], [6, 1], [8, 2], [18, 1]], 145/3538944], [[[1, 4], [2, 5], [6, 1], [14, 1], [16, 1]], 1/43008], [[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 17/169344], [[[1, 4], [2, 5], [6, 2], [7, 1], [18, 1]], 1/8064], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 31/1382400], [[[1, 4], [2, 5], [6, 2], [8, 1], [16, 1]], 17/442368], [[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 47/983040], [[[1, 4], [2, 5], [6, 2], [10, 1], [16, 1]], 1/46080], [[[1, 4], [2, 5], [6, 3], [7, 1], [8, 1]], 5/290304], [[[1, 4], [2, 5], [6, 3], [7, 1], [10, 1]], 1/45360], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/82944], [[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 5/248832], [[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 11/4976640], [[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 1/9408], [[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 1/5880], [[[1, 4], [2, 5], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 907/35831808], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 3631/884736000], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 31727/286654464], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 168331/1132462080], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 27289/176947200], [[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 19/5308416], [[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 671/23592960], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 18043/95551488], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 5081/371589120], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 3409/637009920], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 46061/495452160], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 180017/16986931200], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 105595/764411904], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 949213/11890851840], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 94481/1415577600], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 131761/2548039680], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 318457/6794772480], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 121/2985984], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 1403/353894400], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 977/9216000], [[[1, 4], [2, 7], [3, 1], [5, 1], [16, 1]], 31/44236800], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 961/82944000], [[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 31/73728000], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 119/17280000], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 51679/637009920], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1847/8294400], [[[1, 4], [2, 7], [3, 1], [6, 2], [16, 1]], 55/589824], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 43/580608], [[[1, 4], [2, 7], [3, 1], [6, 3], [9, 1]], 11/497664], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 2015/10450944], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 323/1492992], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1261/23887872], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1307/22394880], [[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 1/11612160], [[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 31/1806336], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 151/2949120], [[[1, 4], [2, 7], [3, 1], [8, 1], [16, 1]], 7/1572864], [[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 841/29491200], [[[1, 4], [2, 7], [3, 1], [9, 1], [14, 1]], 5/258048], [[[1, 4], [2, 7], [3, 1], [10, 1], [16, 1]], 31/1474560], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 7625/35831808], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 25439/1486356480], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 5363/110592000], [[[1, 4], [2, 7], [3, 2], [4, 1], [16, 1]], 571/141557760], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 4981/15925248], [[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 31/8847360], [[[1, 4], [2, 7], [3, 2], [4, 2], [9, 1]], 443/159252480], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 23/655360], [[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 269/159252480], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 326671/1911029760], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 1771/79626240], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 84193/3185049600], [[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 23861/1486356480], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 54461/1698693120], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 563/7464960], [[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/58060800], [[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 1/24883200], [[[1, 4], [2, 7], [3, 2], [5, 1], [14, 1]], 11/1935360], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 17/27648000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 5659/212336640], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 11/92160], [[[1, 4], [2, 7], [3, 2], [6, 1], [16, 1]], 107/8847360], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 713/17418240], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 247/4976640], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 433/1161216], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 29/248832], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 1405/8957952], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 259/829440], [[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 31/92897280], [[[1, 4], [2, 7], [3, 2], [7, 1], [10, 1]], 19/4838400], [[[1, 4], [2, 7], [3, 2], [8, 1], [9, 1]], 31/39813120], [[[1, 4], [2, 7], [3, 2], [8, 1], [14, 1]], 869/46448640], [[[1, 4], [2, 7], [3, 2], [9, 1], [10, 1]], 1/276480], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 13/322560], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 15515/107495424], [[[1, 4], [2, 7], [3, 3], [4, 1], [14, 1]], 47/9953280], [[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 103/265420800], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 1097/19906560], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 2057/637009920], [[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 47/8847360], [[[1, 4], [2, 7], [3, 3], [4, 2], [12, 1]], 271/143327232], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 2921/318504960], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 137/14929920], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 23/20736000], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 11/34836480], [[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 11/14929920], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 643/20901888], [[[1, 4], [2, 7], [3, 3], [6, 1], [18, 1]], 7/2985984], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 301/7464960], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 611/7464960], [[[1, 4], [2, 7], [3, 3], [8, 1], [10, 1]], 329/99532800], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 23/5971968], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 277/1911029760], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 65/191102976], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/1327104], [[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 23/29859840], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 433/19906560], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 137117/3303014400], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 87823/184320000], [[[1, 4], [2, 7], [4, 1], [5, 1], [16, 1]], 5227/353894400], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 2947/110592000], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 4717/589824000], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 12019/184320000], [[[1, 4], [2, 7], [4, 1], [5, 2], [12, 1]], 31/110592000], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 4169/23592960], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 19/147456], [[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 4987/56623104], [[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 155/3483648], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 95/1161216], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 217/1990656], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 13327/382205952], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 1037/59719680], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 41/3981312], [[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 701/6021120], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 8017/26214400], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 15083/283115520], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 327313/1415577600], [[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 793/94371840], [[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 391/3145728], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 923/22118400], [[[1, 4], [2, 7], [4, 1], [12, 1], [16, 1]], 5/786432], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 307/4423680], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 37/2867200], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 2201/17203200], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 7109/294912000], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1218977/2264924160], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 44339/176947200], [[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 253/15925248], [[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 667/4423680], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 307/4128768], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 6185/24772608], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 7535/31850496], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 33037/191102976], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 2339/26542080], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 1691/23887872], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 202603/2312110080], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 12847/103219200], [[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 1609/92897280], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 128887/198180864], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 717/2293760], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 311/2064384], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 89609/1061683200], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 1028789/8493465600], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 337043/1769472000], [[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 23209/619315200], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 38053/495452160], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 1561/6635520], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 33263/212336640], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 27845/84934656], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 3271/21233664], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 103511/637009920], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 1628371/2831155200], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 622219/2717908992], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 13489/66355200], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 86837/2123366400], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 811147/3397386240], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 412069/3397386240], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 369103/2548039680], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 23/1179648], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 4133/13824000], [[[1, 4], [2, 7], [5, 1], [6, 1], [16, 1]], 37/2457600], [[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 11/1935360], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 11/120960], [[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 97/1244160], [[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 29/1244160], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1121/12441600], [[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 31/51609600], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 431/32256000], [[[1, 4], [2, 7], [5, 1], [8, 1], [14, 1]], 1811/51609600], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 251/1290240], [[[1, 4], [2, 7], [5, 2], [6, 1], [8, 1]], 583/73728000], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 659/9216000], [[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 541/5419008], [[[1, 4], [2, 7], [6, 1], [7, 1], [18, 1]], 5/258048], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 4229/44236800], [[[1, 4], [2, 7], [6, 1], [8, 1], [16, 1]], 361/14155776], [[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 289/4718592], [[[1, 4], [2, 7], [6, 1], [10, 1], [16, 1]], 21/327680], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 11/258048], [[[1, 4], [2, 7], [6, 2], [7, 1], [8, 1]], 49/2211840], [[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 17/193536], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 19/229376], [[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 511/7962624], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 65/774144], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 119/1658880], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 11/245760], [[[1, 4], [2, 7], [7, 1], [8, 1], [10, 1]], 1363/51609600], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 923/10321920], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 2941/24772608000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 105121/955514880], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 117379/15854469120], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 169/3932160], [[[1, 4], [2, 9], [3, 1], [4, 1], [16, 1]], 9131/6794772480], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 2174167/11466178560], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 1339/880803840], [[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 7351/7927234560], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 19/589824], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 89011/44590694400], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 686041/5945425920], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 289067/13589544960], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 2095067/67947724800], [[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 794711/95126814720], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 203870407/6849130659840], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 3799/149299200], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 17/867041280], [[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 29/1857945600], [[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 11/3225600], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 7831/18579456000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 554219/71345111040], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 13169/132710400], [[[1, 4], [2, 9], [3, 1], [6, 1], [16, 1]], 451/70778880], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 703/48168960], [[[1, 4], [2, 9], [3, 1], [6, 2], [9, 1]], 133/26542080], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 41351/278691840], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 1157/23887872], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 92849/1911029760], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 4073/27993600], [[[1, 4], [2, 9], [3, 1], [7, 1], [8, 1]], 1003/4161798144], [[[1, 4], [2, 9], [3, 1], [7, 1], [10, 1]], 271/154828800], [[[1, 4], [2, 9], [3, 1], [8, 1], [9, 1]], 1207/8918138880], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 991/123863040], [[[1, 4], [2, 9], [3, 1], [9, 1], [10, 1]], 19/7372800], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 3263/116121600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 24317/159252480], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 5357/62426972160], [[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 1207/13377208320], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 45559/6936330240], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 24203/59454259200], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 264097/3567255552], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 77357/20384317440], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 19207/2972712960], [[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 17089/17836277760], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 274487/21403533312], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 10397/1393459200], [[[1, 4], [2, 9], [3, 2], [5, 1], [8, 1]], 10559/89181388800], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 13081/18579456000], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 649/1114767360], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 383/371589120], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 4387/185794560], [[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 127/79626240], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 43409/1672151040], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 7381/66355200], [[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 1433/660602880], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 111203/10032906240], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 589/3822059520], [[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 22373/44590694400], [[[1, 4], [2, 9], [3, 3], [4, 1], [12, 1]], 109/2972712960], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 164809/107017666560], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 137/2090188800], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 43493/53508833280], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 19/4147200], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 23/238878720], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 47681/1592524800], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 6751/17340825600], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 44159/1926758400], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 62431/24772608000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 702649/15854469120], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 48349/294912000], [[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 8833/377487360], [[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 126839/5202247680], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 108167/743178240], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 14743/159252480], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 148561/1911029760], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 58213/597196800], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 12397/955514880], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 98669/27745320960], [[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 3221/160563200], [[[1, 4], [2, 9], [4, 1], [7, 1], [12, 1]], 17/46448640], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 157943/1981808640], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 87431/619315200], [[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 1907/185794560], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 84661/2123366400], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 5202073/317089382400], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 3626443/66060288000], [[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 32059/14863564800], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 109/5160960], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 722917/3963617280], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 321743/5096079360], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 1436755/7134511104], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 97543/471859200], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 12281/254803968], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 8917367/45298483200], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 782653/57076088832], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 40033/1061683200], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 10547821/475634073600], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 897173/5284823040], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 1590487/9909043200], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 14352997/285380444160], [[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 137/270950400], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 149/5734400], [[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 961/199065600], [[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 13039/1486356480], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 43969/663552000], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 208127/24772608000], [[[1, 4], [2, 9], [6, 1], [7, 1], [8, 1]], 499/216760320], [[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 37/1612800], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 8419/247726080], [[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 2419/318504960], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 5821/61931520], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 709/26542080], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 49049/1061683200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 13258921/321052999680], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 5941/124853944320], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 8819/178362777600], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 199111/83235962880], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 1173829/7134511104000], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 3674183/122305904640], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 2866547/1902536294400], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 56423/14863564800], [[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 2230451/6421059993600], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 14759183/2140353331200], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 82919/44590694400], [[[1, 4], [2, 11], [3, 1], [5, 1], [8, 1]], 59399/1783627776000], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 8563/24772608000], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 27757/104044953600], [[[1, 4], [2, 11], [3, 1], [6, 1], [9, 1]], 1277/8918138880], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 634841/62426972160], [[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 1667/3822059520], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 90263/17836277760], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 1075867/33443020800], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 311/377487360], [[[1, 4], [2, 11], [3, 2], [4, 1], [5, 1]], 11497/891813888000], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 84623/9172942848], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 1165973/8561413324800], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 701437/1337720832000], [[[1, 4], [2, 11], [3, 2], [4, 1], [12, 1]], 6227/401316249600], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 273221/171228266496], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 11621/111476736000], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 817987/1605264998400], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 2069/891813888], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 613979/4815794995200], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 12767/2786918400], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 1867339/3567255552000], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 5265713/1486356480000], [[[1, 4], [2, 11], [4, 1], [5, 1], [12, 1]], 1889/63700992000], [[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 1909231/1248539443200], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 3567281/124853944320], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 76057/15288238080], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 22701937/1141521776640], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 50675/1019215872], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 127999/53508833280], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 10717073/951268147200], [[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 44291/326149079040], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 111803/89181388800], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 53771/17836277760], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 433426733/17122826649600], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 7599187/158544691200], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 37361/8918138880], [[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 809353/1783627776000], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 2081/393216000], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 2062153/356725555200], [[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 124289/21403533312000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 29171647/12842119987200], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 264329/6849130659840], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 892519/5707608883200], [[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 9373/2446118092800], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 32963869/51368479948800], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 19367/764411904000], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 3210883/34245653299200], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 90997/100329062400], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 1788397/25684239974400], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 3679951/28538044416000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 4137217/4892236185600], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 19674239/5350883328000], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 463097/5707608883200], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 795323/34245653299200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 7/768000], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 45/524288], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 21/3276800], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 6073/113246208], [[[1, 5], [2, 2], [3, 1], [4, 4], [10, 2]], 91/88473600], [[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 49/1327104], [[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 451/14155776], [[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 41/8257536], [[[1, 5], [2, 2], [3, 1], [4, 5], [9, 1]], 151/21233664], [[[1, 5], [2, 2], [3, 1], [4, 5], [14, 1]], 61/49545216], [[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 407/283115520], [[[1, 5], [2, 2], [3, 1], [4, 6], [6, 2]], 61/509607936], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 5101/1358954496], [[[1, 5], [2, 2], [3, 1], [4, 6], [10, 1]], 1/1966080], [[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 505/84934656], [[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 199/509607936], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 3]], 43/1474560], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 2]], 7/122880], [[[1, 5], [2, 2], [3, 1], [5, 2], [10, 2]], 1/60000], [[[1, 5], [2, 2], [3, 1], [5, 2], [16, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 1/216000], [[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/24000], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 11/60000], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/42336], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 3]], 1/221184], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/18816], [[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/11760], [[[1, 5], [2, 2], [3, 1], [8, 2], [10, 2]], 1/1843200], [[[1, 5], [2, 2], [3, 1], [8, 2], [16, 1]], 7/589824], [[[1, 5], [2, 2], [3, 1], [8, 3], [10, 1]], 7/1474560], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/96000], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/18816], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 95/2359296], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 41/5529600], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 395/4718592], [[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 5/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 349/7077888], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 149/12386304], [[[1, 5], [2, 2], [3, 2], [4, 4], [9, 1]], 77/5308416], [[[1, 5], [2, 2], [3, 2], [4, 4], [14, 1]], 1/221184], [[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 73/35389440], [[[1, 5], [2, 2], [3, 2], [4, 5], [6, 2]], 13/10616832], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 421/37748736], [[[1, 5], [2, 2], [3, 2], [4, 5], [10, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 73/5308416], [[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 487/509607936], [[[1, 5], [2, 2], [3, 2], [5, 2], [14, 1]], 1/100800], [[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 1/36000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/7056], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 3]], 17/884736], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 2]], 5/129024], [[[1, 5], [2, 2], [3, 2], [7, 1], [10, 2]], 1/100800], [[[1, 5], [2, 2], [3, 2], [7, 1], [16, 1]], 1/32256], [[[1, 5], [2, 2], [3, 2], [8, 2], [9, 1]], 7/110592], [[[1, 5], [2, 2], [3, 2], [8, 2], [14, 1]], 1/258048], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 311/10616832], [[[1, 5], [2, 2], [3, 3], [4, 2], [10, 2]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 1/124416], [[[1, 5], [2, 2], [3, 3], [4, 2], [16, 1]], 11/442368], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 5/580608], [[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 13/995328], [[[1, 5], [2, 2], [3, 3], [4, 3], [14, 1]], 1/774144], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 1/737280], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 223/71663616], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 1097/127401984], [[[1, 5], [2, 2], [3, 3], [4, 4], [10, 1]], 61/19906560], [[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 31/1990656], [[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 529/191102976], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 2]], 1/110592], [[[1, 5], [2, 2], [3, 3], [5, 1], [10, 2]], 1/216000], [[[1, 5], [2, 2], [3, 3], [5, 1], [16, 1]], 1/69120], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/115200], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/21600], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 31/1492992], [[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/42336], [[[1, 5], [2, 2], [3, 3], [8, 1], [16, 1]], 1/110592], [[[1, 5], [2, 2], [3, 3], [8, 2], [10, 1]], 1/165888], [[[1, 5], [2, 2], [3, 3], [9, 1], [14, 1]], 1/18144], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 1/294912], [[[1, 5], [2, 2], [3, 4], [4, 1], [16, 1]], 1/221184], [[[1, 5], [2, 2], [3, 4], [4, 2], [14, 1]], 1/1161216], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 11/9953280], [[[1, 5], [2, 2], [3, 4], [4, 3], [6, 2]], 1/497664], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 85/31850496], [[[1, 5], [2, 2], [3, 4], [4, 3], [10, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 31/5971968], [[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 119/95551488], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 13/1990656], [[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 1/145152], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/62208], [[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 1/3981312], [[[1, 5], [2, 2], [3, 5], [4, 3], [6, 1]], 1/5971968], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/15680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 19/163840], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 469/2457600], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 5], [2, 2], [4, 1], [5, 2], [16, 1]], 1/10240], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 7/64000], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 11/80000], [[[1, 5], [2, 2], [4, 1], [5, 3], [12, 1]], 1/48000], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 3]], 31/14155776], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 5/50176], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 151/6291456], [[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 3/262144], [[[1, 5], [2, 2], [4, 1], [8, 3], [12, 1]], 7/1048576], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 11/358400], [[[1, 5], [2, 2], [4, 2], [5, 2], [14, 1]], 13/358400], [[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 7/384000], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/37632], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 749/23592960], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 755/2752512], [[[1, 5], [2, 2], [4, 2], [7, 1], [10, 2]], 1/358400], [[[1, 5], [2, 2], [4, 2], [7, 1], [16, 1]], 59/344064], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 5/344064], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 9823/47185920], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/102400], [[[1, 5], [2, 2], [4, 3], [5, 1], [12, 2]], 1/17280], [[[1, 5], [2, 2], [4, 3], [5, 1], [16, 1]], 197/1966080], [[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 307/3276800], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 191/3072000], [[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 191/1843200], [[[1, 5], [2, 2], [4, 3], [6, 2], [16, 1]], 23/14155776], [[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 3/200704], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 2]], 47/19660800], [[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 37/1179648], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 1043/7864320], [[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 481/15728640], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 8539/47185920], [[[1, 5], [2, 2], [4, 3], [10, 1], [16, 1]], 5/262144], [[[1, 5], [2, 2], [4, 3], [12, 1], [16, 1]], 139/2359296], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 23/1720320], [[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 19/1720320], [[[1, 5], [2, 2], [4, 4], [5, 2], [6, 1]], 97/9830400], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 61/8388608], [[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 7/331776], [[[1, 5], [2, 2], [4, 4], [6, 1], [16, 1]], 31/9437184], [[[1, 5], [2, 2], [4, 4], [6, 2], [7, 1]], 5/5308416], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 1243/33030144], [[[1, 5], [2, 2], [4, 4], [7, 1], [10, 1]], 29/10321920], [[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 11/258048], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 139/11010048], [[[1, 5], [2, 2], [4, 4], [10, 1], [14, 1]], 1/573440], [[[1, 5], [2, 2], [4, 4], [12, 1], [14, 1]], 5/258048], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 79/3145728], [[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 7/1310720], [[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 631/17694720], [[[1, 5], [2, 2], [4, 5], [6, 1], [7, 1]], 17/24772608], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 155/679477248], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 13/4194304], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 9527/150994944], [[[1, 5], [2, 2], [4, 5], [10, 1], [12, 1]], 1/245760], [[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 53/35389440], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 1553/2264924160], [[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 23/283115520], [[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 85/21233664], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 3]], 1/92160], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 1/14336], [[[1, 5], [2, 2], [5, 1], [7, 1], [10, 2]], 1/28000], [[[1, 5], [2, 2], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 5], [2, 2], [5, 1], [8, 2], [14, 1]], 1/71680], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 2]], 17/614400], [[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/100800], [[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 3/44800], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 11/28000], [[[1, 5], [2, 2], [5, 3], [6, 1], [8, 1]], 1/96000], [[[1, 5], [2, 2], [5, 3], [6, 1], [10, 1]], 1/60000], [[[1, 5], [2, 2], [6, 2], [7, 1], [8, 2]], 1/387072], [[[1, 5], [2, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 5], [2, 2], [7, 1], [8, 2], [10, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 11/576000], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 13/225792], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 10141/56623104], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 7/1152000], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 1/32256], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 2101/44236800], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 5/3981312], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 7175/12582912], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 671/17694720], [[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 1459/15925248], [[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 10739/56623104], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 20333/2293235712], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 9953/132120576], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 9707/169869312], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 875/21233664], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 1123/53084160], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 1057/37748736], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 125797/1358954496], [[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 25223/1132462080], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 192689/2038431744], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 79511/4076863488], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 19/777600], [[[1, 5], [2, 4], [3, 1], [5, 2], [14, 1]], 41/403200], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/10584], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 1769/28311552], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/864000], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/169344], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 1175/47775744], [[[1, 5], [2, 4], [3, 1], [6, 3], [16, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [6, 4], [7, 1]], 1/290304], [[[1, 5], [2, 4], [3, 1], [6, 4], [9, 1]], 1/373248], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 521/8257536], [[[1, 5], [2, 4], [3, 1], [7, 1], [10, 2]], 3/44800], [[[1, 5], [2, 4], [3, 1], [7, 1], [16, 1]], 1/43008], [[[1, 5], [2, 4], [3, 1], [8, 2], [9, 1]], 145/3538944], [[[1, 5], [2, 4], [3, 1], [8, 2], [14, 1]], 107/3096576], [[[1, 5], [2, 4], [3, 1], [9, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 1/403200], [[[1, 5], [2, 4], [3, 1], [14, 1], [16, 1]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 899/44236800], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 139/23887872], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 35443/113246208], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 407/7372800], [[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 25/995328], [[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 755/7077888], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 431/7962624], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 2561/37158912], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 175/2654208], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 83/1769472], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 8753/424673280], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 8345/84934656], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1399/12582912], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1777/42467328], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 13391/127401984], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 2279/56623104], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 1/933120], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 47/983040], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/7200], [[[1, 5], [2, 4], [3, 2], [5, 1], [16, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 41/345600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 31/1382400], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 43/432000], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 805/5308416], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 7/345600], [[[1, 5], [2, 4], [3, 2], [6, 2], [16, 1]], 23/110592], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 13/81648], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 5/46656], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 19/435456], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 19/186624], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 1/82944], [[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 17/169344], [[[1, 5], [2, 4], [3, 2], [8, 1], [10, 2]], 11/460800], [[[1, 5], [2, 4], [3, 2], [8, 1], [16, 1]], 17/442368], [[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 11/294912], [[[1, 5], [2, 4], [3, 2], [9, 1], [14, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [10, 1], [16, 1]], 1/30720], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 1/172800], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/186624], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 515/10616832], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 2]], 41/2073600], [[[1, 5], [2, 4], [3, 3], [4, 1], [16, 1]], 107/5308416], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1829/17915904], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 283/18579456], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 155/7962624], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 5/193536], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 127/9953280], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 7411/71663616], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 6481/127401984], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 2143/79626240], [[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 2119/47775744], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 45241/1146617856], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 37/699840], [[[1, 5], [2, 4], [3, 3], [5, 1], [14, 1]], 1/45360], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 1417/23887872], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 19/777600], [[[1, 5], [2, 4], [3, 3], [6, 1], [16, 1]], 5/82944], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/5376], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 23/62208], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 43/326592], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 5/46656], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 391/4478976], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 7/174960], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/82944], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 1/45360], [[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 5/248832], [[[1, 5], [2, 4], [3, 3], [8, 1], [14, 1]], 5/290304], [[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 1/19440], [[[1, 5], [2, 4], [3, 3], [10, 1], [14, 1]], 1/90720], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 37/1679616], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 11/3483648], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1/186624], [[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 25/3483648], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 889/23887872], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 637/95551488], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 89/19906560], [[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 19/2654208], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 451/47775744], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/77760], [[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 11/4976640], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 1/207360], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/72576], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/31104], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/41472], [[[1, 5], [2, 4], [3, 4], [6, 1], [18, 1]], 1/124416], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 211/4478976], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/103680], [[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 19/4976640], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/2239488], [[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 1/2488320], [[[1, 5], [2, 4], [3, 5], [4, 1], [12, 1]], 1/1492992], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/1327104], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 1/995328], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 3]], 1/86400], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/25600], [[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 13/76800], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/25600], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/18816], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 7471/56623104], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 1393/106168320], [[[1, 5], [2, 4], [4, 1], [6, 3], [16, 1]], 23/5308416], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 11579/33030144], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 53/537600], [[[1, 5], [2, 4], [4, 1], [7, 1], [16, 1]], 233/1376256], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 7429/55050240], [[[1, 5], [2, 4], [4, 1], [14, 1], [16, 1]], 71/1376256], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 23/19906560], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 29711/31457280], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 851/3072000], [[[1, 5], [2, 4], [4, 2], [5, 1], [12, 2]], 7/276480], [[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 2921/11796480], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 91/1474560], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 3413/9830400], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 3073/6144000], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 629/7372800], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 14773/113246208], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 191/44236800], [[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 7/995328], [[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 2477/70778880], [[[1, 5], [2, 4], [4, 2], [6, 3], [7, 1]], 19/1161216], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 55/18579456], [[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 23/7962624], [[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 13/7962624], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 15/100352], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 10267/98304000], [[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 89/3538944], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 36929/75497472], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 15089/31457280], [[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 10247/37748736], [[[1, 5], [2, 4], [4, 2], [10, 1], [12, 2]], 1/276480], [[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 1231/9830400], [[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 131/7372800], [[[1, 5], [2, 4], [4, 2], [12, 1], [16, 1]], 133/1179648], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 889/159252480], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1031/10321920], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1313/10321920], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1333/14745600], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 229919/566231040], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 239/29491200], [[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 385/5308416], [[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 6209/56623104], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 2561/74317824], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 31/3538944], [[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 31/5308416], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 997/127401984], [[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 1427/159252480], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 14317/33030144], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 2021/20643840], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 2911/12386304], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 9997/33030144], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 97/2293760], [[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 593/4128768], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 6673/212336640], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 113261/452984832], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 73903/471859200], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 2221/11796480], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 6131/148635648], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1525/44040192], [[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 3077/169869312], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 51481/1132462080], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 3269/424673280], [[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 6209/127401984], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 487339/3774873600], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 328789/566231040], [[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1171/11796480], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 2317/75497472], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 95257/1358954496], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 1297/157286400], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 267847/3397386240], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 25/884736], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/108000], [[[1, 5], [2, 4], [5, 1], [6, 2], [16, 1]], 1/34560], [[[1, 5], [2, 4], [5, 1], [6, 3], [7, 1]], 1/90720], [[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/181440], [[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/77760], [[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 1/5880], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 43/384000], [[[1, 5], [2, 4], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 447/3276800], [[[1, 5], [2, 4], [5, 1], [10, 1], [16, 1]], 1/9600], [[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/57600], [[[1, 5], [2, 4], [5, 2], [6, 1], [14, 1]], 11/134400], [[[1, 5], [2, 4], [5, 2], [6, 1], [18, 1]], 1/9600], [[[1, 5], [2, 4], [5, 2], [6, 2], [8, 1]], 1/30720], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 49/432000], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 107/384000], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 2]], 185/3096576], [[[1, 5], [2, 4], [6, 1], [7, 1], [10, 2]], 11/403200], [[[1, 5], [2, 4], [6, 1], [7, 1], [16, 1]], 1/14336], [[[1, 5], [2, 4], [6, 1], [8, 2], [14, 1]], 17/1179648], [[[1, 5], [2, 4], [6, 1], [8, 2], [18, 1]], 31/3538944], [[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 5/169344], [[[1, 5], [2, 4], [6, 2], [7, 1], [18, 1]], 1/24192], [[[1, 5], [2, 4], [6, 2], [8, 1], [16, 1]], 5/442368], [[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 11/983040], [[[1, 5], [2, 4], [6, 3], [7, 1], [8, 1]], 1/82944], [[[1, 5], [2, 4], [6, 3], [7, 1], [10, 1]], 1/181440], [[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 1/9408], [[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 1/23520], [[[1, 5], [2, 4], [8, 1], [10, 1], [16, 1]], 1/61440], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 559/71663616], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 29401/884736000], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 16931/286654464], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 563351/1132462080], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 34291/176947200], [[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 23/1769472], [[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 63163/566231040], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 109457/573308928], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 421/4587520], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 3863/70778880], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 45953/297271296], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 289429/5662310400], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 86693/382205952], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 3785231/13589544960], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 581179/4246732800], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 426343/2548039680], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 810041/6794772480], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 589/14929920], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 989/39321600], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 6469/27648000], [[[1, 5], [2, 6], [3, 1], [5, 1], [16, 1]], 29/2949120], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1211/16588800], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 71/8192000], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 383/5760000], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 15665/127401984], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 439/4147200], [[[1, 5], [2, 6], [3, 1], [6, 2], [16, 1]], 323/2654208], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 17/129024], [[[1, 5], [2, 6], [3, 1], [6, 3], [9, 1]], 41/1492992], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 953/10450944], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 29/248832], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 4811/143327232], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 229/11197440], [[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 31/11612160], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 43/602112], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 889/14745600], [[[1, 5], [2, 6], [3, 1], [8, 1], [16, 1]], 95/4718592], [[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 4549/88473600], [[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 11/258048], [[[1, 5], [2, 6], [3, 1], [10, 1], [16, 1]], 109/2211840], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 53/7372800], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 6581/35831808], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 6343/70778880], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 343/3686400], [[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 12269/424673280], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 11597/23887872], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 1997/61931520], [[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 4973/159252480], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 14197/123863040], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 2503/88473600], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 3403/7077888], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 24335/169869312], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 22661/212336640], [[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 3343/42467328], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 28249/188743680], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 83/373248], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 31/58060800], [[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 31/24883200], [[[1, 5], [2, 6], [3, 2], [5, 1], [14, 1]], 79/1935360], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 169/9216000], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 18313/212336640], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 17/110592], [[[1, 5], [2, 6], [3, 2], [6, 1], [16, 1]], 29/442368], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 383/1741824], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 55/331776], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 43/96768], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 323/1492992], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1385/5971968], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 367/1492992], [[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 11/1474560], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 53/1612800], [[[1, 5], [2, 6], [3, 2], [8, 1], [9, 1]], 7/884736], [[[1, 5], [2, 6], [3, 2], [8, 1], [14, 1]], 79/1548288], [[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 31/829440], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 59/967680], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 7789/17915904], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/241920], [[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 37/6635520], [[[1, 5], [2, 6], [3, 3], [4, 1], [14, 1]], 649/27869184], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1073/265420800], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 13195/47775744], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 6217/212336640], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 487/15925248], [[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 2263/143327232], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 11599/179159040], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1253/14929920], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 191/66355200], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 167/13824000], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 59/3870720], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 107/4976640], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 2053/20901888], [[[1, 5], [2, 6], [3, 3], [6, 1], [18, 1]], 43/2985984], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 449/2985984], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 209/933120], [[[1, 5], [2, 6], [3, 3], [8, 1], [10, 1]], 109/7962624], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 107/199065600], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 2029/35831808], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 4987/1911029760], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 391/119439360], [[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 17/23887872], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 839/63700992], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 7/2488320], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 1355/143327232], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 379/29859840], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 23/71663616], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 335/23887872], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 154393/943718400], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1399/2457600], [[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 5171/70778880], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 31/409600], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 38897/589824000], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 11047/36864000], [[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 3/819200], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 13/69120], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 353/7372800], [[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 4171/56623104], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 1429/27869184], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 29/967680], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 851/19906560], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 5665/382205952], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 269/66355200], [[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 13/2654208], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 29/112896], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 5521/26214400], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 4705/37748736], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 272969/943718400], [[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 2437/113246208], [[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 2243/15728640], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 157/7372800], [[[1, 5], [2, 6], [4, 1], [12, 1], [16, 1]], 11/786432], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 2911/39813120], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 111/1433600], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 14573/51609600], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 31507/294912000], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1709993/2264924160], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 23033/176947200], [[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 355/15925248], [[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 111319/566231040], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 209/1548288], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 467/3538944], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 4109/31850496], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 11471/106168320], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 109/3317760], [[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 1145/23887872], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 256289/660602880], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 29159/103219200], [[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 7711/92897280], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 487969/660602880], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 489/2293760], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 347/2064384], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 6349/42467328], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 3599999/8493465600], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 34333/70778880], [[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 3961/29491200], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 42503/297271296], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1829/7741440], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 33263/212336640], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 58061/169869312], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 10763/106168320], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 4103/23592960], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 2083849/2831155200], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 1375273/2717908992], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 449/1843200], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 240067/2123366400], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 1738819/4529848320], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 388879/3397386240], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 574477/2548039680], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 3967/88473600], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 2963/13824000], [[[1, 5], [2, 6], [5, 1], [6, 1], [16, 1]], 97/2211840], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 71/1935360], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/12096], [[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 109/1244160], [[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 217/7962624], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1273/24883200], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 167/17203200], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1027/10752000], [[[1, 5], [2, 6], [5, 1], [8, 1], [14, 1]], 281/3440640], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 193/921600], [[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 157/4915200], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 5731/27648000], [[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 691/5419008], [[[1, 5], [2, 6], [6, 1], [7, 1], [18, 1]], 11/258048], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 3589/73728000], [[[1, 5], [2, 6], [6, 1], [8, 1], [16, 1]], 511/14155776], [[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 159/2621440], [[[1, 5], [2, 6], [6, 1], [10, 1], [16, 1]], 119/2949120], [[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 5/258048], [[[1, 5], [2, 6], [6, 2], [7, 1], [8, 1]], 83/1548288], [[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 89/967680], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 61/1474560], [[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 95/2654208], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 67/3870720], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 29/1658880], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 1331/66355200], [[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 263/3440640], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 817/17203200], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 18113/6193152000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 73489/573308928], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 139937/3397386240], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 194579/1769472000], [[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 196313/15854469120], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 1663879/4586471424], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 119783/6165626880], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 333439/23781703680], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 29297/247726080], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 2042773/89181388800], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 584765/1528823808], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 7692169/57076088832], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 2614057/20384317440], [[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 320813/6794772480], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 521270423/3424565329920], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 12403/149299200], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 943/1445068800], [[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 109/206438400], [[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 373/19353600], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 28123/4644864000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 215099/7134511104], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 191867/1327104000], [[[1, 5], [2, 8], [3, 1], [6, 1], [16, 1]], 1157/42467328], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 2651/37158912], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1363/79626240], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 116719/557383680], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 7553/79626240], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 1063439/11466178560], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 13981/89579520], [[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 2081/743178240], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 733/51609600], [[[1, 5], [2, 8], [3, 1], [8, 1], [9, 1]], 511/318504960], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 9871/371589120], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 827/66355200], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 7169/116121600], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 644971/1433272320], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 1373/578027520], [[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 311/159252480], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 26381/743178240], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 367763/59454259200], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 1003447/2548039680], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 89059/2378170368], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 736031/14863564800], [[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 6649/660602880], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 609533/5945425920], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 12041/199065600], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 23/14155776], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 1241/132710400], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 18313/1950842880], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 451/39813120], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 17623/185794560], [[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 2057/238878720], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 17117/159252480], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 56381/199065600], [[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 14057/1061683200], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 157/261273600], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 46937/477757440], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 12449/3822059520], [[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 9269/1592524800], [[[1, 5], [2, 8], [3, 3], [4, 1], [12, 1]], 1451/2866544640], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 14491/594542592], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 2683/1045094400], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 6167/637009920], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1051/37324800], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 2083/955514880], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 120707/1911029760], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 27509/4335206400], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 55607/619315200], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 5771/294912000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 680437/5662310400], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 97163/589824000], [[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 7229/125829120], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 112349/1486356480], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 3553/23592960], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 35969/318504960], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 37979/382205952], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 30691/398131200], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 2195/127401984], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 55375/1849688064], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 102551/1238630400], [[[1, 5], [2, 8], [4, 1], [7, 1], [12, 1]], 91/26542080], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 330539/1981808640], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 74213/412876800], [[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 29/1376256], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 93827/707788800], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 5679343/52848230400], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 23670373/99090432000], [[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 247649/14863564800], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 160891/1734082560], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 159889/566231040], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 631733/5096079360], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 678259/1887436800], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 340861/1415577600], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 113707/1274019840], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 51411887/113246208000], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 623879/11324620800], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 93163/1061683200], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 3412591/33973862400], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 22183723/47563407360], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 1192949/4246732800], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 4735489/33973862400], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1859/270950400], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 2003/30965760], [[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 3409/199065600], [[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 59437/2123366400], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 153329/1327104000], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 63907/1769472000], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 583/41287680], [[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 1199/19353600], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 8563/165150720], [[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 649/42467328], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 977/12386304], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 781/26542080], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 41623/707788800], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 314257/2548039680], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 106963/124853944320], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 81793/107017666560], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 182039/11890851840], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 6766801/2378170368000], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 129662873/856141332480], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 35085893/2283043553280], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 78433/2831155200], [[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 19359653/6421059993600], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 24462169/428070666240], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 30067/2123366400], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 170663/356725555200], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 237011/74317824000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 7297/2312110080], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 31013/26754416640], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 2226023/62426972160], [[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 7963/2972712960], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 2443691/107017666560], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 2790223/33443020800], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 75119/16986931200], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 54949/178362777600], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 3709207/53508833280], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 15778393/8561413324800], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 152051/29727129600], [[[1, 5], [2, 10], [3, 2], [4, 1], [12, 1]], 4087/17836277760], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 3266495/171228266496], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 26591/16721510400], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 481/111476736], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 74441/4459069440], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 55385/21403533312], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 545287/22295347200], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 1125349/222953472000], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 1408849/59454259200], [[[1, 5], [2, 10], [4, 1], [5, 1], [12, 1]], 35423/89181388800], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 22865/2080899072], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 113599/1651507200], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 196211/12740198400], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 66015469/1141521776640], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 397969/4246732800], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 763/106168320], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 39483233/951268147200], [[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 415831/456608710656], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 10043/2123366400], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 160553/7134511104], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 131416331/1268357529600], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 21397907/158544691200], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 1306391/71345111040], [[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 22429/7431782400], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 848797/37158912000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 26791/1572864000], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 65521/594542592000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 382810699/25684239974400], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 16450373/34245653299200], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 137189599/85614133248000], [[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 2322283/51368479948800], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 355905793/51368479948800], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 232859/668860416000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 81621811/102736959897600], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 81642193/16052649984000], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 13779839/12842119987200], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 116788979/85614133248000], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 167933071/34245653299200], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 11664521/792723456000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 185309/380507258880], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 29346623/102736959897600], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 3]], 1/122880], [[[1, 5], [3, 1], [4, 1], [5, 2], [16, 1]], 1/19200], [[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000], [[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816], [[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/589824], [[[1, 5], [3, 1], [4, 1], [8, 3], [12, 1]], 1/884736], [[[1, 5], [3, 1], [4, 2], [7, 1], [8, 2]], 13/688128], [[[1, 5], [3, 1], [4, 2], [8, 2], [9, 1]], 5/294912], [[[1, 5], [3, 1], [4, 3], [5, 1], [16, 1]], 1/81920], [[[1, 5], [3, 1], [4, 3], [5, 2], [8, 1]], 11/1843200], [[[1, 5], [3, 1], [4, 3], [8, 1], [12, 2]], 1/331776], [[[1, 5], [3, 1], [4, 3], [12, 1], [16, 1]], 1/221184], [[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/2580480], [[[1, 5], [3, 1], [4, 4], [5, 1], [9, 1]], 1/1105920], [[[1, 5], [3, 1], [4, 4], [7, 1], [12, 1]], 1/258048], [[[1, 5], [3, 1], [4, 4], [9, 1], [12, 1]], 1/110592], [[[1, 5], [3, 1], [4, 5], [5, 1], [8, 1]], 11/11796480], [[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 107/42467328], [[[1, 5], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760], [[[1, 5], [3, 1], [5, 1], [8, 2], [9, 1]], 1/23040], [[[1, 5], [3, 2], [4, 1], [7, 1], [16, 1]], 1/32256], [[[1, 5], [3, 2], [4, 2], [5, 1], [8, 2]], 1/147456], [[[1, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 1/172800], [[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/147456], [[[1, 5], [3, 2], [4, 2], [8, 2], [12, 1]], 1/147456], [[[1, 5], [3, 2], [4, 3], [7, 1], [8, 1]], 5/774144], [[[1, 5], [3, 2], [4, 3], [8, 1], [9, 1]], 1/110592], [[[1, 5], [3, 2], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 5], [3, 3], [4, 1], [5, 1], [16, 1]], 1/69120], [[[1, 5], [3, 3], [4, 2], [7, 1], [12, 1]], 1/72576], [[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 1/31104], [[[1, 5], [3, 3], [4, 3], [5, 1], [8, 1]], 1/829440], [[[1, 5], [3, 3], [4, 3], [8, 1], [12, 1]], 11/1990656], [[[1, 5], [4, 1], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800], [[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/61440], [[[1, 5], [4, 2], [5, 1], [8, 2], [12, 1]], 7/368640], [[[1, 5], [4, 3], [5, 1], [7, 1], [8, 1]], 1/107520], [[[1, 5], [4, 3], [7, 1], [8, 1], [12, 1]], 11/516096], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 3/256000], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/50176], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/131072], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 277/88473600], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 9887/1132462080], [[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 1/147456], [[[1, 6], [2, 1], [3, 1], [4, 4], [16, 1]], 7/884736], [[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 13/8257536], [[[1, 6], [2, 1], [3, 1], [4, 5], [9, 1]], 49/21233664], [[[1, 6], [2, 1], [3, 1], [4, 5], [14, 1]], 19/49545216], [[[1, 6], [2, 1], [3, 1], [4, 6], [5, 1]], 23/70778880], [[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 1207/1358954496], [[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 1/1048576], [[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 5/254803968], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/11760], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 3]], 13/1474560], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 2]], 43/1843200], [[[1, 6], [2, 1], [3, 1], [5, 2], [16, 1]], 1/19200], [[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/24000], [[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/6000], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/18816], [[[1, 6], [2, 1], [3, 1], [8, 2], [16, 1]], 1/589824], [[[1, 6], [2, 1], [3, 1], [8, 3], [10, 1]], 1/1474560], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/96000], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 1/18816], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 167/14155776], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 41/5529600], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 19/1572864], [[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 1/165888], [[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 11/1572864], [[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/387072], [[[1, 6], [2, 1], [3, 2], [4, 4], [9, 1]], 61/15925248], [[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 19/11796480], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1067/679477248], [[[1, 6], [2, 1], [3, 2], [4, 5], [10, 1]], 1/3538944], [[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 43/10616832], [[[1, 6], [2, 1], [3, 2], [4, 6], [6, 1]], 13/84934656], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/20160], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/10800], [[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/36000], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 3]], 1/884736], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 2]], 5/258048], [[[1, 6], [2, 1], [3, 2], [7, 1], [16, 1]], 1/32256], [[[1, 6], [2, 1], [3, 2], [8, 2], [9, 1]], 7/331776], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/276480], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 61/3538944], [[[1, 6], [2, 1], [3, 3], [4, 2], [16, 1]], 7/442368], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 5/580608], [[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 13/995328], [[[1, 6], [2, 1], [3, 3], [4, 3], [14, 1]], 1/774144], [[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 73/79626240], [[[1, 6], [2, 1], [3, 3], [4, 4], [8, 1]], 569/127401984], [[[1, 6], [2, 1], [3, 3], [4, 4], [12, 1]], 13/3981312], [[[1, 6], [2, 1], [3, 3], [4, 5], [6, 1]], 37/191102976], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 2]], 1/165888], [[[1, 6], [2, 1], [3, 3], [5, 1], [16, 1]], 1/69120], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/115200], [[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/21600], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/18144], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 1/294912], [[[1, 6], [2, 1], [3, 4], [4, 1], [16, 1]], 1/221184], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/387072], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/248832], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 11/9953280], [[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 85/31850496], [[[1, 6], [2, 1], [3, 4], [4, 3], [10, 1]], 1/1105920], [[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 31/5971968], [[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 5/5971968], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/90720], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/38880], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 2]], 1/248832], [[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 1/145152], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/62208], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 1/2488320], [[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/3981312], [[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 1/2239488], [[[1, 6], [2, 1], [3, 5], [4, 3], [6, 1]], 1/5971968], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/15680], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 643/19660800], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 67/2457600], [[[1, 6], [2, 1], [4, 1], [5, 2], [16, 1]], 7/153600], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 1/12000], [[[1, 6], [2, 1], [4, 1], [5, 3], [10, 1]], 1/80000], [[[1, 6], [2, 1], [4, 1], [5, 3], [12, 1]], 1/48000], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 1/21504], [[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 31/94371840], [[[1, 6], [2, 1], [4, 1], [8, 3], [12, 1]], 31/141557760], [[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/51200], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 1/983040], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 57/917504], [[[1, 6], [2, 1], [4, 2], [7, 1], [16, 1]], 17/344064], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 679/47185920], [[[1, 6], [2, 1], [4, 3], [5, 1], [12, 2]], 1/69120], [[[1, 6], [2, 1], [4, 3], [5, 1], [16, 1]], 31/3932160], [[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 2009/58982400], [[[1, 6], [2, 1], [4, 3], [5, 2], [10, 1]], 1/204800], [[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 101/1843200], [[[1, 6], [2, 1], [4, 3], [7, 1], [14, 1]], 1/200704], [[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 31/53084160], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 53/7864320], [[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 17/15728640], [[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 51/5242880], [[[1, 6], [2, 1], [4, 3], [12, 1], [16, 1]], 31/35389440], [[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/294912], [[[1, 6], [2, 1], [4, 4], [6, 1], [16, 1]], 1/3145728], [[[1, 6], [2, 1], [4, 4], [7, 1], [8, 1]], 247/33030144], [[[1, 6], [2, 1], [4, 4], [7, 1], [12, 1]], 1/86016], [[[1, 6], [2, 1], [4, 4], [8, 1], [14, 1]], 1/1572864], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 961/314572800], [[[1, 6], [2, 1], [4, 5], [5, 1], [10, 1]], 11/29491200], [[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 187/17694720], [[[1, 6], [2, 1], [4, 5], [6, 1], [7, 1]], 5/24772608], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 49397/6794772480], [[[1, 6], [2, 1], [4, 5], [10, 1], [12, 1]], 1/1474560], [[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 83/2264924160], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 3]], 1/368640], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 2]], 1/26880], [[[1, 6], [2, 1], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 3/44800], [[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/2800], [[[1, 6], [2, 1], [5, 3], [6, 1], [8, 1]], 1/96000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 41/576000], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 43/225792], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 1071/10485760], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 1/1152000], [[[1, 6], [2, 3], [3, 1], [4, 1], [14, 2]], 1/225792], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 3337/44236800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 4055/12582912], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 2]], 31/3538944], [[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 733/15925248], [[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 7271/56623104], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 161/254803968], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 24043/396361728], [[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 9707/169869312], [[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 461/24772608], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 4483/212336640], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 2057/566231040], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 108763/2264924160], [[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 8081/1132462080], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 99167/2038431744], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 133993/20384317440], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/172800], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 1/19200], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/28800], [[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 43/403200], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 3/32000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/4704], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 3]], 3551/141557760], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 2]], 5/1769472], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 617/8257536], [[[1, 6], [2, 3], [3, 1], [7, 1], [10, 2]], 1/57600], [[[1, 6], [2, 3], [3, 1], [7, 1], [16, 1]], 1/14336], [[[1, 6], [2, 3], [3, 1], [8, 2], [9, 1]], 145/3538944], [[[1, 6], [2, 3], [3, 1], [8, 2], [14, 1]], 1/114688], [[[1, 6], [2, 3], [3, 1], [14, 1], [16, 1]], 1/129024], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 511/7372800], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 3647/12582912], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 29/2949120], [[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 7/331776], [[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 811/7077888], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 121/23887872], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 3593/37158912], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 89/884736], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 373/12386304], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 743/23592960], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 39851/1528823808], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 10579/113246208], [[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 7157/424673280], [[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 395/4718592], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 185/9437184], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 89/1474560], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/19200], [[[1, 6], [2, 3], [3, 2], [5, 1], [16, 1]], 1/15360], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 127/1036800], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 103/1382400], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 73/288000], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 1877/31850496], [[[1, 6], [2, 3], [3, 2], [6, 2], [16, 1]], 19/331776], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/24192], [[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 1/31104], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 1/24192], [[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 5/56448], [[[1, 6], [2, 3], [3, 2], [8, 1], [10, 2]], 1/153600], [[[1, 6], [2, 3], [3, 2], [8, 1], [16, 1]], 5/147456], [[[1, 6], [2, 3], [3, 2], [8, 2], [10, 1]], 191/8847360], [[[1, 6], [2, 3], [3, 2], [9, 1], [14, 1]], 1/10368], [[[1, 6], [2, 3], [3, 2], [10, 1], [16, 1]], 1/92160], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 7/345600], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 671/10616832], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 2]], 23/2073600], [[[1, 6], [2, 3], [3, 3], [4, 1], [16, 1]], 101/2654208], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 37/1990656], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 83/1327104], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 107/1327104], [[[1, 6], [2, 3], [3, 3], [4, 2], [14, 1]], 43/2322432], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 29/1244160], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 4237/71663616], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 4723/63700992], [[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 2023/79626240], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 2791/47775744], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 14243/382205952], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/77760], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/40320], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/25920], [[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 1/36288], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/16200], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 419/7962624], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/172800], [[[1, 6], [2, 3], [3, 3], [6, 1], [16, 1]], 5/82944], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 355/1306368], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 23/62208], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/72576], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/31104], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 169/4478976], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 25/580608], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 13/362880], [[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 17/248832], [[[1, 6], [2, 3], [3, 3], [8, 1], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 7/419904], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 41/3483648], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 1/46656], [[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 31/3483648], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 193/19906560], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 3071/71663616], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 2347/95551488], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 23/2211840], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 71/3981312], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1073/47775744], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 37/699840], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 41/4976640], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 61/3110400], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 1/20736], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 5/46656], [[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 19/870912], [[[1, 6], [2, 3], [3, 4], [6, 1], [18, 1]], 1/124416], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 199/4478976], [[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 1/116640], [[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 5/995328], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/248832], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/442368], [[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 1/829440], [[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 1/497664], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 139/35831808], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/933120], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 7/995328], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/2799360], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 3]], 1/345600], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/7168], [[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 61/537600], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 7/128000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/18816], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 9673/283115520], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 31/35389440], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 10133/33030144], [[[1, 6], [2, 3], [4, 1], [7, 1], [10, 2]], 11/537600], [[[1, 6], [2, 3], [4, 1], [7, 1], [16, 1]], 233/1376256], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 619/55050240], [[[1, 6], [2, 3], [4, 1], [14, 1], [16, 1]], 31/20643840], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 116513/157286400], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 773/12288000], [[[1, 6], [2, 3], [4, 2], [5, 1], [12, 2]], 7/276480], [[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 2267/11796480], [[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 787/44236800], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 4469/9830400], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 827/2457600], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 1009/7372800], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 10559/566231040], [[[1, 6], [2, 3], [4, 2], [6, 2], [16, 1]], 337/70778880], [[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 31/301056], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1007/98304000], [[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 23/3538944], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 10037/62914560], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 8699/94371840], [[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 25549/283115520], [[[1, 6], [2, 3], [4, 2], [10, 1], [16, 1]], 23/819200], [[[1, 6], [2, 3], [4, 2], [10, 2], [12, 1]], 31/110592000], [[[1, 6], [2, 3], [4, 2], [12, 1], [16, 1]], 43/1179648], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 157/159252480], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1151/10321920], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 19/294912], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1001/14745600], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 59687/566231040], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 2]], 7/5898240], [[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 95/5308416], [[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 5903/283115520], [[[1, 6], [2, 3], [4, 3], [6, 2], [7, 1]], 1061/74317824], [[[1, 6], [2, 3], [4, 3], [6, 2], [14, 1]], 29/24772608], [[[1, 6], [2, 3], [4, 3], [6, 2], [18, 1]], 1/1769472], [[[1, 6], [2, 3], [4, 3], [6, 3], [12, 1]], 23/17694720], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 44371/165150720], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 737/20643840], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 2257/12386304], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 7459/99090432], [[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 71/6881280], [[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 15/458752], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 5933/2123366400], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 87587/452984832], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 126017/2359296000], [[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 27379/176947200], [[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 311/16515072], [[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 12541/5945425920], [[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1381/2548039680], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 4421/1132462080], [[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 2833/637009920], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 119069/3774873600], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 28295/113246208], [[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 1597/58982400], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 5903/377487360], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 109807/6794772480], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 2753/1415577600], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 77561/3397386240], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 2]], 443/44236800], [[[1, 6], [2, 3], [5, 1], [6, 2], [16, 1]], 1/138240], [[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 1/5880], [[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 1/76800], [[[1, 6], [2, 3], [5, 1], [8, 1], [16, 1]], 7/122880], [[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 849/16384000], [[[1, 6], [2, 3], [5, 1], [10, 1], [16, 1]], 1/38400], [[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/19200], [[[1, 6], [2, 3], [5, 2], [6, 1], [14, 1]], 1/28800], [[[1, 6], [2, 3], [5, 2], [6, 1], [18, 1]], 7/86400], [[[1, 6], [2, 3], [5, 2], [6, 2], [8, 1]], 7/460800], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/43200], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 17/76800], [[[1, 6], [2, 3], [6, 1], [7, 1], [8, 2]], 5/129024], [[[1, 6], [2, 3], [6, 1], [7, 1], [16, 1]], 1/43008], [[[1, 6], [2, 3], [6, 1], [8, 2], [14, 1]], 31/123863040], [[[1, 6], [2, 3], [6, 1], [8, 2], [18, 1]], 31/53084160], [[[1, 6], [2, 3], [6, 3], [7, 1], [8, 1]], 1/580608], [[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 1/37632], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 23/71663616], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 23033/176947200], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 839/63700992], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1709993/2264924160], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 31507/294912000], [[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 355/15925248], [[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 111319/566231040], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 11599/179159040], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1829/7741440], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 33263/212336640], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 42503/297271296], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 388879/3397386240], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 28249/188743680], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 1738819/4529848320], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 240067/2123366400], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 574477/2548039680], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 810041/6794772480], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 379/29859840], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 159/2621440], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 5731/27648000], [[[1, 6], [2, 5], [3, 1], [5, 1], [16, 1]], 119/2949120], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 17/110592], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 3589/73728000], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 2963/13824000], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 18313/212336640], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 169/9216000], [[[1, 6], [2, 5], [3, 1], [6, 2], [16, 1]], 29/442368], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 2053/20901888], [[[1, 6], [2, 5], [3, 1], [6, 3], [9, 1]], 43/2985984], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 59/3870720], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 107/4976640], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 1355/143327232], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 7/2488320], [[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 5/258048], [[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 691/5419008], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 157/4915200], [[[1, 6], [2, 5], [3, 1], [8, 1], [16, 1]], 511/14155776], [[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 3967/88473600], [[[1, 6], [2, 5], [3, 1], [9, 1], [14, 1]], 11/258048], [[[1, 6], [2, 5], [3, 1], [10, 1], [16, 1]], 97/2211840], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 353/7372800], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 2029/35831808], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 13/69120], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 31/409600], [[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 4171/56623104], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 13195/47775744], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 467/3538944], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 4109/31850496], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 209/1548288], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 10763/106168320], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 3403/7077888], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 58061/169869312], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 6349/42467328], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 4103/23592960], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 86693/382205952], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 209/933120], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 67/3870720], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 29/1658880], [[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 89/967680], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 439/4147200], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 15665/127401984], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1211/16588800], [[[1, 6], [2, 5], [3, 2], [6, 1], [16, 1]], 323/2654208], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 43/96768], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 323/1492992], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 383/1741824], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 55/331776], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 449/2985984], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1253/14929920], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 61/1474560], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/12096], [[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 95/2654208], [[[1, 6], [2, 5], [3, 2], [8, 1], [14, 1]], 83/1548288], [[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 109/1244160], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 71/1935360], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 7789/17915904], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 29/967680], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 851/19906560], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 1429/27869184], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 109/3317760], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 11597/23887872], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 11471/106168320], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 2911/39813120], [[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 1145/23887872], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 109457/573308928], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 367/1492992], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 1331/66355200], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1273/24883200], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 953/10450944], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 29/248832], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 17/129024], [[[1, 6], [2, 5], [3, 3], [6, 1], [18, 1]], 41/1492992], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1385/5971968], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 83/373248], [[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 217/7962624], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 269/66355200], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 6581/35831808], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 5665/382205952], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 335/23887872], [[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 13/2654208], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 16931/286654464], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 229/11197440], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 4811/143327232], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 589/14929920], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 559/71663616], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 391/119439360], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 272969/943718400], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 11047/36864000], [[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 2243/15728640], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 343/3686400], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 5521/26214400], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1399/2457600], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 157/7372800], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 6343/70778880], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 53/7372800], [[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 12269/424673280], [[[1, 6], [2, 5], [4, 1], [6, 3], [7, 1]], 649/27869184], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/241920], [[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 37/6635520], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 4987/1911029760], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 107/199065600], [[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 17/23887872], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 29/112896], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 38897/589824000], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 4705/37748736], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 154393/943718400], [[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 2437/113246208], [[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 5171/70778880], [[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 3/819200], [[[1, 6], [2, 5], [4, 1], [12, 1], [16, 1]], 11/786432], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 487/15925248], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 489/2293760], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 29159/103219200], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 34291/176947200], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 563351/1132462080], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 29401/884736000], [[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 23/1769472], [[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 63163/566231040], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 14197/123863040], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 1997/61931520], [[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 4973/159252480], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 6217/212336640], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1073/265420800], [[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 2263/143327232], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 487969/660602880], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 14573/51609600], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 347/2064384], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 256289/660602880], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 111/1433600], [[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 7711/92897280], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 22661/212336640], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 2083849/2831155200], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 34333/70778880], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 449/1843200], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 45953/297271296], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 421/4587520], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 3863/70778880], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 24335/169869312], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 2503/88473600], [[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 3343/42467328], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 3599999/8493465600], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 1375273/2717908992], [[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 3961/29491200], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 581179/4246732800], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 3785231/13589544960], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 289429/5662310400], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 426343/2548039680], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 4549/88473600], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 383/5760000], [[[1, 6], [2, 5], [5, 1], [6, 1], [16, 1]], 109/2211840], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 59/967680], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 53/1612800], [[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 31/829440], [[[1, 6], [2, 5], [5, 1], [6, 3], [8, 1]], 109/7962624], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 167/13824000], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 817/17203200], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 193/921600], [[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 263/3440640], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1027/10752000], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 889/14745600], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 6469/27648000], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 43/602112], [[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 11/258048], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 71/8192000], [[[1, 6], [2, 5], [6, 1], [8, 1], [16, 1]], 95/4718592], [[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 989/39321600], [[[1, 6], [2, 5], [6, 1], [10, 1], [16, 1]], 29/2949120], [[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 31/11612160], [[[1, 6], [2, 5], [6, 2], [7, 1], [8, 1]], 79/1548288], [[[1, 6], [2, 5], [6, 2], [7, 1], [10, 1]], 79/1935360], [[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 11/1474560], [[[1, 6], [2, 5], [6, 2], [8, 1], [18, 1]], 7/884736], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 31/58060800], [[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 31/24883200], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 191/66355200], [[[1, 6], [2, 5], [7, 1], [8, 1], [10, 1]], 281/3440640], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 167/17203200], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 152177/6193152000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 207679/2866544640], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1352143/11890851840], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 224987/1769472000], [[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 244567/5662310400], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 488941/1528823808], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 41593/440401920], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 321743/5096079360], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 14321/66060288], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 382087/3567255552], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 4048369/7644119040], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 8213461/20384317440], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 5044531/20384317440], [[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 6115961/47563407360], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 3615671/10871635968], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 7073/59719680], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 3413/464486400], [[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 961/199065600], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 433/7741440], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 8359/221184000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 25043/424673280], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 46649/442368000], [[[1, 6], [2, 7], [3, 1], [6, 1], [16, 1]], 7553/141557760], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 25043/159252480], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 875/31850496], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 28369/185794560], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 7553/79626240], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 1015151/11466178560], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 977/11059200], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 11153/743178240], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 5011/103219200], [[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 2419/318504960], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 16453/371589120], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 709/26542080], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 103/1612800], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 166117/286654464], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 38419/1734082560], [[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 3079/159252480], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 21523/247726080], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 90137/2123366400], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 4426883/5096079360], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 209101/1321205760], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 13553/94371840], [[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 4051/95551488], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 173405/509607936], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 41719/199065600], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 4067/353894400], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 5957/132710400], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 193/3440640], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 1157/23887872], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 38545/222953472], [[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 233/10616832], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 136267/637009920], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 13753/39813120], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 3989/117964800], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 29371/4180377600], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 168239/477757440], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 41881/1911029760], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 46457/1592524800], [[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 10319/2866544640], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 518537/3822059520], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 7271/298598400], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 82289/1911029760], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 24499/298598400], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 54047/2866544640], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 118691/1911029760], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 6977/173408256], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 104003/619315200], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 281/3932160], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 229843/1415577600], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 52499/589824000], [[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 1186211/16986931200], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 33289/297271296], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 123103/1486356480], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 22073/318504960], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 125531/1911029760], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 12929/398131200], [[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 4393/382205952], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 208003/1981808640], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 202247/1238630400], [[[1, 6], [2, 7], [4, 1], [7, 1], [12, 1]], 2371/185794560], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 360743/1981808640], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 7043/58982400], [[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 31/1376256], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 842029/4246732800], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 5874703/17616076800], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 6729997/14155776000], [[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 313189/5308416000], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 198899/990904320], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 885779/3963617280], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 631733/5096079360], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 622319/1887436800], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 302777/2123366400], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 32353/382205952], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 60597437/113246208000], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 3630287/33973862400], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 59551/589824000], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 7733557/33973862400], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 4139933/6794772480], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 1022471/4246732800], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 2108393/11324620800], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 619/19353600], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 8123/103219200], [[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 781/26542080], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 91693/2123366400], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 44603/442368000], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 533/7372800], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 4519/123863040], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 91/1105920], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 19393/495452160], [[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 649/42467328], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 2267/66355200], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 3409/199065600], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 15953/424673280], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 7287991/38220595200], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 132661/17836277760], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 76057/15288238080], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 262817/5549064192], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 987181/47563407360], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 255075589/713451110400], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 171027359/2283043553280], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 507143/5308416000], [[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 10040873/713451110400], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 508129/2388787200], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 15779/309657600], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 1150097/356725555200], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 1195759/74317824000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 265709/15606743040], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 973/212336640], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 72121/1061683200], [[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 23837/3185049600], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 7114819/133772083200], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 79349/663552000], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 59989/4404019200], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 95863/25480396800], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 46565/191102976], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 2851585/228304355328], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 361799/14863564800], [[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 41467/26754416640], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 84323/792723456], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 260321/22295347200], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 174841/8918138880], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 59917/1061683200], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 145171/7134511104], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 2754893/44590694400], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 12969371/528482304000], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 31511/412876800], [[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 209243/89181388800], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 114263/2972712960], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 1371271/14863564800], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 334861/12740198400], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 18811147/203843174400], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 28051/283115520], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 2971/254803968], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 7082879/84934656000], [[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 481063/152202903552], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 799/84934656], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 3119923/37158912000], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 285173761/1268357529600], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 33775771/169869312000], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 43833599/1070176665600], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 325939/29727129600], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 444319/8847360000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 1135787/42467328000], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 317701/297271296000], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 1319777141/25684239974400], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 79750717/24461180928000], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 104168551/12230590464000], [[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 16037869/51368479948800], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 7817891/211392921600], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 6791257/2675441664000], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 392876713/102736959897600], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 28618109/1783627776000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 7823177/917294284800], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 128008609/17122826649600], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 111359053/6849130659840], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 237634697/7134511104000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 1128919/684913065984], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 143314367/73383542784000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/9600], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 13/75264], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 2381/94371840], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 4793/88473600], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 11747/188743680], [[[1, 7], [2, 2], [3, 1], [4, 3], [12, 2]], 277/26542080], [[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 8521/283115520], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 7669/396361728], [[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 3077/169869312], [[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 109/24772608], [[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 11503/1415577600], [[[1, 7], [2, 2], [3, 1], [4, 5], [6, 2]], 103/849346560], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 1645/150994944], [[[1, 7], [2, 2], [3, 1], [4, 5], [10, 1]], 2887/5662310400], [[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 43319/3397386240], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 13357/20384317440], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1/6400], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/9600], [[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 13/403200], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 23/288000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/7056], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 3]], 553/141557760], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 263/8257536], [[[1, 7], [2, 2], [3, 1], [7, 1], [10, 2]], 1/403200], [[[1, 7], [2, 2], [3, 1], [7, 1], [16, 1]], 1/18432], [[[1, 7], [2, 2], [3, 1], [8, 2], [9, 1]], 31/3538944], [[[1, 7], [2, 2], [3, 1], [8, 2], [14, 1]], 1/1032192], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 11/163840], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 11129/113246208], [[[1, 7], [2, 2], [3, 2], [4, 2], [10, 2]], 7/4915200], [[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 1/331776], [[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 349/7864320], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1145/24772608], [[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 841/15925248], [[[1, 7], [2, 2], [3, 2], [4, 3], [14, 1]], 11/2752512], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 289/14155776], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1727/1528823808], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 90239/3397386240], [[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 1697/424673280], [[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1073/42467328], [[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 20113/5096079360], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/32768], [[[1, 7], [2, 2], [3, 2], [5, 1], [10, 2]], 1/288000], [[[1, 7], [2, 2], [3, 2], [5, 1], [16, 1]], 1/18432], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/41472], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 11/153600], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 19/96000], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 161/31850496], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 1/8064], [[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 1/56448], [[[1, 7], [2, 2], [3, 2], [8, 1], [16, 1]], 1/147456], [[[1, 7], [2, 2], [3, 2], [8, 2], [10, 1]], 7/1769472], [[[1, 7], [2, 2], [3, 2], [9, 1], [14, 1]], 1/72576], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 83/2073600], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 649/21233664], [[[1, 7], [2, 2], [3, 3], [4, 1], [16, 1]], 23/884736], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 61/1032192], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 11/147456], [[[1, 7], [2, 2], [3, 3], [4, 2], [14, 1]], 1/110592], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 127/6635520], [[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 19/3981312], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 251/7077888], [[[1, 7], [2, 2], [3, 3], [4, 3], [10, 1]], 13/3538944], [[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 2573/95551488], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 571/84934656], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/13440], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/8640], [[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 1/90720], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 11/129600], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 91/5308416], [[[1, 7], [2, 2], [3, 3], [6, 1], [16, 1]], 1/55296], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 169/1306368], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 19/186624], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 1/24192], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/51840], [[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 5/82944], [[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/51840], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 13/497664], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 5/124416], [[[1, 7], [2, 2], [3, 4], [4, 1], [14, 1]], 1/387072], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 251/19906560], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 821/71663616], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 737/31850496], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 47/6635520], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 173/11943936], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 703/47775744], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 7/174960], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 53/4976640], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 61/3110400], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 29/435456], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 5/46656], [[[1, 7], [2, 2], [3, 4], [6, 1], [14, 1]], 1/870912], [[[1, 7], [2, 2], [3, 4], [6, 1], [18, 1]], 1/373248], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 7/746496], [[[1, 7], [2, 2], [3, 4], [8, 1], [10, 1]], 1/552960], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/311040], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1/279936], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 53/11943936], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 11/7464960], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 11/4478976], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 187/35831808], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/103680], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 59/8957952], [[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 1/2799360], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 1/6718464], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 19/107520], [[[1, 7], [2, 2], [4, 1], [5, 2], [14, 1]], 1/38400], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 7/288000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/32256], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 3]], 523/283115520], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 14023/165150720], [[[1, 7], [2, 2], [4, 1], [7, 1], [16, 1]], 71/1376256], [[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 31/165150720], [[[1, 7], [2, 2], [4, 1], [14, 1], [16, 1]], 1/20643840], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 2093/10485760], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 2]], 19/12288000], [[[1, 7], [2, 2], [4, 2], [5, 1], [12, 2]], 1/276480], [[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 457/9830400], [[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 127/44236800], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 21131/98304000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 223/4096000], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 197/2457600], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 289/566231040], [[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 1/37632], [[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 31/53084160], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 2291/188743680], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 401/94371840], [[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 2441/283115520], [[[1, 7], [2, 2], [4, 2], [10, 1], [16, 1]], 31/58982400], [[[1, 7], [2, 2], [4, 2], [10, 2], [12, 1]], 1/110592000], [[[1, 7], [2, 2], [4, 2], [12, 1], [16, 1]], 31/17694720], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1193/20643840], [[[1, 7], [2, 2], [4, 3], [5, 1], [14, 1]], 31/6881280], [[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 671/88473600], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 4069/566231040], [[[1, 7], [2, 2], [4, 3], [6, 1], [12, 2]], 31/79626240], [[[1, 7], [2, 2], [4, 3], [6, 1], [16, 1]], 533/283115520], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 12211/165150720], [[[1, 7], [2, 2], [4, 3], [7, 1], [10, 1]], 3/573440], [[[1, 7], [2, 2], [4, 3], [7, 1], [12, 1]], 1417/20643840], [[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 355/99090432], [[[1, 7], [2, 2], [4, 3], [12, 1], [14, 1]], 31/61931520], [[[1, 7], [2, 2], [4, 4], [5, 1], [6, 2]], 251/707788800], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 172891/3774873600], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 43061/7077888000], [[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 7837/176947200], [[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 227/49545216], [[[1, 7], [2, 2], [4, 4], [6, 1], [14, 1]], 1171/5945425920], [[[1, 7], [2, 2], [4, 4], [6, 1], [18, 1]], 91/2548039680], [[[1, 7], [2, 2], [4, 4], [6, 2], [12, 1]], 283/637009920], [[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 32717/11324620800], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 492281/11890851840], [[[1, 7], [2, 2], [4, 4], [10, 1], [12, 1]], 227/58982400], [[[1, 7], [2, 2], [4, 5], [5, 1], [6, 1]], 10153/16986931200], [[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 5647/6794772480], [[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 1873/2038431744], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 2]], 7/4915200], [[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 1/23520], [[[1, 7], [2, 2], [5, 1], [8, 1], [16, 1]], 1/122880], [[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 911/147456000], [[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/26880], [[[1, 7], [2, 2], [5, 2], [6, 1], [14, 1]], 1/201600], [[[1, 7], [2, 2], [5, 2], [6, 1], [18, 1]], 1/86400], [[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 17/384000], [[[1, 7], [2, 2], [6, 1], [7, 1], [8, 2]], 1/172032], [[[1, 7], [2, 2], [6, 1], [8, 2], [14, 1]], 1/123863040], [[[1, 7], [2, 2], [6, 1], [8, 2], [18, 1]], 1/53084160], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 44339/176947200], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 65/191102976], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1218977/2264924160], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 7109/294912000], [[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 253/15925248], [[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 667/4423680], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 2921/318504960], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 1561/6635520], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 33263/212336640], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 38053/495452160], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 412069/3397386240], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 54461/1698693120], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 811147/3397386240], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 86837/2123366400], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 369103/2548039680], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 318457/6794772480], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 23/29859840], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 289/4718592], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 659/9216000], [[[1, 7], [2, 4], [3, 1], [5, 1], [16, 1]], 21/327680], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 11/92160], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 4229/44236800], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 4133/13824000], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 5659/212336640], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 17/27648000], [[[1, 7], [2, 4], [3, 1], [6, 2], [16, 1]], 107/8847360], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 643/20901888], [[[1, 7], [2, 4], [3, 1], [6, 3], [9, 1]], 7/2985984], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 11/34836480], [[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 11/14929920], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/1327104], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 11/258048], [[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 541/5419008], [[[1, 7], [2, 4], [3, 1], [8, 1], [10, 2]], 583/73728000], [[[1, 7], [2, 4], [3, 1], [8, 1], [16, 1]], 361/14155776], [[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 23/1179648], [[[1, 7], [2, 4], [3, 1], [9, 1], [14, 1]], 5/258048], [[[1, 7], [2, 4], [3, 1], [10, 1], [16, 1]], 37/2457600], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 19/147456], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 23/5971968], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 4169/23592960], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 2947/110592000], [[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 4987/56623104], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 1097/19906560], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 6185/24772608], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 7535/31850496], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 307/4128768], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 3271/21233664], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 326671/1911029760], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 27845/84934656], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 89609/1061683200], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 103511/637009920], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 105595/764411904], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 611/7464960], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 65/774144], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 119/1658880], [[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 17/193536], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1847/8294400], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 51679/637009920], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 961/82944000], [[[1, 7], [2, 4], [3, 2], [6, 1], [16, 1]], 55/589824], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 433/1161216], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 29/248832], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 713/17418240], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 247/4976640], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 301/7464960], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 137/14929920], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 19/229376], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 11/120960], [[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 511/7962624], [[[1, 7], [2, 4], [3, 2], [8, 1], [14, 1]], 49/2211840], [[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 97/1244160], [[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 11/1935360], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 15515/107495424], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 95/1161216], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 217/1990656], [[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 155/3483648], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 2339/26542080], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 4981/15925248], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 33037/191102976], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 307/4423680], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 1691/23887872], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 18043/95551488], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 259/829440], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 11/245760], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1121/12441600], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 2015/10450944], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 323/1492992], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 43/580608], [[[1, 7], [2, 4], [3, 3], [6, 1], [18, 1]], 11/497664], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 1405/8957952], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 563/7464960], [[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 29/1244160], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 1037/59719680], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 7625/35831808], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 13327/382205952], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 433/19906560], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 41/3981312], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 31727/286654464], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1307/22394880], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1261/23887872], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 121/2985984], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 907/35831808], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 327313/1415577600], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 12019/184320000], [[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 391/3145728], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 5363/110592000], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 8017/26214400], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 87823/184320000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 923/22118400], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 25439/1486356480], [[[1, 7], [2, 4], [4, 1], [6, 2], [16, 1]], 571/141557760], [[[1, 7], [2, 4], [4, 1], [6, 3], [7, 1]], 47/9953280], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 277/1911029760], [[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 701/6021120], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 4717/589824000], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 15083/283115520], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 137117/3303014400], [[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 793/94371840], [[[1, 7], [2, 4], [4, 1], [10, 1], [16, 1]], 5227/353894400], [[[1, 7], [2, 4], [4, 1], [10, 2], [12, 1]], 31/110592000], [[[1, 7], [2, 4], [4, 1], [12, 1], [16, 1]], 5/786432], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 47/8847360], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 717/2293760], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 12847/103219200], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 27289/176947200], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 168331/1132462080], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 3631/884736000], [[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 19/5308416], [[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 671/23592960], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 23/655360], [[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 31/8847360], [[[1, 7], [2, 4], [4, 2], [6, 2], [18, 1]], 443/159252480], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 2057/637009920], [[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 103/265420800], [[[1, 7], [2, 4], [4, 2], [6, 3], [12, 1]], 271/143327232], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 128887/198180864], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 2201/17203200], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 311/2064384], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 202603/2312110080], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 37/2867200], [[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 1609/92897280], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 84193/3185049600], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 1628371/2831155200], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 337043/1769472000], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 13489/66355200], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 46061/495452160], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 5081/371589120], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 3409/637009920], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 1771/79626240], [[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 269/159252480], [[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 23861/1486356480], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 1028789/8493465600], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 622219/2717908992], [[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 23209/619315200], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 94481/1415577600], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 949213/11890851840], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 180017/16986931200], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 131761/2548039680], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 841/29491200], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 119/17280000], [[[1, 7], [2, 4], [5, 1], [6, 1], [16, 1]], 31/1474560], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 13/322560], [[[1, 7], [2, 4], [5, 1], [6, 2], [14, 1]], 19/4838400], [[[1, 7], [2, 4], [5, 1], [6, 2], [18, 1]], 1/276480], [[[1, 7], [2, 4], [5, 1], [6, 3], [8, 1]], 329/99532800], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 23/20736000], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 923/10321920], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 251/1290240], [[[1, 7], [2, 4], [5, 1], [8, 1], [14, 1]], 1363/51609600], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 431/32256000], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 151/2949120], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 977/9216000], [[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 31/1806336], [[[1, 7], [2, 4], [6, 1], [7, 1], [18, 1]], 5/258048], [[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 31/73728000], [[[1, 7], [2, 4], [6, 1], [8, 1], [16, 1]], 7/1572864], [[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 1403/353894400], [[[1, 7], [2, 4], [6, 1], [10, 1], [16, 1]], 31/44236800], [[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 1/11612160], [[[1, 7], [2, 4], [6, 2], [7, 1], [8, 1]], 869/46448640], [[[1, 7], [2, 4], [6, 2], [7, 1], [10, 1]], 11/1935360], [[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 31/92897280], [[[1, 7], [2, 4], [6, 2], [8, 1], [18, 1]], 31/39813120], [[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/58060800], [[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 1/24883200], [[[1, 7], [2, 4], [7, 1], [8, 1], [10, 1]], 1811/51609600], [[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 31/51609600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 52499/589824000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 54047/2866544640], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 229843/1415577600], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 281/3932160], [[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 1186211/16986931200], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 518537/3822059520], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 885779/3963617280], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 631733/5096079360], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 198899/990904320], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 1022471/4246732800], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 173405/509607936], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 4139933/6794772480], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 7733557/33973862400], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 2108393/11324620800], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 3615671/10871635968], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 24499/298598400], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 2267/66355200], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 3409/199065600], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 91/1105920], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 46649/442368000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 25043/424673280], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 8359/221184000], [[[1, 7], [2, 6], [3, 1], [6, 1], [16, 1]], 7553/141557760], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 38545/222953472], [[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 233/10616832], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 193/3440640], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 1157/23887872], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 82289/1911029760], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 7271/298598400], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 19393/495452160], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 8123/103219200], [[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 649/42467328], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 4519/123863040], [[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 781/26542080], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 619/19353600], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 168239/477757440], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 123103/1486356480], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 22073/318504960], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 33289/297271296], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 302777/2123366400], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 4426883/5096079360], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 622319/1887436800], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 842029/4246732800], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 32353/382205952], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 4048369/7644119040], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 13753/39813120], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 15953/424673280], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 44603/442368000], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 28369/185794560], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 7553/79626240], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 25043/159252480], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 875/31850496], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 136267/637009920], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 41719/199065600], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 91693/2123366400], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 12929/398131200], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 166117/286654464], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 125531/1911029760], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 118691/1911029760], [[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 4393/382205952], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 488941/1528823808], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 977/11059200], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 1015151/11466178560], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 7073/59719680], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 207679/2866544640], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 46457/1592524800], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 7043/58982400], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 202247/1238630400], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 224987/1769472000], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1352143/11890851840], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 152177/6193152000], [[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 244567/5662310400], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 21523/247726080], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 38419/1734082560], [[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 3079/159252480], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 41881/1911029760], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 29371/4180377600], [[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 10319/2866544640], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 360743/1981808640], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 104003/619315200], [[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 31/1376256], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 208003/1981808640], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 6977/173408256], [[[1, 7], [2, 6], [4, 1], [12, 1], [14, 1]], 2371/185794560], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 13553/94371840], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 60597437/113246208000], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 6729997/14155776000], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 59551/589824000], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 14321/66060288], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 41593/440401920], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 321743/5096079360], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 209101/1321205760], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 90137/2123366400], [[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 4051/95551488], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 5874703/17616076800], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 3630287/33973862400], [[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 313189/5308416000], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 5044531/20384317440], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 8213461/20384317440], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 382087/3567255552], [[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 6115961/47563407360], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 103/1612800], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 5011/103219200], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 709/26542080], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 3989/117964800], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 5957/132710400], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 533/7372800], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 16453/371589120], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 433/7741440], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 11153/743178240], [[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 2419/318504960], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 3413/464486400], [[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 961/199065600], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 4067/353894400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 18729523/114661785600], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 155527/4954521600], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 196211/12740198400], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 2313727/29727129600], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 52855/679477248], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 45046681/101921587200], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 36472591/190253629440], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 25049813/148635648000], [[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 946523/26424115200], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 1017607/2548039680], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 190217/1990656000], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 163351/14155776000], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 44923/1061683200], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 1484389/31213486080], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 6089/637009920], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 553687/7431782400], [[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 107141/9555148800], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 865727/12740198400], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 779843/7962624000], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 970909/42467328000], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 1876529/89181388800], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 5655389/12740198400], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 49814249/1141521776640], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 160889/2654208000], [[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 103403/19110297600], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 30269809/101921587200], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 253933/5573836800], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 25921/530841600], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 1575451/15925248000], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 4194979/53508833280], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 874931/10616832000], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 102067253/1585446912000], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 14121947/106168320000], [[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 214229/31850496000], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 2153717/29727129600], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 825403/11560550400], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 334861/12740198400], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 1900663/22649241600], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 5414477/89181388800], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 12623/1194393600], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 4079167/42467328000], [[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 65348347/11415217766400], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 335129/31850496000], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 7997807/49545216000], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 10442461/38050725888], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 27914101/169869312000], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 54387281/1070176665600], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 904019/42467328000], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1624747/26542080000], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 330481/14155776000], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 1699519/285380444160], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 432735997/4280706662400], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 2143711079/171228266496000], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 45693731/1902536294400], [[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 7111871/5707608883200], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 13007323/122305904640], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 7844419/764411904000], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 121480043/11415217766400], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 26680219/891813888000], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 61560763/1712282664960], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 209778179/9512681472000], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 218495377/6849130659840], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 40373959/891813888000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 55893389/17122826649600], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 3991524031/513684799488000], [[[1, 7], [3, 1], [4, 1], [7, 1], [16, 1]], 1/129024], [[[1, 7], [3, 1], [4, 2], [5, 1], [8, 2]], 31/5898240], [[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 13/691200], [[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/64512], [[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 11/11796480], [[[1, 7], [3, 1], [4, 2], [8, 2], [12, 1]], 7/5898240], [[[1, 7], [3, 1], [4, 3], [7, 1], [8, 1]], 85/24772608], [[[1, 7], [3, 1], [4, 3], [8, 1], [9, 1]], 7/3538944], [[[1, 7], [3, 1], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040], [[[1, 7], [3, 2], [4, 1], [5, 1], [16, 1]], 1/92160], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 7/460800], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/64512], [[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/46080], [[[1, 7], [3, 2], [4, 2], [7, 1], [12, 1]], 1/96768], [[[1, 7], [3, 2], [4, 2], [9, 1], [12, 1]], 1/124416], [[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 19/4423680], [[[1, 7], [3, 2], [4, 3], [8, 1], [12, 1]], 59/21233664], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/82944], [[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/82944], [[[1, 7], [3, 3], [4, 2], [5, 1], [12, 1]], 1/155520], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040], [[[1, 7], [3, 4], [4, 1], [8, 1], [12, 1]], 1/995328], [[[1, 7], [4, 1], [5, 2], [8, 1], [12, 1]], 1/230400], [[[1, 7], [4, 2], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 7], [4, 3], [5, 1], [8, 1], [12, 1]], 107/29491200], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/19200], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 1/25088], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 5219/1981808640], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1709/88473600], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 467/188743680], [[[1, 8], [2, 1], [3, 1], [4, 3], [12, 2]], 1/983040], [[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 13/18874368], [[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 2887/1981808640], [[[1, 8], [2, 1], [3, 1], [4, 4], [9, 1]], 1381/2548039680], [[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 881/471859200], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 6593/9512681472], [[[1, 8], [2, 1], [3, 1], [4, 5], [10, 1]], 11/209715200], [[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 2003/1132462080], [[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 53/6794772480], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 53/403200], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 7/86400], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/72000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/56448], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 3]], 1/5242880], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 2]], 277/41287680], [[[1, 8], [2, 1], [3, 1], [7, 1], [16, 1]], 1/129024], [[[1, 8], [2, 1], [3, 1], [8, 2], [9, 1]], 31/53084160], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 257/14745600], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1063/113246208], [[[1, 8], [2, 1], [3, 2], [4, 2], [16, 1]], 49/7864320], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 269/24772608], [[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 205/15925248], [[[1, 8], [2, 1], [3, 2], [4, 3], [14, 1]], 5/8257536], [[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 4573/2123366400], [[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 9419/3397386240], [[[1, 8], [2, 1], [3, 2], [4, 4], [12, 1]], 457/212336640], [[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 523/5096079360], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 2]], 343/44236800], [[[1, 8], [2, 1], [3, 2], [5, 1], [16, 1]], 1/92160], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/51200], [[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 1/28800], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 1/10368], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 53/2073600], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 77/21233664], [[[1, 8], [2, 1], [3, 3], [4, 1], [16, 1]], 37/8847360], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 65/6193152], [[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 11/884736], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 19/2211840], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 2977/637009920], [[[1, 8], [2, 1], [3, 3], [4, 3], [10, 1]], 31/53084160], [[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 497/95551488], [[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 173/254803968], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/15120], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 1/10368], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 7/172800], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 2]], 11/5308416], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/96768], [[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/82944], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 61/3483648], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/41472], [[[1, 8], [2, 1], [3, 4], [4, 1], [14, 1]], 1/1161216], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/245760], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 167/31850496], [[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 185/71663616], [[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 7/15925248], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 23/4976640], [[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/207360], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/31104], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/31104], [[[1, 8], [2, 1], [3, 4], [8, 1], [10, 1]], 1/1658880], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/311040], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 31/11943936], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 1/1492992], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 5/4478976], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 25/11943936], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/116640], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 5/8957952], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/6718464], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 41/537600], [[[1, 8], [2, 1], [4, 1], [5, 2], [14, 1]], 1/268800], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/288000], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/225792], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 793/165150720], [[[1, 8], [2, 1], [4, 1], [7, 1], [16, 1]], 31/20643840], [[[1, 8], [2, 1], [4, 1], [8, 2], [14, 1]], 1/165150720], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 5537/471859200], [[[1, 8], [2, 1], [4, 2], [5, 1], [16, 1]], 7/1638400], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 437/32768000], [[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/409600], [[[1, 8], [2, 1], [4, 2], [5, 2], [12, 1]], 1363/110592000], [[[1, 8], [2, 1], [4, 2], [8, 1], [12, 2]], 1/53084160], [[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 1429/5284823040], [[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 2353/7927234560], [[[1, 8], [2, 1], [4, 2], [10, 1], [16, 1]], 1/58982400], [[[1, 8], [2, 1], [4, 2], [12, 1], [16, 1]], 1/17694720], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 293/20643840], [[[1, 8], [2, 1], [4, 3], [5, 1], [14, 1]], 1/2293760], [[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 83/88473600], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 61/566231040], [[[1, 8], [2, 1], [4, 3], [6, 1], [12, 2]], 1/79626240], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 3917/495452160], [[[1, 8], [2, 1], [4, 3], [7, 1], [10, 1]], 1/1720320], [[[1, 8], [2, 1], [4, 3], [7, 1], [12, 1]], 23/2293760], [[[1, 8], [2, 1], [4, 3], [12, 1], [14, 1]], 1/61931520], [[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 7901/3774873600], [[[1, 8], [2, 1], [4, 4], [5, 1], [10, 1]], 91/1415577600], [[[1, 8], [2, 1], [4, 4], [5, 1], [12, 1]], 343/176947200], [[[1, 8], [2, 1], [4, 4], [8, 1], [10, 1]], 707/11324620800], [[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 3091/2378170368], [[[1, 8], [2, 1], [4, 5], [5, 1], [6, 1]], 943/16986931200], [[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 683/10192158720], [[[1, 8], [2, 1], [5, 1], [8, 2], [10, 1]], 1/29491200], [[[1, 8], [2, 1], [5, 2], [8, 1], [10, 1]], 1/384000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1411/6553600], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1328389/7927234560], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 151/98304000], [[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 97/26542080], [[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 229/5242880], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 1/5971968], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 6985/74317824], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 3863/70778880], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 2633/165150720], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 339253/5662310400], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 17599/6688604160], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 57517/849346560], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 189751/29727129600], [[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 278123/5945425920], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 319757/47563407360], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 217/7864320], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 359/46080000], [[[1, 8], [2, 3], [3, 1], [5, 1], [16, 1]], 41/983040], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 2453/82944000], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 679/8847360], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 2059/11520000], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 2]], 13367/4459069440], [[[1, 8], [2, 3], [3, 1], [6, 2], [16, 1]], 11/26542080], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/387072], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 11/258048], [[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 277/9031680], [[[1, 8], [2, 3], [3, 1], [8, 1], [10, 2]], 53/73728000], [[[1, 8], [2, 3], [3, 1], [8, 1], [16, 1]], 139/23592960], [[[1, 8], [2, 3], [3, 1], [8, 2], [10, 1]], 2389/619315200], [[[1, 8], [2, 3], [3, 1], [9, 1], [14, 1]], 31/11612160], [[[1, 8], [2, 3], [3, 1], [10, 1], [16, 1]], 11/7372800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 127/737280], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 2599/35389440], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 2]], 367/110592000], [[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1331/28311552], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 193/79626240], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 31/163840], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 23/131072], [[[1, 8], [2, 3], [3, 2], [4, 2], [14, 1]], 3103/123863040], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1085/10616832], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 34819/1911029760], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 106651/849346560], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 821/42467328], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 40883/637009920], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 170689/5096079360], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 23/2488320], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 569/3870720], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 7/61440], [[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 49/1382400], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1157/5529600], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1679/70778880], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 11/13824000], [[[1, 8], [2, 3], [3, 2], [6, 1], [16, 1]], 247/8847360], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 2063/17418240], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 107/4976640], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 11/5806080], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 11/2488320], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 79/29859840], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 415/6193152], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 29/691200], [[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 361/7962624], [[[1, 8], [2, 3], [3, 2], [8, 1], [14, 1]], 43/15482880], [[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 37/1382400], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1307/107495424], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 127/1161216], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 257/1990656], [[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 25/1741824], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 14989/159252480], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 19187/358318080], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 44969/382205952], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 3329/132710400], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 10937/238878720], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 59831/955514880], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 7631/44789760], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 289/6635520], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 209/3110400], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 425/2322432], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 55/331776], [[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 7/552960], [[[1, 8], [2, 3], [3, 3], [6, 1], [18, 1]], 37/4976640], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 3577/89579520], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 11/2488320], [[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 41/4976640], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 2033/59719680], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 3065/35831808], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 4573/127401984], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 29/2211840], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 115/11943936], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 42115/573308928], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 67/829440], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 839/23887872], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1193/89579520], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 1123/35831808], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 109369/1415577600], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 749/184320000], [[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 5381/117964800], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 863/110592000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 119089/589824000], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 3297/20480000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 677/22118400], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 317/371589120], [[[1, 8], [2, 3], [4, 1], [6, 2], [16, 1]], 109/1321205760], [[[1, 8], [2, 3], [4, 1], [6, 3], [7, 1]], 29/69672960], [[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 131/6021120], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 4901/16515072000], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 2099/283115520], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1453/367001600], [[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 29/18874368], [[[1, 8], [2, 3], [4, 1], [10, 1], [16, 1]], 2717/3303014400], [[[1, 8], [2, 3], [4, 1], [10, 2], [12, 1]], 1/110592000], [[[1, 8], [2, 3], [4, 1], [12, 1], [16, 1]], 31/35389440], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 10883/51609600], [[[1, 8], [2, 3], [4, 2], [5, 1], [14, 1]], 131/5160960], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 44621/884736000], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 552677/31708938240], [[[1, 8], [2, 3], [4, 2], [6, 1], [12, 2]], 31/79626240], [[[1, 8], [2, 3], [4, 2], [6, 1], [16, 1]], 377/141557760], [[[1, 8], [2, 3], [4, 2], [6, 2], [7, 1]], 47/15482880], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 31/318504960], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 50611/198180864], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 3067/103219200], [[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 587/10321920], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 4301/770703360], [[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 31/103219200], [[[1, 8], [2, 3], [4, 2], [12, 1], [14, 1]], 1/967680], [[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 10213/3185049600], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 225581/1321205760], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 51781/1769472000], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 18751/265420800], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 10307/495452160], [[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 211/185794560], [[[1, 8], [2, 3], [4, 3], [6, 1], [18, 1]], 211/637009920], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 103667/71345111040], [[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 191/1592524800], [[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 421/297271296], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 79939/4954521600], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 2779447/63417876480], [[[1, 8], [2, 3], [4, 3], [10, 1], [12, 1]], 701/154828800], [[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 18263/2123366400], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 52679/7927234560], [[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 5161/16986931200], [[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 2657/445906944], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 2]], 191/29491200], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/13824000], [[[1, 8], [2, 3], [5, 1], [6, 1], [16, 1]], 1/491520], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 47/4147200], [[[1, 8], [2, 3], [5, 1], [6, 3], [8, 1]], 29/99532800], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 677/10321920], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 2441/32256000], [[[1, 8], [2, 3], [5, 1], [8, 1], [14, 1]], 19/7372800], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 1/6451200], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 281/14745600], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 2263/138240000], [[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 31/27095040], [[[1, 8], [2, 3], [6, 1], [7, 1], [18, 1]], 31/11612160], [[[1, 8], [2, 3], [6, 1], [8, 1], [10, 2]], 1/73728000], [[[1, 8], [2, 3], [6, 1], [8, 1], [16, 1]], 31/70778880], [[[1, 8], [2, 3], [6, 1], [8, 2], [10, 1]], 19/70778880], [[[1, 8], [2, 3], [6, 1], [10, 1], [16, 1]], 1/44236800], [[[1, 8], [2, 3], [6, 2], [7, 1], [8, 1]], 89/46448640], [[[1, 8], [2, 3], [6, 2], [8, 1], [14, 1]], 1/92897280], [[[1, 8], [2, 3], [6, 2], [8, 1], [18, 1]], 1/39813120], [[[1, 8], [2, 3], [7, 1], [8, 1], [10, 1]], 341/51609600], [[[1, 8], [2, 3], [8, 1], [10, 1], [14, 1]], 1/51609600], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 97163/589824000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 2083/955514880], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 680437/5662310400], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 5771/294912000], [[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 7229/125829120], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 14491/594542592], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 159889/566231040], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 631733/5096079360], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 160891/1734082560], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 1192949/4246732800], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 609533/5945425920], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 22183723/47563407360], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 3412591/33973862400], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 4735489/33973862400], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 521270423/3424565329920], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1051/37324800], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 977/12386304], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 781/26542080], [[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 1199/19353600], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 191867/1327104000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 215099/7134511104], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 28123/4644864000], [[[1, 8], [2, 5], [3, 1], [6, 1], [16, 1]], 1157/42467328], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 17623/185794560], [[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 2057/238878720], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 18313/1950842880], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 451/39813120], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 6167/637009920], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 2683/1045094400], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 8563/165150720], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 2003/30965760], [[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 649/42467328], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 583/41287680], [[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 3409/199065600], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1859/270950400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 46937/477757440], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 3553/23592960], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 35969/318504960], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 112349/1486356480], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 340861/1415577600], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 1003447/2548039680], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 678259/1887436800], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 93827/707788800], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 113707/1274019840], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 584765/1528823808], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 56381/199065600], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 41623/707788800], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 153329/1327104000], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 116719/557383680], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 7553/79626240], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 2651/37158912], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1363/79626240], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 17117/159252480], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 12041/199065600], [[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 59437/2123366400], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 30691/398131200], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 644971/1433272320], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 37979/382205952], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 120707/1911029760], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 2195/127401984], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 1663879/4586471424], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 13981/89579520], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 1063439/11466178560], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 12403/149299200], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 73489/573308928], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 9269/1592524800], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 74213/412876800], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 102551/1238630400], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 194579/1769472000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 139937/3397386240], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 18113/6193152000], [[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 196313/15854469120], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 26381/743178240], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 1373/578027520], [[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 311/159252480], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 12449/3822059520], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 157/261273600], [[[1, 8], [2, 5], [4, 1], [6, 3], [12, 1]], 1451/2866544640], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 330539/1981808640], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 55607/619315200], [[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 29/1376256], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 55375/1849688064], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 27509/4335206400], [[[1, 8], [2, 5], [4, 1], [12, 1], [14, 1]], 91/26542080], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 736031/14863564800], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 51411887/113246208000], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 23670373/99090432000], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 93163/1061683200], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 29297/247726080], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 119783/6165626880], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 333439/23781703680], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 89059/2378170368], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 367763/59454259200], [[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 6649/660602880], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 5679343/52848230400], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 623879/11324620800], [[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 247649/14863564800], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 2614057/20384317440], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 7692169/57076088832], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 2042773/89181388800], [[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 320813/6794772480], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 7169/116121600], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 733/51609600], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 827/66355200], [[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 14057/1061683200], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 1241/132710400], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 63907/1769472000], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 9871/371589120], [[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 373/19353600], [[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 2081/743178240], [[[1, 8], [2, 5], [6, 1], [8, 1], [18, 1]], 511/318504960], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 943/1445068800], [[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 109/206438400], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 23/14155776], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 4194979/53508833280], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 825403/11560550400], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 334861/12740198400], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 2153717/29727129600], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 27914101/169869312000], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 30269809/101921587200], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 10442461/38050725888], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 7997807/49545216000], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 54387281/1070176665600], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 1017607/2548039680], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 1575451/15925248000], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 330481/14155776000], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1624747/26542080000], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 553687/7431782400], [[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 107141/9555148800], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 1484389/31213486080], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 6089/637009920], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 25921/530841600], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 253933/5573836800], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 904019/42467328000], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 5414477/89181388800], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 5655389/12740198400], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 1900663/22649241600], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 874931/10616832000], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 12623/1194393600], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 45046681/101921587200], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 779843/7962624000], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 865727/12740198400], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 190217/1990656000], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 18729523/114661785600], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 160889/2654208000], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 4079167/42467328000], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 14121947/106168320000], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 335129/31850496000], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 2313727/29727129600], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 155527/4954521600], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 196211/12740198400], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 49814249/1141521776640], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 1876529/89181388800], [[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 103403/19110297600], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 102067253/1585446912000], [[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 65348347/11415217766400], [[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 214229/31850496000], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 25049813/148635648000], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 36472591/190253629440], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 52855/679477248], [[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 946523/26424115200], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 970909/42467328000], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 44923/1061683200], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 163351/14155776000], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 138591979/7134511104000], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 85024873/713451110400], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 748859051/26635508121600], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 17604373/452984832000], [[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 48796507/17122826649600], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 100978139/570760888320], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 42892343/1783627776000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 66810707/3805072588800], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 2536729/74317824000], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 242876303/2853804441600], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 358882637/9512681472000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 3051530113/79906524364800], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 8447239/222953472000], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 66834203/17122826649600], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 22594672013/1198597865472000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 6787/98304000], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 21799/1132462080], [[[1, 9], [2, 2], [3, 1], [4, 2], [10, 2]], 31/294912000], [[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 7/26542080], [[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 2087/528482304], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 2159/123863040], [[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 3409/637009920], [[[1, 9], [2, 2], [3, 1], [4, 3], [14, 1]], 13/33030144], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 70939/5662310400], [[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 137/3344302080], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 215057/27179089920], [[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 17971/29727129600], [[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 5387/849346560], [[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 9797/35672555520], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 149/23592960], [[[1, 9], [2, 2], [3, 1], [5, 1], [10, 2]], 1/5120000], [[[1, 9], [2, 2], [3, 1], [5, 1], [16, 1]], 139/14745600], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 143/82944000], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 583/24576000], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 419/11520000], [[[1, 9], [2, 2], [3, 1], [6, 2], [8, 2]], 431/4459069440], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 5/258048], [[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 3/1003520], [[[1, 9], [2, 2], [3, 1], [8, 1], [16, 1]], 1/2621440], [[[1, 9], [2, 2], [3, 1], [8, 2], [10, 1]], 163/619315200], [[[1, 9], [2, 2], [3, 1], [9, 1], [14, 1]], 1/11612160], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 11359/110592000], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 427/35389440], [[[1, 9], [2, 2], [3, 2], [4, 1], [16, 1]], 377/47185920], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 67/1474560], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 719/17694720], [[[1, 9], [2, 2], [3, 2], [4, 2], [14, 1]], 59/17694720], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 6979/265420800], [[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 47/79626240], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 481/26542080], [[[1, 9], [2, 2], [3, 2], [4, 3], [10, 1]], 119/117964800], [[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 11321/891813888], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 14467/7134511104], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 47/430080], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 41/552960], [[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 43/9676800], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 2351/27648000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 4817/1486356480], [[[1, 9], [2, 2], [3, 2], [6, 1], [16, 1]], 11/4423680], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 79/8709120], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 11/14929920], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 125/6193152], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 23/4838400], [[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 139/13271040], [[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 11/4147200], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 271/4354560], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 49/737280], [[[1, 9], [2, 2], [3, 3], [4, 1], [14, 1]], 37/15482880], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 1219/31850496], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1969/716636160], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 3629/127401984], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 469/132710400], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 2393/238878720], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 869/95551488], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 1307/44789760], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 3649/199065600], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 463/24883200], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 2591/34836480], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 247/4976640], [[[1, 9], [2, 2], [3, 3], [6, 1], [14, 1]], 11/34836480], [[[1, 9], [2, 2], [3, 3], [6, 1], [18, 1]], 11/14929920], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 23/9953280], [[[1, 9], [2, 2], [3, 3], [8, 1], [10, 1]], 37/22118400], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 1063/39813120], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 65/17915904], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 6025/382205952], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 1411/597196800], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 1411/358318080], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 28331/2866544640], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 91/1866240], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 5311/716636160], [[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 29/89579520], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 983/71663616], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 128357/13212057600], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/18432000], [[[1, 9], [2, 2], [4, 1], [5, 1], [16, 1]], 13/2621440], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 31469/589824000], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 2873/184320000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 803/110592000], [[[1, 9], [2, 2], [4, 1], [6, 2], [16, 1]], 29/11890851840], [[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 31/36126720], [[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 47/5505024000], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 2747/7927234560], [[[1, 9], [2, 2], [4, 1], [8, 2], [10, 1]], 6191/39636172800], [[[1, 9], [2, 2], [4, 1], [8, 2], [12, 1]], 1037/7927234560], [[[1, 9], [2, 2], [4, 1], [10, 1], [16, 1]], 17/660602880], [[[1, 9], [2, 2], [4, 1], [12, 1], [16, 1]], 1/35389440], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 2497/51609600], [[[1, 9], [2, 2], [4, 2], [5, 1], [14, 1]], 29/12902400], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 5171/884736000], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 12277/31708938240], [[[1, 9], [2, 2], [4, 2], [6, 1], [12, 2]], 1/79626240], [[[1, 9], [2, 2], [4, 2], [6, 1], [16, 1]], 1207/23781703680], [[[1, 9], [2, 2], [4, 2], [6, 2], [7, 1]], 13/61931520], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 358157/9248440320], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 307/103219200], [[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 247/30965760], [[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 1429/9248440320], [[[1, 9], [2, 2], [4, 2], [10, 1], [14, 1]], 1/103219200], [[[1, 9], [2, 2], [4, 2], [12, 1], [14, 1]], 1/30965760], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 272033/19818086400], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 2183/1769472000], [[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 3229/309657600], [[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 533/743178240], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 73/2642411520], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 3673/9909043200], [[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 10915/4227858432], [[[1, 9], [2, 2], [4, 3], [10, 1], [12, 1]], 17/132710400], [[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 1631/2123366400], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 149047/570760888320], [[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 281/16986931200], [[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 3517/8918138880], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 2]], 13/29491200], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 29/29030400], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 803/51609600], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 271/32256000], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 803/221184000], [[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 133/138240000], [[[1, 9], [2, 2], [6, 1], [7, 1], [14, 1]], 1/27095040], [[[1, 9], [2, 2], [6, 1], [7, 1], [18, 1]], 1/11612160], [[[1, 9], [2, 2], [6, 1], [8, 1], [16, 1]], 1/70778880], [[[1, 9], [2, 2], [6, 1], [8, 2], [10, 1]], 1/117964800], [[[1, 9], [2, 2], [7, 1], [8, 1], [10, 1]], 31/51609600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 48349/294912000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 23/238878720], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 702649/15854469120], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 62431/24772608000], [[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 8833/377487360], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 164809/107017666560], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 722917/3963617280], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 321743/5096079360], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 109/5160960], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 1590487/9909043200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 274487/21403533312], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 897173/5284823040], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 10547821/475634073600], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 14352997/285380444160], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 203870407/6849130659840], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 19/4147200], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 5821/61931520], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 709/26542080], [[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 37/1612800], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 13169/132710400], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 554219/71345111040], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 7831/18579456000], [[[1, 9], [2, 4], [3, 1], [6, 1], [16, 1]], 451/70778880], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 4387/185794560], [[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 127/79626240], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 649/1114767360], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 383/371589120], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 43493/53508833280], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 137/2090188800], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 8419/247726080], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 149/5734400], [[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 2419/318504960], [[[1, 9], [2, 4], [3, 1], [8, 1], [14, 1]], 499/216760320], [[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 961/199065600], [[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 137/270950400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 111203/10032906240], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 108167/743178240], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 14743/159252480], [[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 126839/5202247680], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 97543/471859200], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 264097/3567255552], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 1436755/7134511104], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 84661/2123366400], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 12281/254803968], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 686041/5945425920], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 7381/66355200], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 49049/1061683200], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 43969/663552000], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 41351/278691840], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 1157/23887872], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 703/48168960], [[[1, 9], [2, 4], [3, 2], [6, 1], [18, 1]], 133/26542080], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 43409/1672151040], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 10397/1393459200], [[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 13039/1486356480], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 58213/597196800], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 24317/159252480], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 148561/1911029760], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 47681/1592524800], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 12397/955514880], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 2174167/11466178560], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 4073/27993600], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 92849/1911029760], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 3799/149299200], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 105121/955514880], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 22373/44590694400], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 87431/619315200], [[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 3221/160563200], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 169/3932160], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 117379/15854469120], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 2941/24772608000], [[[1, 9], [2, 4], [4, 1], [6, 1], [16, 1]], 9131/6794772480], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 45559/6936330240], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 5357/62426972160], [[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 1207/13377208320], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 589/3822059520], [[[1, 9], [2, 4], [4, 1], [6, 3], [12, 1]], 109/2972712960], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 157943/1981808640], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 44159/1926758400], [[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 1907/185794560], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 98669/27745320960], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 6751/17340825600], [[[1, 9], [2, 4], [4, 1], [12, 1], [14, 1]], 17/46448640], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 19207/2972712960], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 8917367/45298483200], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 3626443/66060288000], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 40033/1061683200], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 19/589824], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 1339/880803840], [[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 7351/7927234560], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 77357/20384317440], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 24203/59454259200], [[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 17089/17836277760], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 5202073/317089382400], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 782653/57076088832], [[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 32059/14863564800], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 2095067/67947724800], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 289067/13589544960], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 89011/44590694400], [[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 794711/95126814720], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 3263/116121600], [[[1, 9], [2, 4], [5, 1], [6, 1], [14, 1]], 271/154828800], [[[1, 9], [2, 4], [5, 1], [6, 1], [18, 1]], 19/7372800], [[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 1433/660602880], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 13081/18579456000], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 208127/24772608000], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 991/123863040], [[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 11/3225600], [[[1, 9], [2, 4], [6, 1], [8, 1], [14, 1]], 1003/4161798144], [[[1, 9], [2, 4], [6, 1], [8, 1], [18, 1]], 1207/8918138880], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 17/867041280], [[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 29/1857945600], [[[1, 9], [2, 4], [6, 2], [8, 1], [10, 1]], 10559/89181388800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 145171/7134511104], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 1371271/14863564800], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 334861/12740198400], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 114263/2972712960], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 33775771/169869312000], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 84323/792723456], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 285173761/1268357529600], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 3119923/37158912000], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 43833599/1070176665600], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 508129/2388787200], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 59917/1061683200], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 1135787/42467328000], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 444319/8847360000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 72121/1061683200], [[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 23837/3185049600], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 265709/15606743040], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 973/212336640], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 174841/8918138880], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 260321/22295347200], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 325939/29727129600], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 28051/283115520], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 46565/191102976], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 18811147/203843174400], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 2754893/44590694400], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 2971/254803968], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 255075589/713451110400], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 79349/663552000], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 7114819/133772083200], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 15779/309657600], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 7287991/38220595200], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 361799/14863564800], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 7082879/84934656000], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 31511/412876800], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 799/84934656], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 262817/5549064192], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 132661/17836277760], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 76057/15288238080], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 2851585/228304355328], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 95863/25480396800], [[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 41467/26754416640], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 12969371/528482304000], [[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 481063/152202903552], [[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 209243/89181388800], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 507143/5308416000], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 171027359/2283043553280], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 987181/47563407360], [[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 10040873/713451110400], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 59989/4404019200], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 1195759/74317824000], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 1150097/356725555200], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 8447239/222953472000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 242876303/2853804441600], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 3051530113/79906524364800], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 358882637/9512681472000], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 66834203/17122826649600], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 100978139/570760888320], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 2536729/74317824000], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 66810707/3805072588800], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 42892343/1783627776000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 85024873/713451110400], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 17604373/452984832000], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 748859051/26635508121600], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 138591979/7134511104000], [[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 48796507/17122826649600], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 6964695569/239719573094400], [[[1, 9], [3, 1], [4, 1], [5, 1], [16, 1]], 1/1638400], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 143/36864000], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 23/5160960], [[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/737280], [[[1, 9], [3, 1], [4, 2], [7, 1], [12, 1]], 1/573440], [[[1, 9], [3, 1], [4, 2], [9, 1], [12, 1]], 1/19906560], [[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 67/117964800], [[[1, 9], [3, 1], [4, 3], [8, 1], [12, 1]], 611/2972712960], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 23/7741440], [[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 11/6635520], [[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 43/16588800], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 13/3981312], [[[1, 9], [3, 3], [4, 1], [8, 1], [12, 1]], 11/39813120], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 29/12902400], [[[1, 9], [4, 1], [7, 1], [8, 1], [12, 1]], 1/30965760], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1037/294912000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 71423/95126814720], [[[1, 10], [2, 1], [3, 1], [4, 2], [16, 1]], 467/2642411520], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 103/61931520], [[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 211/637009920], [[[1, 10], [2, 1], [3, 1], [4, 3], [14, 1]], 1/55050240], [[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 7681/29727129600], [[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 5219/27179089920], [[[1, 10], [2, 1], [3, 1], [4, 4], [12, 1]], 2563/17836277760], [[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 683/142690222080], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 2]], 499/619315200], [[[1, 10], [2, 1], [3, 1], [5, 1], [16, 1]], 1/1638400], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 53/24576000], [[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 1/512000], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 31/11612160], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 2059/110592000], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 43/70778880], [[[1, 10], [2, 1], [3, 2], [4, 1], [16, 1]], 89/264241152], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 17/5898240], [[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 13/10616832], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1853/530841600], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 25159/23781703680], [[[1, 10], [2, 1], [3, 2], [4, 3], [10, 1]], 1/14155776], [[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 5281/4459069440], [[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 107/2229534720], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 25/774144], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 139/8294400], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 143/13824000], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 2]], 137/743178240], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 11/6193152], [[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 1/1474560], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 11/1244160], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 61/6635520], [[[1, 10], [2, 1], [3, 3], [4, 1], [14, 1]], 11/46448640], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 271/79626240], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 115/63700992], [[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 67/62705664], [[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 119/955514880], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 469/199065600], [[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 11/8294400], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 23/2903040], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 11/2488320], [[[1, 10], [2, 1], [3, 3], [8, 1], [10, 1]], 11/66355200], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 259/39813120], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 4771/1911029760], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 151/597196800], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 151/358318080], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 13/14929920], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 13/1492992], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 151/716636160], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 5/23887872], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 4261/13212057600], [[[1, 10], [2, 1], [4, 1], [5, 1], [16, 1]], 1207/9909043200], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 27319/5505024000], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 53/184320000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 53/110592000], [[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 1/36126720], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 59/7927234560], [[[1, 10], [2, 1], [4, 1], [8, 2], [10, 1]], 143/39636172800], [[[1, 10], [2, 1], [4, 1], [8, 2], [12, 1]], 29/7927234560], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 47/25804800], [[[1, 10], [2, 1], [4, 2], [6, 1], [16, 1]], 31/23781703680], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 813/1027604480], [[[1, 10], [2, 1], [4, 2], [7, 1], [12, 1]], 17/46448640], [[[1, 10], [2, 1], [4, 2], [8, 1], [14, 1]], 29/9248440320], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 36041/59454259200], [[[1, 10], [2, 1], [4, 3], [5, 1], [10, 1]], 1/29491200], [[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 73/103219200], [[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 29/743178240], [[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 204077/2853804441600], [[[1, 10], [2, 1], [4, 3], [10, 1], [12, 1]], 1/265420800], [[[1, 10], [2, 1], [4, 4], [6, 1], [8, 1]], 401/114152177664], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 53/51609600], [[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/6451200], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 53/221184000], [[[1, 10], [2, 1], [7, 1], [8, 1], [10, 1]], 1/51609600], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 8143/98304000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 8797/1132462080], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 2]], 3127/24772608000], [[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 186083/47563407360], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 311/7134511104], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 579623/11098128384], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 333439/23781703680], [[[1, 10], [2, 3], [3, 1], [4, 2], [14, 1]], 12541/5945425920], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 365629/9909043200], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 7447/15288238080], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 7338689/285380444160], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 204371/95126814720], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 2465191/285380444160], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 5289967/2283043553280], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 23/99532800], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 8807/154828800], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 827/66355200], [[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 499/135475200], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 7087/221184000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 449/445906944], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 29/6193152000], [[[1, 10], [2, 3], [3, 1], [6, 1], [16, 1]], 383/660602880], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 7153/3121348608], [[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 109/743178240], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 29/2601123840], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 29/1114767360], [[[1, 10], [2, 3], [3, 1], [6, 3], [8, 1]], 989/53508833280], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 2483/247726080], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 18293/4335206400], [[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 511/318504960], [[[1, 10], [2, 3], [3, 1], [8, 1], [14, 1]], 53/433520640], [[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 109/206438400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 703/2006581248], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 53051/743178240], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 131/3538944], [[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 17891/5202247680], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 1235623/14863564800], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 147839/30576476160], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 1872317/35672555520], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 15961/2831155200], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 7337/637009920], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 116381/8918138880], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 75797/4180377600], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 18797/1061683200], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 78467/4644864000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 1597/30965760], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 451/39813120], [[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 817/743178240], [[[1, 10], [2, 3], [3, 2], [6, 1], [18, 1]], 89/148635648], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 73139/26754416640], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 137/348364800], [[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 10847/7431782400], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 1169/18662400], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 179941/10032906240], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 45083/1486356480], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 2911/530841600], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 4609/955514880], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 81643/2293235712], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 20611/298598400], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 148643/13377208320], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 16511/6270566400], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 121709/2866544640], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 1037/44590694400], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 6799/123863040], [[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 2809/1445068800], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 617/98304000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 233/371589120], [[[1, 10], [2, 3], [4, 1], [6, 1], [10, 2]], 17/4954521600], [[[1, 10], [2, 3], [4, 1], [6, 1], [16, 1]], 3193/47563407360], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 8941/20808990720], [[[1, 10], [2, 3], [4, 1], [6, 2], [14, 1]], 149/62426972160], [[[1, 10], [2, 3], [4, 1], [6, 2], [18, 1]], 31/13377208320], [[[1, 10], [2, 3], [4, 1], [6, 3], [12, 1]], 29/26754416640], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 506557/27745320960], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 2897/1156055040], [[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 59/26542080], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 66203/416179814400], [[[1, 10], [2, 3], [4, 1], [10, 1], [14, 1]], 199/17340825600], [[[1, 10], [2, 3], [4, 1], [12, 1], [14, 1]], 1/92897280], [[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 4943/19818086400], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 12472547/317089382400], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 39751/7927234560], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 105857/14863564800], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 161783/41617981440], [[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 89/2642411520], [[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 779/71345111040], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 13859/142690222080], [[[1, 10], [2, 3], [4, 2], [6, 2], [12, 1]], 2291/57330892800], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 298427/317089382400], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 439907/285380444160], [[[1, 10], [2, 3], [4, 2], [10, 1], [12, 1]], 29509/222953472000], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1360463/475634073600], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 412823/285380444160], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1123/11147673600], [[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 23393/40768634880], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 47/9676800], [[[1, 10], [2, 3], [5, 1], [6, 1], [14, 1]], 1207/13005619200], [[[1, 10], [2, 3], [5, 1], [6, 1], [18, 1]], 1207/5573836800], [[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 3277/29727129600], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 29/3715891200], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 2351/2477260800], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 157/123863040], [[[1, 10], [2, 3], [6, 1], [7, 1], [10, 1]], 17/58060800], [[[1, 10], [2, 3], [6, 1], [8, 1], [14, 1]], 143/20808990720], [[[1, 10], [2, 3], [6, 1], [8, 1], [18, 1]], 31/8918138880], [[[1, 10], [2, 3], [6, 2], [8, 1], [10, 1]], 311/89181388800], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 55385/21403533312], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 113599/1651507200], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 196211/12740198400], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 22865/2080899072], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 21397907/158544691200], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 3266495/171228266496], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 131416331/1268357529600], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 160553/7134511104], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 1306391/71345111040], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 24462169/428070666240], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 74441/4459069440], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 26791/1572864000], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 848797/37158912000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 2226023/62426972160], [[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 7963/2972712960], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 7297/2312110080], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 31013/26754416640], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 481/111476736], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 26591/16721510400], [[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 22429/7431782400], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 397969/4246732800], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 3709207/53508833280], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 66015469/1141521776640], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 545287/22295347200], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 763/106168320], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 129662873/856141332480], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 2790223/33443020800], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 2443691/107017666560], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 30067/2123366400], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 314257/2548039680], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 152051/29727129600], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 39483233/951268147200], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 1408849/59454259200], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 10043/2123366400], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 182039/11890851840], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 106963/124853944320], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 81793/107017666560], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 15778393/8561413324800], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 54949/178362777600], [[[1, 10], [2, 5], [4, 1], [6, 2], [12, 1]], 4087/17836277760], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 1125349/222953472000], [[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 415831/456608710656], [[[1, 10], [2, 5], [4, 1], [10, 1], [12, 1]], 35423/89181388800], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 78433/2831155200], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 35085893/2283043553280], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 6766801/2378170368000], [[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 19359653/6421059993600], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 75119/16986931200], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 237011/74317824000], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 170663/356725555200], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 40373959/891813888000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 61560763/1712282664960], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 218495377/6849130659840], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 209778179/9512681472000], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 55893389/17122826649600], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 13007323/122305904640], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 26680219/891813888000], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 121480043/11415217766400], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 7844419/764411904000], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 432735997/4280706662400], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 45693731/1902536294400], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 2143711079/171228266496000], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 1699519/285380444160], [[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 7111871/5707608883200], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 6964695569/239719573094400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 86801/4954521600], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 2911/4954521600], [[[1, 11], [2, 2], [3, 1], [4, 1], [16, 1]], 715/3170893824], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 14149/2642411520], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 7351/7927234560], [[[1, 11], [2, 2], [3, 1], [4, 2], [14, 1]], 3859/41617981440], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 247337/89181388800], [[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 137/17836277760], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 315943/285380444160], [[[1, 11], [2, 2], [3, 1], [4, 3], [10, 1]], 6649/158544691200], [[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 3187277/4280706662400], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 2377373/34245653299200], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 93/5734400], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 19/7372800], [[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 53/270950400], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 8783/2064384000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 667/11147673600], [[[1, 11], [2, 2], [3, 1], [6, 1], [16, 1]], 29/1981808640], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 989/15606743040], [[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 29/6688604160], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 25759/20808990720], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 989/4335206400], [[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 1207/8918138880], [[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 29/1857945600], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 300383/20808990720], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 1723/297271296], [[[1, 11], [2, 2], [3, 2], [4, 1], [14, 1]], 89/462422016], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 34507/2972712960], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 3229/42807066624], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 765439/142690222080], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 347/943718400], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 11033/8918138880], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 69389/107017666560], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 703/836075520], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 85573/29727129600], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 4271/2654208000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 19693/2601123840], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 383/371589120], [[[1, 11], [2, 2], [3, 2], [6, 1], [14, 1]], 47/5202247680], [[[1, 11], [2, 2], [3, 2], [6, 1], [18, 1]], 47/2229534720], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 989/8918138880], [[[1, 11], [2, 2], [3, 2], [8, 1], [10, 1]], 89/660602880], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 16537/928972800], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 617/1672151040], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 2095/382205952], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 60479/133772083200], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 60479/80263249920], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 577763/321052999680], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 29249/2090188800], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 149327/160526499840], [[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 101/1567641600], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 100123/20065812480], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 30419/3468165120], [[[1, 11], [2, 2], [4, 1], [5, 1], [14, 1]], 1207/17340825600], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 10279/24772608000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 533/23781703680], [[[1, 11], [2, 2], [4, 1], [6, 1], [16, 1]], 79/47563407360], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 50009/27745320960], [[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 37/309657600], [[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 37/185794560], [[[1, 11], [2, 2], [4, 1], [8, 1], [14, 1]], 1223/416179814400], [[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 61/6606028800], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 13842281/4756340736000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 37211/198180864000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 2921/4954521600], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 8231/41617981440], [[[1, 11], [2, 2], [4, 2], [6, 1], [14, 1]], 47/55490641920], [[[1, 11], [2, 2], [4, 2], [6, 1], [18, 1]], 17/71345111040], [[[1, 11], [2, 2], [4, 2], [6, 2], [12, 1]], 211/200658124800], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 118337/4756340736000], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 101051/1426902220800], [[[1, 11], [2, 2], [4, 2], [10, 1], [12, 1]], 799/222953472000], [[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 70289/1426902220800], [[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 6329/285380444160], [[[1, 11], [2, 2], [4, 3], [6, 1], [12, 1]], 54221/4280706662400], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/3870720], [[[1, 11], [2, 2], [5, 1], [6, 1], [14, 1]], 31/13005619200], [[[1, 11], [2, 2], [5, 1], [6, 1], [18, 1]], 31/5573836800], [[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 227/4128768000], [[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 37/371589120], [[[1, 11], [2, 2], [6, 1], [7, 1], [10, 1]], 1/116121600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 613979/4815794995200], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 3567281/124853944320], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 76057/15288238080], [[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 1909231/1248539443200], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 7599187/158544691200], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 273221/171228266496], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 433426733/17122826649600], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 53771/17836277760], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 37361/8918138880], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 14759183/2140353331200], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 2069/891813888], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 2062153/356725555200], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 2081/393216000], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 634841/62426972160], [[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 1667/3822059520], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 27757/104044953600], [[[1, 11], [2, 4], [3, 1], [6, 1], [18, 1]], 1277/8918138880], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 817987/1605264998400], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 11621/111476736000], [[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 809353/1783627776000], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 50675/1019215872], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 84623/9172942848], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 22701937/1141521776640], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 12767/2786918400], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 127999/53508833280], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 3674183/122305904640], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 1075867/33443020800], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 90263/17836277760], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 82919/44590694400], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 13258921/321052999680], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 701437/1337720832000], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 10717073/951268147200], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 5265713/1486356480000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 111803/89181388800], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 199111/83235962880], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 5941/124853944320], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 8819/178362777600], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 1165973/8561413324800], [[[1, 11], [2, 4], [4, 1], [6, 2], [10, 1]], 11497/891813888000], [[[1, 11], [2, 4], [4, 1], [6, 2], [12, 1]], 6227/401316249600], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 1867339/3567255552000], [[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 44291/326149079040], [[[1, 11], [2, 4], [4, 1], [10, 1], [12, 1]], 1889/63700992000], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 56423/14863564800], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 2866547/1902536294400], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 1173829/7134511104000], [[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 2230451/6421059993600], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 311/377487360], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 8563/24772608000], [[[1, 11], [2, 4], [6, 1], [8, 1], [10, 1]], 59399/1783627776000], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 237634697/7134511104000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 7823177/917294284800], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 111359053/6849130659840], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 128008609/17122826649600], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 1128919/684913065984], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 7817891/211392921600], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 28618109/1783627776000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 392876713/102736959897600], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 6791257/2675441664000], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 1319777141/25684239974400], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 104168551/12230590464000], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 79750717/24461180928000], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 317701/297271296000], [[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 16037869/51368479948800], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 22594672013/1198597865472000], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 989/6936330240], [[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 29/2972712960], [[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 53/464486400], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 617/1857945600], [[[1, 11], [3, 2], [4, 1], [8, 1], [12, 1]], 47/5945425920], [[[1, 11], [4, 1], [5, 1], [8, 1], [12, 1]], 31/14863564800], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 5657/4954521600], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1091/79272345600], [[[1, 12], [2, 1], [3, 1], [4, 1], [16, 1]], 49/11324620800], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 6649/55490641920], [[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 779/71345111040], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 12581/89181388800], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 5717/203843174400], [[[1, 12], [2, 1], [3, 1], [4, 3], [10, 1]], 73/52848230400], [[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 122327/4280706662400], [[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 15383/34245653299200], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 25759/13005619200], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 1207/5573836800], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1037/6193152000], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 2]], 379/356725555200], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 1063/20808990720], [[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 31/8918138880], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 19991/20808990720], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 383/1486356480], [[[1, 12], [2, 1], [3, 2], [4, 1], [14, 1]], 47/6936330240], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 8663/25480396800], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 15199/142690222080], [[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 53449/802632499200], [[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 587/107017666560], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 4429/29727129600], [[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 47/1238630400], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 989/2601123840], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 29/1114767360], [[[1, 12], [2, 1], [3, 2], [8, 1], [10, 1]], 47/9909043200], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 1487/928972800], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 2155/5350883328], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 3191/133772083200], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 3191/80263249920], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 2011/35672555520], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 617/696729600], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 3191/160526499840], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 821/20065812480], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 7783/17340825600], [[[1, 12], [2, 1], [4, 1], [5, 1], [14, 1]], 31/17340825600], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 367/24772608000], [[[1, 12], [2, 1], [4, 1], [6, 1], [8, 2]], 1/3170893824], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 3809/59454259200], [[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/309657600], [[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/185794560], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 170291/4756340736000], [[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 17/39636172800], [[[1, 12], [2, 1], [4, 2], [5, 1], [12, 1]], 5317/222953472000], [[[1, 12], [2, 1], [4, 2], [8, 1], [10, 1]], 221/679477248000], [[[1, 12], [2, 1], [4, 2], [8, 1], [12, 1]], 1721/1426902220800], [[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 2147/1426902220800], [[[1, 12], [2, 1], [4, 3], [6, 1], [12, 1]], 1271/4280706662400], [[[1, 12], [2, 1], [5, 1], [8, 1], [10, 1]], 31/24772608000], [[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/371589120], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 797/687970713600], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 742913/124853944320], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 81793/107017666560], [[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 16243/178362777600], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 2174929/285380444160], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 139943/2568423997440], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 50631227/17122826649600], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 10519/49545216000], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 339791/713451110400], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 723337/2140353331200], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 275939/2006581248000], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 69971/71345111040], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 631483/1114767360000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 30397/20808990720], [[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 779/26754416640], [[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 509/62426972160], [[[1, 12], [2, 3], [3, 1], [6, 1], [18, 1]], 49/6370099200], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 23693/802632499200], [[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 379/167215104000], [[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 68623/1783627776000], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 482029/35672555520], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 261211/535088332800], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 3408749/951268147200], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 2369/5945425920], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 239/594542592], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 30206971/12842119987200], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 420551/66886041600], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 97123/178362777600], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 103939/1003290624000], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 1966793/321052999680], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 113/5971968000], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 1888291/1189085184000], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 51619/212336640000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 14927/89181388800], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 4999/27745320960], [[[1, 12], [2, 3], [4, 1], [6, 1], [14, 1]], 19/17836277760], [[[1, 12], [2, 3], [4, 1], [6, 1], [18, 1]], 1/943718400], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 81169/17122826649600], [[[1, 12], [2, 3], [4, 1], [6, 2], [10, 1]], 277/891813888000], [[[1, 12], [2, 3], [4, 1], [6, 2], [12, 1]], 289/802632499200], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 115687/4756340736000], [[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 117787/11415217766400], [[[1, 12], [2, 3], [4, 1], [10, 1], [12, 1]], 323/445906944000], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 19441/74317824000], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 132133/1902536294400], [[[1, 12], [2, 3], [4, 2], [6, 1], [10, 1]], 24967/7134511104000], [[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 21113/1070176665600], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 10667/118908518400], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 22543/1114767360000], [[[1, 12], [2, 3], [6, 1], [8, 1], [10, 1]], 1409/1783627776000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 11664521/792723456000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 13779839/12842119987200], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 167933071/34245653299200], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 116788979/85614133248000], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 185309/380507258880], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 355905793/51368479948800], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 81642193/16052649984000], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 81621811/102736959897600], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 232859/668860416000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 382810699/25684239974400], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 137189599/85614133248000], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 16450373/34245653299200], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 65521/594542592000], [[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 2322283/51368479948800], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 3991524031/513684799488000], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 69823/124853944320], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 8819/178362777600], [[[1, 13], [2, 2], [3, 1], [4, 1], [14, 1]], 7/2831155200], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 3118463/7134511104000], [[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 1019/2568423997440], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 1515719/11415217766400], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1999/297271296000], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 56683/2140353331200], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 14939/2140353331200], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 797/286654464000], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 133487/1783627776000], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 3799/159252480000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 29731/312134860800], [[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 17/26754416640], [[[1, 13], [2, 2], [3, 1], [6, 1], [14, 1]], 19/312134860800], [[[1, 13], [2, 2], [3, 1], [6, 1], [18, 1]], 19/133772083200], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 323/535088332800], [[[1, 13], [2, 2], [3, 1], [8, 1], [10, 1]], 49/28311552000], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 1451789/891813888000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 797/114661785600], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 15319/48922361856], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 713/38220595200], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 713/22932357120], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 738481/12842119987200], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 15377/27869184000], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 1489/57330892800], [[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 1699/1003290624000], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 1513909/4815794995200], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 21461/198180864000], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 191/23592960000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 73/7077888000], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 73/9909043200], [[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 1229/17122826649600], [[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 281/679477248000], [[[1, 13], [2, 2], [4, 1], [8, 1], [12, 1]], 1471/3805072588800], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 109/14155776000], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 10331/6849130659840], [[[1, 13], [2, 2], [4, 2], [6, 1], [10, 1]], 59/792723456000], [[[1, 13], [2, 2], [4, 2], [6, 1], [12, 1]], 1/2378170368], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 73/14155776000], [[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 127/278691840000], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 19674239/5350883328000], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 1788397/25684239974400], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 4137217/4892236185600], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 3679951/28538044416000], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 463097/5707608883200], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 32963869/51368479948800], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 90997/100329062400], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 3210883/34245653299200], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 19367/764411904000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 29171647/12842119987200], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 892519/5707608883200], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 264329/6849130659840], [[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 124289/21403533312000], [[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 9373/2446118092800], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 143314367/73383542784000], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 797/127401984000], [[[1, 13], [3, 1], [4, 1], [8, 1], [12, 1]], 19/356725555200], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 2239/124853944320], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/943718400], [[[1, 14], [2, 1], [3, 1], [4, 1], [14, 1]], 19/416179814400], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 1889/297271296000], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 15893/11415217766400], [[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 5069/6421059993600], [[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 1/17836277760], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 3497/1783627776000], [[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 19/74317824000], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 323/156067430400], [[[1, 14], [2, 1], [3, 1], [8, 1], [10, 1]], 19/594542592000], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 57689/891813888000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 187717/17122826649600], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 67/133772083200], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 67/80263249920], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 331/428070666240], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 797/47775744000], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 67/160526499840], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 7909/4815794995200], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 43627/14269022208000], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 11/82575360000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 11/49545216000], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 11/69363302400], [[[1, 14], [2, 1], [4, 1], [8, 1], [12, 1]], 29/3805072588800], [[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 517/34245653299200], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 11/99090432000], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 91793/191102976000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 57259/25684239974400], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 908239/11415217766400], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 20441/3170893824000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 124237/17122826649600], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 1370041/51368479948800], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 76801/891813888000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 208889/34245653299200], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 14071/16052649984000], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 526159/3210529996800], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 237077/28538044416000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 53539/34245653299200], [[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 493/4280706662400], [[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 3229/17122826649600], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 29346623/102736959897600], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 8333/285380444160], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 367/12842119987200], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 129121/34245653299200], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 16117/85614133248000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 16117/51368479948800], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 11057/25684239974400], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 21239/5350883328000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 20521/102736959897600], [[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 89/8026324992000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 23407/5136847994880], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 22961/85614133248000], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 121/4892236185600], [[[1, 15], [2, 2], [4, 1], [6, 1], [12, 1]], 29/5707608883200], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 795323/34245653299200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 901/1426902220800], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 95293/1198597865472000], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 37/12230590464000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 37/7338354278400], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 11/4280706662400], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 367/5350883328000], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 37/14676708556800], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 19/951268147200], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 383/85614133248000], [[[1, 16], [2, 1], [4, 1], [6, 1], [12, 1]], 1/17122826649600], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 3523693/3595793596416000], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 32971/1797896798208000], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 319/3595793596416000], [[[2, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/24576], [[[2, 3], [4, 1], [6, 1], [8, 3], [14, 1]], 1/86016], [[[2, 3], [4, 1], [6, 1], [8, 3], [18, 1]], 1/36864], [[[2, 3], [4, 1], [6, 2], [8, 2], [16, 1]], 1/147456], [[[2, 3], [4, 1], [6, 2], [8, 3], [12, 1]], 1/221184], [[[2, 3], [4, 1], [8, 2], [10, 1], [16, 1]], 1/40960], [[[2, 3], [4, 1], [8, 3], [10, 1], [12, 1]], 1/61440], [[[2, 3], [4, 2], [8, 1], [14, 1], [16, 1]], 1/14336], [[[2, 3], [4, 2], [8, 2], [12, 1], [14, 1]], 1/21504], [[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/82944], [[[2, 3], [4, 3], [6, 2], [12, 1], [16, 1]], 1/55296], [[[2, 3], [4, 3], [8, 1], [10, 1], [12, 2]], 1/23040], [[[2, 3], [4, 3], [8, 1], [10, 2], [12, 1]], 1/76800], [[[2, 3], [4, 3], [10, 1], [12, 1], [16, 1]], 1/15360], [[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/196608], [[[2, 3], [4, 4], [6, 1], [8, 2], [10, 1]], 1/1474560], [[[2, 3], [4, 4], [6, 1], [8, 2], [12, 1]], 1/98304], [[[2, 3], [4, 5], [6, 1], [8, 1], [14, 1]], 1/4128768], [[[2, 3], [4, 5], [6, 1], [8, 1], [18, 1]], 1/1769472], [[[2, 3], [4, 5], [6, 2], [8, 1], [12, 1]], 17/10616832], [[[2, 3], [4, 5], [8, 1], [10, 1], [12, 1]], 17/2949120], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816], [[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/589824], [[[2, 5], [4, 1], [6, 1], [8, 3], [10, 1]], 1/122880], [[[2, 5], [4, 1], [6, 1], [8, 3], [12, 1]], 1/884736], [[[2, 5], [4, 1], [6, 1], [10, 2], [16, 1]], 1/19200], [[[2, 5], [4, 1], [6, 2], [14, 1], [16, 1]], 1/32256], [[[2, 5], [4, 1], [6, 3], [10, 1], [16, 1]], 1/69120], [[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800], [[[2, 5], [4, 1], [10, 1], [14, 1], [16, 1]], 1/8960], [[[2, 5], [4, 2], [6, 1], [8, 2], [14, 1]], 13/688128], [[[2, 5], [4, 2], [6, 1], [8, 2], [18, 1]], 5/294912], [[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/147456], [[[2, 5], [4, 2], [6, 2], [8, 2], [10, 1]], 1/147456], [[[2, 5], [4, 2], [6, 2], [8, 2], [12, 1]], 1/147456], [[[2, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 1/172800], [[[2, 5], [4, 2], [6, 3], [12, 1], [14, 1]], 1/72576], [[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 1/31104], [[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/61440], [[[2, 5], [4, 2], [8, 2], [10, 1], [12, 1]], 7/368640], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 2]], 11/1843200], [[[2, 5], [4, 3], [6, 1], [8, 1], [12, 2]], 1/331776], [[[2, 5], [4, 3], [6, 1], [10, 1], [16, 1]], 1/81920], [[[2, 5], [4, 3], [6, 1], [12, 1], [16, 1]], 1/221184], [[[2, 5], [4, 3], [6, 2], [8, 1], [14, 1]], 5/774144], [[[2, 5], [4, 3], [6, 2], [8, 1], [18, 1]], 1/110592], [[[2, 5], [4, 3], [6, 3], [8, 1], [10, 1]], 1/829440], [[[2, 5], [4, 3], [6, 3], [8, 1], [12, 1]], 11/1990656], [[[2, 5], [4, 3], [8, 1], [10, 1], [14, 1]], 1/107520], [[[2, 5], [4, 3], [8, 1], [12, 1], [14, 1]], 11/516096], [[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/2580480], [[[2, 5], [4, 4], [6, 1], [10, 1], [18, 1]], 1/1105920], [[[2, 5], [4, 4], [6, 1], [12, 1], [14, 1]], 1/258048], [[[2, 5], [4, 4], [6, 1], [12, 1], [18, 1]], 1/110592], [[[2, 5], [4, 4], [6, 2], [10, 1], [12, 1]], 1/276480], [[[2, 5], [4, 5], [6, 1], [8, 1], [10, 1]], 11/11796480], [[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 107/42467328], [[[2, 5], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760], [[[2, 5], [6, 1], [8, 2], [10, 1], [18, 1]], 1/23040], [[[2, 7], [4, 1], [6, 1], [14, 1], [16, 1]], 1/129024], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 7/460800], [[[2, 7], [4, 1], [6, 2], [10, 1], [16, 1]], 1/92160], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/82944], [[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/82944], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[2, 7], [4, 1], [6, 4], [8, 1], [12, 1]], 1/995328], [[[2, 7], [4, 1], [8, 1], [10, 2], [12, 1]], 1/230400], [[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 11/11796480], [[[2, 7], [4, 2], [6, 1], [8, 2], [10, 1]], 31/5898240], [[[2, 7], [4, 2], [6, 1], [8, 2], [12, 1]], 7/5898240], [[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 13/691200], [[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/64512], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/64512], [[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/46080], [[[2, 7], [4, 2], [6, 2], [12, 1], [14, 1]], 1/96768], [[[2, 7], [4, 2], [6, 2], [12, 1], [18, 1]], 1/124416], [[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 1/155520], [[[2, 7], [4, 2], [10, 1], [12, 1], [14, 1]], 1/40320], [[[2, 7], [4, 3], [6, 1], [8, 1], [14, 1]], 85/24772608], [[[2, 7], [4, 3], [6, 1], [8, 1], [18, 1]], 7/3538944], [[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 19/4423680], [[[2, 7], [4, 3], [6, 2], [8, 1], [12, 1]], 59/21233664], [[[2, 7], [4, 3], [8, 1], [10, 1], [12, 1]], 107/29491200], [[[2, 7], [4, 4], [6, 1], [10, 1], [12, 1]], 1/276480], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 143/36864000], [[[2, 9], [4, 1], [6, 1], [10, 1], [16, 1]], 1/1638400], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 23/7741440], [[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 11/6635520], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 13/3981312], [[[2, 9], [4, 1], [6, 3], [8, 1], [12, 1]], 11/39813120], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 29/12902400], [[[2, 9], [4, 1], [8, 1], [12, 1], [14, 1]], 1/30965760], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 23/5160960], [[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/737280], [[[2, 9], [4, 2], [6, 1], [12, 1], [14, 1]], 1/573440], [[[2, 9], [4, 2], [6, 1], [12, 1], [18, 1]], 1/19906560], [[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 43/16588800], [[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 67/117964800], [[[2, 9], [4, 3], [6, 1], [8, 1], [12, 1]], 611/2972712960], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 989/6936330240], [[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 29/2972712960], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 617/1857945600], [[[2, 11], [4, 1], [6, 2], [8, 1], [12, 1]], 47/5945425920], [[[2, 11], [4, 1], [8, 1], [10, 1], [12, 1]], 31/14863564800], [[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 53/464486400], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 797/127401984000], [[[2, 13], [4, 1], [6, 1], [8, 1], [12, 1]], 19/356725555200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 4]], 1/294912], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/32768], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 3], [10, 1]], 1/245760], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 3], [12, 1]], 1/36864], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 1/294912], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [12, 2]], 1/27648], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [16, 1]], 1/36864], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 2]], 5/14155776], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [16, 1]], 1/1179648], [[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [10, 1]], 1/11796480], [[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [12, 1]], 5/3538944], [[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 1/14155776], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 3], [10, 1]], 1/20480], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 3], [14, 1]], 1/86016], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 3], [18, 1]], 1/36864], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [16, 1]], 1/147456], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 3], [12, 1]], 1/221184], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/40960], [[[1, 1], [2, 2], [4, 1], [8, 3], [10, 1], [12, 1]], 1/61440], [[[1, 1], [2, 2], [4, 2], [5, 1], [6, 1], [8, 3]], 1/245760], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/32768], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 3], [12, 1]], 1/36864], [[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 1], [2, 2], [4, 2], [8, 2], [12, 1], [14, 1]], 1/21504], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 2], [12, 1]], 1/30720], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 1/82944], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [16, 1]], 1/55296], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [12, 2]], 1/23040], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/40960], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 2], [12, 1]], 1/76800], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/8192], [[[1, 1], [2, 2], [4, 3], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [16, 1]], 1/15360], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [12, 2]], 1/27648], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/196608], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [10, 1]], 1/1474560], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [12, 1]], 1/98304], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [16, 1]], 1/36864], [[[1, 1], [2, 2], [4, 4], [7, 1], [8, 1], [12, 1]], 1/43008], [[[1, 1], [2, 2], [4, 4], [8, 1], [12, 1], [14, 1]], 1/43008], [[[1, 1], [2, 2], [4, 5], [5, 1], [8, 1], [10, 1]], 1/983040], [[[1, 1], [2, 2], [4, 5], [6, 1], [8, 1], [14, 1]], 1/4128768], [[[1, 1], [2, 2], [4, 5], [6, 1], [8, 1], [18, 1]], 1/1769472], [[[1, 1], [2, 2], [4, 5], [6, 2], [8, 1], [12, 1]], 17/10616832], [[[1, 1], [2, 2], [4, 5], [8, 1], [10, 1], [12, 1]], 17/2949120], [[[1, 1], [2, 2], [4, 6], [5, 1], [6, 1], [8, 1]], 1/11796480], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 1], [12, 1]], 5/3538944], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 3]], 1/73728], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [10, 2]], 1/61440], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 7/786432], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/442368], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [16, 1]], 1/165888], [[[1, 1], [2, 4], [3, 1], [4, 2], [14, 1], [16, 1]], 1/21504], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 1/221184], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [16, 1]], 1/73728], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 11/1179648], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 13/1966080], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 65/3538944], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [12, 2]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 2], [12, 1]], 1/38400], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 1/393216], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 2]], 1/3686400], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 1/55296], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [16, 1]], 1/196608], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [14, 1]], 1/1548288], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [18, 1]], 1/663552], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [8, 1]], 17/31850496], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [12, 1]], 1/165888], [[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [14, 1]], 1/516096], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [18, 1]], 1/2654208], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [8, 1]], 5/3538944], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [10, 1]], 1/26542080], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 17/15925248], [[[1, 1], [2, 4], [3, 1], [4, 5], [10, 1], [12, 1]], 23/4423680], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [8, 1]], 29/113246208], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [10, 1]], 1/5898240], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [12, 1]], 1/884736], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [10, 2]], 1/76800], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 3], [10, 1]], 1/184320], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [14, 1]], 1/32256], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [18, 1]], 1/13824], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 2]], 1/552960], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 2], [14, 1]], 1/35840], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [10, 2]], 7/307200], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 7/589824], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [12, 1]], 7/884736], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [8, 2]], 1/258048], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [14, 1]], 1/36864], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [18, 1]], 1/18432], [[[1, 1], [2, 4], [4, 1], [6, 2], [14, 1], [16, 1]], 1/32256], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/110592], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 2], [12, 1]], 1/110592], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [16, 1]], 1/69120], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 2], [10, 1]], 1/71680], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 1/7168], [[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [14, 1]], 3/71680], [[[1, 1], [2, 4], [4, 1], [8, 2], [12, 1], [14, 1]], 1/21504], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1], [16, 1]], 1/8960], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [16, 1]], 1/92160], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [10, 2]], 1/128000], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 2], [10, 1]], 1/32768], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 1], [16, 1]], 1/25600], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 29/229376], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 79/294912], [[[1, 1], [2, 4], [4, 2], [6, 1], [14, 1], [16, 1]], 1/21504], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/82944], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 11/147456], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/147456], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 25/442368], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [16, 1]], 1/30720], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 1/172800], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [16, 1]], 1/27648], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 1/72576], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 1/31104], [[[1, 1], [2, 4], [4, 2], [7, 1], [8, 1], [14, 1]], 1/25088], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [12, 2]], 1/23040], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 2], [12, 1]], 1/12800], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 73/368640], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [16, 1]], 1/7680], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 2]], 17/1966080], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 3], [12, 1]], 1/207360], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 2]], 11/1843200], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 7/331776], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 17/393216], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 31/1474560], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 7/131072], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [16, 1]], 1/49152], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 2], [12, 1]], 1/115200], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [16, 1]], 7/221184], [[[1, 1], [2, 4], [4, 3], [6, 2], [7, 1], [12, 1]], 1/96768], [[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [14, 1]], 5/774144], [[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [18, 1]], 1/110592], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [12, 1]], 11/1990656], [[[1, 1], [2, 4], [4, 3], [7, 1], [10, 1], [12, 1]], 1/26880], [[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [14, 1]], 41/516096], [[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 4], [5, 1], [6, 2], [8, 1]], 41/17694720], [[[1, 1], [2, 4], [4, 4], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [10, 1]], 17/4915200], [[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [12, 1]], 7/737280], [[[1, 1], [2, 4], [4, 4], [5, 1], [10, 1], [12, 1]], 1/61440], [[[1, 1], [2, 4], [4, 4], [6, 1], [7, 1], [8, 1]], 1/344064], [[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [14, 1]], 7/589824], [[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [18, 1]], 29/1769472], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/2580480], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 1], [2, 4], [4, 4], [6, 1], [12, 1], [14, 1]], 1/86016], [[[1, 1], [2, 4], [4, 4], [6, 1], [12, 1], [18, 1]], 1/36864], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [10, 1]], 11/5898240], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [12, 1]], 71/2654208], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 1], [12, 1]], 1/276480], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 5/73728], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [10, 1]], 1/7372800], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [12, 1]], 1/737280], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 1/786432], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 389/42467328], [[[1, 1], [2, 4], [4, 5], [6, 1], [10, 1], [12, 1]], 17/4423680], [[[1, 1], [2, 4], [5, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [18, 1]], 1/23040], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 3]], 7/2359296], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/36000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/172800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 1/217728], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/93312], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 2], [14, 1]], 1/129024], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/22400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 11/884736], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/46080], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [16, 1]], 1/221184], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/48384], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/41472], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [8, 1]], 25/11943936], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/93312], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 2]], 13/1228800], [[[1, 1], [2, 6], [3, 1], [4, 2], [10, 1], [16, 1]], 1/184320], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 89/28311552], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 11/1105920], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/497664], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [16, 1]], 7/2359296], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 13/2322432], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [18, 1]], 1/110592], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 19/2654208], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 13/4976640], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 11/2985984], [[[1, 1], [2, 6], [3, 1], [4, 3], [10, 1], [14, 1]], 11/1290240], [[[1, 1], [2, 6], [3, 1], [4, 3], [12, 1], [14, 1]], 11/774144], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 11/6193152], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [8, 1]], 13/7077888], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 17/4423680], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [12, 1]], 1/165888], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [10, 1]], 23/14155776], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [12, 1]], 91/35389440], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 35/113246208], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [10, 1]], 103/106168320], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 107/63700992], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [14, 1]], 1/64512], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 2]], 1/69120], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 1/72576], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [18, 1]], 1/62208], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 2]], 1/245760], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [18, 1]], 1/51840], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [10, 1]], 1/259200], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/19200], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 2], [10, 1]], 1/102400], [[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [8, 2]], 1/1032192], [[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 5/129024], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [18, 1]], 5/147456], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/13440], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [16, 1]], 1/18432], [[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 1/56448], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 7/153600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/73728], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 11/368640], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [16, 1]], 1/18432], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 1/34560], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 6], [4, 1], [6, 3], [7, 1], [10, 1]], 1/120960], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 37/580608], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 11/82944], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1/36288], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 1/31104], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [12, 1]], 1/331776], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 1], [12, 1]], 1/155520], [[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 1/15680], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/40960], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 2], [12, 1]], 7/230400], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 1], [12, 1]], 1/92160], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/25600], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [16, 1]], 1/368640], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [8, 1]], 17/3317760], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 1/138240], [[[1, 1], [2, 6], [4, 2], [5, 1], [8, 1], [14, 1]], 1/122880], [[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [14, 1]], 1/35840], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 27/409600], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [12, 2]], 1/331776], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 271/11796480], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 529/5898240], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 361/17694720], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [16, 1]], 19/245760], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 43/691200], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [16, 1]], 1/110592], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 1/21504], [[[1, 1], [2, 6], [4, 2], [6, 2], [7, 1], [8, 1]], 1/258048], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 11/172032], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 5/73728], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/46080], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/27648], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 5/96768], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 7/124416], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 13/663552], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [12, 1]], 5/248832], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 1/62208], [[[1, 1], [2, 6], [4, 2], [7, 1], [8, 1], [10, 1]], 1/107520], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 79/860160], [[[1, 1], [2, 6], [4, 2], [8, 1], [12, 1], [14, 1]], 13/258048], [[[1, 1], [2, 6], [4, 2], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [14, 1]], 1/215040], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [18, 1]], 1/184320], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [10, 1]], 1/184320], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [12, 1]], 1/276480], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 7/1966080], [[[1, 1], [2, 6], [4, 3], [5, 1], [10, 1], [12, 1]], 1/115200], [[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [10, 1]], 1/143360], [[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [12, 1]], 1/387072], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 103/3538944], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 139/3538944], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 17/645120], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 17/552960], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [14, 1]], 5/129024], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [18, 1]], 17/331776], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 101/4423680], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 767/21233664], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 7/184320], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 303/3276800], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [8, 1]], 13/8847360], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [10, 1]], 19/8847360], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 413/23592960], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 439/21233664], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 1], [12, 1]], 19/1105920], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 1], [10, 2]], 1/48000], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 2], [10, 1]], 1/184320], [[[1, 1], [2, 6], [5, 1], [6, 2], [8, 1], [14, 1]], 1/80640], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [5, 1], [6, 3], [8, 1], [10, 1]], 1/172800], [[[1, 1], [2, 6], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/16128], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 2]], 1/786432], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/76800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [16, 1]], 11/4423680], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 1/124416], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 7/995328], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 23/7464960], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 1/1492992], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/70778880], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 2], [10, 1]], 73/70778880], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 2], [12, 1]], 1/70778880], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 2], [12, 1]], 1/345600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 151/283115520], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 47/7372800], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [16, 1]], 1/3932160], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 31/3096576], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 7/1327104], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 353/191102976], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 7/552960], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 11/1990656], [[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [14, 1]], 11/7741440], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 61/37158912], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [18, 1]], 1/1769472], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 43/26542080], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 143/53084160], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 247/159252480], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 1], [12, 1]], 89/66355200], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [8, 1]], 1729/6794772480], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 173/353894400], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [12, 1]], 61/106168320], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 11/1382400], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [10, 1]], 23/7372800], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 1/193536], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [18, 1]], 1/248832], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 1/8640], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/12960], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 1/207360], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 2]], 71/117964800], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 11/1152000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 1/161280], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [18, 1]], 1/207360], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 1/225792], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 347/4096000], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 31/23592960], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 173/14745600], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [12, 1]], 1/1572864], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [16, 1]], 139/14745600], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 11/691200], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/13824], [[[1, 1], [2, 8], [4, 1], [6, 2], [7, 1], [10, 1]], 1/161280], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 443/7741440], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 271/6635520], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 1/96768], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 1/124416], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 145/3981312], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [12, 1]], 37/13271040], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1289/12902400], [[[1, 1], [2, 8], [4, 1], [8, 1], [12, 1], [14, 1]], 31/30965760], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [8, 1]], 259/176947200], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 1/294912], [[[1, 1], [2, 8], [4, 2], [5, 1], [8, 1], [10, 1]], 161/147456000], [[[1, 1], [2, 8], [4, 2], [5, 1], [8, 1], [12, 1]], 1/44236800], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 1], [2, 8], [4, 2], [6, 1], [7, 1], [8, 1]], 11/20643840], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 293/13762560], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 59/5898240], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 163/5160960], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 31/2211840], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 277/15482880], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [18, 1]], 31/19906560], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 1043/35389440], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [12, 1]], 361/53084160], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 343/16588800], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 1], [12, 1]], 19/3686400], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [10, 1]], 23/14745600], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [12, 1]], 1/1638400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 5921/353894400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 22241/2972712960], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 103/4915200], [[[1, 1], [2, 8], [5, 1], [6, 1], [8, 1], [14, 1]], 1/322560], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 8], [5, 1], [6, 2], [8, 1], [10, 1]], 1/230400], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 11/322560], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 2]], 157/2642411520], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 53/36864000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [16, 1]], 29/1981808640], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 11/9289728], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 1/2211840], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 59/53084160], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 469/298598400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 11/59719680], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 53/77414400], [[[1, 1], [2, 10], [3, 1], [4, 1], [12, 1], [14, 1]], 1/46448640], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 13/30965760], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 1759/8918138880], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 7/4423680], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 137/278691840], [[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 1597/19818086400], [[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [12, 1]], 23/3567255552], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 403/11890851840], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 13/70778880], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 55/891813888], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 1/2211840], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [18, 1]], 1/39813120], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 29/4838400], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 11/13271040], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 1/1843200], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [18, 1]], 1/33177600], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 11/11059200], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 29/1651507200], [[[1, 1], [2, 10], [4, 1], [6, 1], [7, 1], [10, 1]], 1/2867200], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 54581/6936330240], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1429/2972712960], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 19/860160], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 23/3686400], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1105920], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [18, 1]], 1/19906560], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 23591/1857945600], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [12, 1]], 89/396361728], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 11/6635520], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 1], [12, 1]], 1207/14863564800], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [8, 1]], 1241/19818086400], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/9830400], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 15341/4954521600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [12, 1]], 1493/5945425920], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 499/232243200], [[[1, 1], [2, 10], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4096000], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 1063/31213486080], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 31/13377208320], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 187/5945425920], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 4429/44590694400], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [12, 1]], 47/8918138880], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 1], [12, 1]], 31/22295347200], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 32171/8561413324800], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 577/29727129600], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [12, 1]], 379/133772083200], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 1063/44590694400], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 1063/37158912000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 477359/891813888000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [12, 1]], 49/16986931200], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 1063/22295347200], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 437/2853804441600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 3497/2675441664000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [12, 1]], 19/535088332800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 4]], 1/294912], [[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [8, 3]], 1/86016], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 3], [9, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/32768], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 3], [10, 1]], 1/245760], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 3], [12, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 1/294912], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [8, 2]], 1/1474560], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [12, 2]], 1/27648], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/196608], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 2], [12, 1]], 1/98304], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [16, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 2]], 5/14155776], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [16, 1]], 1/1179648], [[[1, 2], [2, 1], [3, 1], [4, 5], [7, 1], [8, 1]], 1/4128768], [[[1, 2], [2, 1], [3, 1], [4, 5], [8, 1], [9, 1]], 1/1769472], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [10, 1]], 1/11796480], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [12, 1]], 5/3538944], [[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 1/14155776], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [16, 1]], 1/147456], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 3], [12, 1]], 1/221184], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 1/82944], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [16, 1]], 1/55296], [[[1, 2], [2, 1], [3, 2], [4, 5], [8, 1], [12, 1]], 17/10616832], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [16, 1]], 1/40960], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 3], [10, 1]], 1/20480], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 3], [12, 1]], 1/61440], [[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [8, 3]], 1/245760], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/32768], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 3], [12, 1]], 1/36864], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 2], [12, 1]], 1/21504], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 2], [12, 1]], 1/30720], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [16, 1]], 1/15360], [[[1, 2], [2, 1], [4, 3], [5, 2], [8, 1], [12, 1]], 1/76800], [[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/40960], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/8192], [[[1, 2], [2, 1], [4, 3], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [12, 2]], 1/27648], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [16, 1]], 1/36864], [[[1, 2], [2, 1], [4, 4], [7, 1], [8, 1], [12, 1]], 1/43008], [[[1, 2], [2, 1], [4, 4], [8, 1], [12, 1], [14, 1]], 1/43008], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 1], [10, 1]], 1/983040], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 1], [12, 1]], 17/2949120], [[[1, 2], [2, 1], [4, 6], [5, 1], [6, 1], [8, 1]], 1/11796480], [[[1, 2], [2, 1], [4, 6], [6, 1], [8, 1], [12, 1]], 5/3538944], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 3]], 5/221184], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [10, 2]], 1/61440], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 11/196608], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [10, 1]], 1/40960], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [12, 1]], 7/294912], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 175/2359296], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/442368], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [16, 1]], 1/165888], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 17/688128], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 5/294912], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [14, 1]], 5/172032], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [16, 1]], 1/21504], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [16, 1]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 5/442368], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 7/124416], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [16, 1]], 11/442368], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 2]], 1/122880], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 7/110592], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 137/1179648], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 29/655360], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 611/3538944], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [16, 1]], 1/40960], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 2], [12, 1]], 1/38400], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [16, 1]], 5/73728], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 211/4718592], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 2]], 1/3686400], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 13/165888], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [16, 1]], 13/393216], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [7, 1]], 1/9289728], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [9, 1]], 1/3981312], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [14, 1]], 1/1548288], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [18, 1]], 1/663552], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [8, 1]], 17/31850496], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [12, 1]], 1/165888], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [10, 1]], 1/2580480], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [12, 1]], 5/258048], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [14, 1]], 1/516096], [[[1, 2], [2, 3], [3, 1], [4, 4], [9, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 3], [3, 1], [4, 4], [9, 1], [12, 1]], 1/110592], [[[1, 2], [2, 3], [3, 1], [4, 4], [12, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [6, 2]], 1/4423680], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [8, 1]], 11/11796480], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [7, 1]], 1/2064384], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [14, 1]], 1/1548288], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [18, 1]], 1/2654208], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 11/5308416], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [10, 1]], 1/26542080], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 119/15925248], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [10, 1]], 1/245760], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 401/14155776], [[[1, 2], [2, 3], [3, 1], [4, 5], [10, 1], [12, 1]], 7/884736], [[[1, 2], [2, 3], [3, 1], [4, 6], [5, 1], [6, 1]], 1/17694720], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 343/113246208], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [10, 1]], 1/4423680], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 23/5308416], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 3]], 1/61440], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [10, 2]], 1/76800], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 3], [10, 1]], 1/46080], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [8, 2]], 1/193536], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [9, 1]], 1/82944], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [14, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [18, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 2], [10, 1]], 1/53760], [[[1, 2], [2, 3], [3, 1], [8, 2], [9, 1], [10, 1]], 1/23040], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 3]], 1/110592], [[[1, 2], [2, 3], [3, 2], [4, 1], [14, 1], [16, 1]], 1/32256], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 1/98304], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [16, 1]], 1/27648], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/49152], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [10, 1]], 7/737280], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [12, 1]], 13/442368], [[[1, 2], [2, 3], [3, 2], [4, 2], [10, 2], [12, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 1/147456], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 1/20736], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [16, 1]], 5/442368], [[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [14, 1]], 1/9289728], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [18, 1]], 1/3981312], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [8, 1]], 17/5308416], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 19/995328], [[[1, 2], [2, 3], [3, 2], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [8, 1]], 7/10616832], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [10, 1]], 1/4423680], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [12, 1]], 17/2654208], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [14, 1]], 1/193536], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [18, 1]], 1/82944], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 3]], 1/40960], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 2]], 1/552960], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [14, 1]], 1/35840], [[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [16, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [14, 1]], 1/44800], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [10, 2]], 7/307200], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 13/196608], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/40960], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [12, 1]], 1/32768], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [8, 2]], 1/258048], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [16, 1]], 1/32256], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [14, 1]], 1/36864], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 1/18432], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/110592], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 2], [12, 1]], 1/110592], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [10, 2]], 1/44800], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [10, 1]], 1/71680], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [16, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 1/7168], [[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 3/71680], [[[1, 2], [2, 3], [4, 1], [8, 2], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 2]], 7/737280], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [16, 1]], 1/92160], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 11/128000], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 3/40960], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 83/163840], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [12, 1]], 3/40960], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [16, 1]], 1/25600], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 2], [12, 1]], 11/48000], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 1/12800], [[[1, 2], [2, 3], [4, 2], [5, 2], [10, 1], [12, 1]], 1/48000], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 5/172032], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 13/98304], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 79/294912], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [16, 1]], 1/21504], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/82944], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 13/147456], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 35/442368], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [16, 1]], 1/27648], [[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 1/25088], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 1/23040], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 13/40960], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 2], [12, 1]], 1/12800], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/8192], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 31/122880], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 91/1966080], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [16, 1]], 1/40960], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 3], [12, 1]], 1/207360], [[[1, 2], [2, 3], [4, 3], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [14, 1]], 1/43008], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 1], [8, 1]], 1/122880], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/12288], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 59/393216], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 31/1474560], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 245/1179648], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [16, 1]], 7/245760], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 2], [12, 1]], 1/115200], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [16, 1]], 7/73728], [[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [8, 1]], 1/387072], [[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [12, 1]], 1/96768], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [14, 1]], 1/32256], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/43008], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [12, 1]], 13/172032], [[[1, 2], [2, 3], [4, 3], [7, 1], [10, 1], [12, 1]], 1/26880], [[[1, 2], [2, 3], [4, 3], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 23/172032], [[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [14, 1]], 1/2580480], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [18, 1]], 1/1105920], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [8, 1]], 41/17694720], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [12, 1]], 1/92160], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [10, 1]], 27/819200], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 5/147456], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 1], [12, 1]], 19/307200], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [8, 1]], 1/344064], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [12, 1]], 1/64512], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [14, 1]], 7/589824], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [18, 1]], 29/1769472], [[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [14, 1]], 1/36864], [[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [18, 1]], 1/36864], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [10, 1]], 11/5898240], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 71/2654208], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 17/184320], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [8, 1]], 1/245760], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [10, 1]], 1/1228800], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [12, 1]], 1/245760], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 1/786432], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 55/1572864], [[[1, 2], [2, 3], [4, 5], [6, 1], [10, 1], [12, 1]], 17/4423680], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 2], [14, 1]], 1/53760], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 2], [18, 1]], 1/23040], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 535/7077888], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 7/144000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/7056], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 19/331776], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/172800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [16, 1]], 11/165888], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 1/217728], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 1/93312], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [14, 1]], 11/258048], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/22400], [[[1, 2], [2, 5], [3, 1], [4, 1], [14, 1], [16, 1]], 1/14336], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 4]], 1/497664], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/122880], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 2]], 17/768000], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 5/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 47/1382400], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/124416], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 13/110592], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [7, 1]], 1/193536], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [9, 1]], 1/248832], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 19/580608], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 11/248832], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 61/11943936], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 11/746496], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [14, 1]], 5/150528], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 9/81920], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 65/2359296], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/20480], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 37/1179648], [[[1, 2], [2, 5], [3, 1], [4, 2], [9, 1], [14, 1]], 1/64512], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [16, 1]], 7/184320], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 2], [12, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 3]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 2105/28311552], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 187/5529600], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 19/497664], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [16, 1]], 377/7077888], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [7, 1]], 1/129024], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 103/2322432], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 19/331776], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 163/3981312], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 11/995328], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 203/2985984], [[[1, 2], [2, 5], [3, 1], [4, 3], [7, 1], [8, 1]], 17/2752512], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [9, 1]], 7/3538944], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [14, 1]], 25/688128], [[[1, 2], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 17/1290240], [[[1, 2], [2, 5], [3, 1], [4, 3], [12, 1], [14, 1]], 41/774144], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [6, 2]], 7/3317760], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 13/3686400], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 7/1105920], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [7, 1]], 127/37158912], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [9, 1]], 19/15925248], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 185/12386304], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [18, 1]], 7/589824], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 9/262144], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 7/663552], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 85/1990656], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 1567/70778880], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 1831/35389440], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 19/368640], [[[1, 2], [2, 5], [3, 1], [4, 5], [5, 1], [6, 1]], 11/17694720], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 3983/339738624], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 883/106168320], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1583/63700992], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 2]], 1/184320], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 61/216000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [14, 1]], 1/90720], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [18, 1]], 1/38880], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 2], [10, 1]], 1/51200], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [8, 2]], 1/774144], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [10, 2]], 1/25200], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [9, 1]], 1/331776], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 25/258048], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [18, 1]], 5/110592], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [10, 2]], 1/10800], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 1/42336], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 23/345600], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [16, 1]], 1/110592], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [14, 1]], 1/18144], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024], [[[1, 2], [2, 5], [3, 1], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/18144], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 7/62208], [[[1, 2], [2, 5], [3, 1], [6, 3], [9, 1], [10, 1]], 1/38880], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 2], [2, 5], [3, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 5], [3, 1], [9, 1], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/28800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [16, 1]], 19/331776], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 1/36288], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/15552], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/746496], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 2]], 7/460800], [[[1, 2], [2, 5], [3, 2], [4, 1], [10, 1], [16, 1]], 1/138240], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/110592], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 1/55296], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [16, 1]], 1/55296], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/24192], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 5/248832], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/55296], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 7/414720], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 59/1119744], [[[1, 2], [2, 5], [3, 2], [4, 2], [10, 1], [14, 1]], 1/53760], [[[1, 2], [2, 5], [3, 2], [4, 2], [12, 1], [14, 1]], 1/36288], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 23/1769472], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 13/829440], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 5/165888], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 37/6635520], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 203/21233664], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 55/21233664], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [10, 1]], 31/8847360], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 25/3981312], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 1/12096], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [10, 1]], 1/51840], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 2]], 3/81920], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 7/57600], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [16, 1]], 1/46080], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 1/51840], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [8, 1]], 1/414720], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 1/259200], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 169/192000], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 73/409600], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [16, 1]], 1/15360], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 1/153600], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 1/48000], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/147456], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [16, 1]], 1/129024], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 55/258048], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 17/49152], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/13440], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [16, 1]], 5/43008], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/56448], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/18432], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 7/92160], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [12, 1]], 5/147456], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [16, 1]], 1/10240], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 1/34560], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [16, 1]], 1/55296], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [8, 1]], 1/82944], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [10, 1]], 1/120960], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/13824], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 13/82944], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1/36288], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/31104], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [12, 1]], 7/995328], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 1/155520], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 5/75264], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/15680], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 13/40960], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 2], [12, 1]], 1/12800], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 1], [12, 1]], 11/184320], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [16, 1]], 1/15360], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 53/1474560], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 3/32000], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [16, 1]], 7/368640], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [14, 1]], 1/23040], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [8, 1]], 77/3317760], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 13/691200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [12, 1]], 1/62208], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/44800], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [14, 1]], 37/860160], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 23/179200], [[[1, 2], [2, 5], [4, 2], [5, 1], [12, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 1], [10, 1]], 11/768000], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 1], [12, 1]], 1/691200], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 5/150528], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [18, 1]], 1/64512], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 143/1228800], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 7/331776], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 59/294912], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 157/655360], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 133/884736], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 3/16384], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 7/76800], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [16, 1]], 7/110592], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/21504], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 11/258048], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [10, 1]], 1/40320], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [12, 1]], 1/48384], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 95/516096], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 19/73728], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 13/322560], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 7/138240], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 11/96768], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 5/41472], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 13/663552], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 31/497664], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 1], [12, 1]], 1/13440], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 229/860160], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 55/258048], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [14, 1]], 1/71680], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [18, 1]], 1/61440], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 25/884736], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 43/1382400], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [12, 1]], 1/55296], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 3277/29491200], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 23/655360], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 1], [12, 1]], 13/102400], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 157/6193152], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [10, 1]], 1/86016], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [12, 1]], 1/55296], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 575/4128768], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 313/1769472], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 23/645120], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 23/552960], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 19/129024], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 59/331776], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 7/138240], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 185/1179648], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 7/110592], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 79/196608], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 391/35389440], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 707/44236800], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [12, 1]], 1/61440], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 353/7864320], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 2695/21233664], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 71/1105920], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 11/48000], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 71/921600], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/5040], [[[1, 2], [2, 5], [5, 1], [6, 2], [8, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/7200], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 1/28800], [[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 3/11200], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 7/622080], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/57600], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [16, 1]], 1/44236800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 319/7077888], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/5120], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [16, 1]], 287/8847360], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [7, 1]], 1/96768], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 53/290304], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 23/124416], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 739/11943936], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 389/7464960], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 31/1492992], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 27/819200], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 31/70778880], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 467/14155776], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [12, 1]], 31/70778880], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [16, 1]], 11/1474560], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 2], [12, 1]], 7/345600], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 3]], 1/331776], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [14, 1]], 1/215040], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 11999/283115520], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 2237/22118400], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/497664], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 73/3538944], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 1/294912], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [9, 1]], 5/2654208], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 299/3096576], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 341/3981312], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 13637/191102976], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 17/276480], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 95/1990656], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [10, 1]], 19/5160960], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [12, 1]], 1/46448640], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 89/1935360], [[[1, 2], [2, 7], [3, 1], [4, 2], [9, 1], [10, 1]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 2], [9, 1], [12, 1]], 1/19906560], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/15360], [[[1, 2], [2, 7], [3, 1], [4, 2], [12, 1], [14, 1]], 11/387072], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [6, 2]], 31/8847360], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 169/212336640], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [10, 1]], 1/983040], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [7, 1]], 1/589824], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 173/4644864], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [18, 1]], 31/5308416], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 9859/212336640], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 3491/53084160], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 7957/159252480], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 67/4423680], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 697/84934656], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 1], [12, 1]], 457/33177600], [[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 37/53084160], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 79171/6794772480], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 19129/1061683200], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 5659/318504960], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 2]], 1/737280], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 133/864000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [18, 1]], 1/155520], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [8, 1]], 1/138240], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 49/777600], [[[1, 2], [2, 7], [3, 1], [5, 1], [10, 1], [14, 1]], 1/50400], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/169344], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 89/1382400], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [16, 1]], 1/442368], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 263/7372800], [[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [14, 1]], 1/72576], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [16, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/24192], [[[1, 2], [2, 7], [3, 1], [6, 2], [7, 1], [10, 1]], 1/120960], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 1/9216], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 19/248832], [[[1, 2], [2, 7], [3, 1], [6, 2], [9, 1], [10, 1]], 1/51840], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 43/120960], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 19/51840], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 29/414720], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 1/23040], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 53/17694720], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/57600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [16, 1]], 11/26542080], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1/20736], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/31104], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 181/5971968], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 7/207360], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [14, 1]], 11/3096576], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 37/6193152], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [18, 1]], 23/7962624], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 41/3538944], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 13/663552], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 161/11943936], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 1], [12, 1]], 7/1843200], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 97/70778880], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 109/26542080], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [12, 1]], 127/26542080], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/51840], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/77760], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 7/207360], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 2]], 1361/117964800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 293/1152000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [16, 1]], 31/7372800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 1/23040], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 7/207360], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 11/829440], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 23/345600], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [14, 1]], 1/40960], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 7/38400], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 17/12288000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/115200], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 1/32256], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1247/3686400], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 227/7864320], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 2113/14745600], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 37/4718592], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [16, 1]], 7/65536], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 53/691200], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [16, 1]], 1/221184], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 25/96768], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [8, 1]], 23/3096576], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [10, 1]], 1/32256], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 5/18432], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 191/663552], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 19/80640], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 1/3456], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 1/13824], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 7/124416], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 23/221184], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 19/1327104], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 1/25920], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [10, 1]], 43/4300800], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [12, 1]], 1/30965760], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 33/71680], [[[1, 2], [2, 7], [4, 1], [8, 1], [12, 1], [14, 1]], 31/2064384], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 1/11520], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [7, 1]], 1/645120], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 167/5160960], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [18, 1]], 7/245760], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 4039/176947200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 461/7372800], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [12, 1]], 23/3317760], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 2069/36864000], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [12, 1]], 31/44236800], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 671/55296000], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 271/20643840], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [12, 1]], 1/193536], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 9259/41287680], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 1159/5898240], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 479/2580480], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 163/1105920], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 319/3096576], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 71/1327104], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 6983/35389440], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 3781/53084160], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 59/552960], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 733/7372800], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 197/17694720], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 757/22118400], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [12, 1]], 277/44236800], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 10241/70778880], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 4289/47185920], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 5227/44236800], [[[1, 2], [2, 7], [5, 1], [6, 1], [8, 1], [14, 1]], 1/46080], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 7/28800], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 53/322560], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 7/69120], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 23/8294400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 10453/2642411520], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 201/4096000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [16, 1]], 551/660602880], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [7, 1]], 11/7741440], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 3037/46448640], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 125/3981312], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 1999/59719680], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 24619/298598400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 43/6635520], [[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 17/1387266048], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 29/2972712960], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 11/3538944], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 803/77414400], [[[1, 2], [2, 9], [3, 1], [4, 1], [12, 1], [14, 1]], 31/46448640], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [6, 2]], 157/265420800], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [10, 1]], 13/36864000], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [12, 1]], 1/66355200], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 1/5898240], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [9, 1]], 1/17694720], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 383/24772608], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 443/159252480], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 137083/8918138880], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 247/7372800], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 5713/557383680], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 18497/3963617280], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 4651/17836277760], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 1], [12, 1]], 31/13271040], [[[1, 2], [2, 9], [3, 1], [4, 3], [5, 1], [6, 1]], 13/88473600], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1189/283115520], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1013/117964800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 18341/4459069440], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [14, 1]], 1/716800], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [18, 1]], 1/24883200], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [8, 1]], 11/11059200], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 13/1296000], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 2], [2, 9], [3, 1], [6, 1], [7, 1], [10, 1]], 1/2150400], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 31/3096576], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 31/39813120], [[[1, 2], [2, 9], [3, 1], [6, 1], [9, 1], [10, 1]], 1/921600], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 773/9676800], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 1/276480], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 1483/66355200], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 29/11612160], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 439/318504960], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 143/16588800], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 11/9953280], [[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 19/66355200], [[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [12, 1]], 47/5945425920], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/2949120], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 11/13271040], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 163/836075520], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 29/16588800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 97/12902400], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 31/33177600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 11/3276800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 77/2764800], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 24281/8257536000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [12, 1]], 17/990904320], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [8, 1]], 463/867041280], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [10, 1]], 139/25804800], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 6877/82575360], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1229/106168320], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 451/2580480], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 253/3686400], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 97/7741440], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 31/19906560], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 7/65536], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 619/212336640], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 25/1327104], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 1], [12, 1]], 277/176947200], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 60041/19818086400], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 529/49152000], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [12, 1]], 71/116121600], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 449663/4954521600], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 48197/5945425920], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 289/11059200], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 23/4608000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 989/7431782400], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 2063/891813888000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 31/7431782400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [7, 1]], 29/3468165120], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 21769/7803371520], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 1207/13377208320], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 6719/2548039680], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 85409/8918138880], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 3313/8918138880], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 1247/7431782400], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [12, 1]], 191/71345111040], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 1], [12, 1]], 1207/22295347200], [[[1, 2], [2, 11], [3, 1], [4, 2], [5, 1], [6, 1]], 59/3567255552], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 3680321/8561413324800], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 22367/14863564800], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 3413/16721510400], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [8, 1]], 29/4954521600], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1283/9289728000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 8773/11147673600], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 29/1911029760], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1037/7431782400], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [12, 1]], 29/4459069440], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 11/116121600], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 3071/2654208000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 65057/6606028800], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 851/10192158720], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 25759/22295347200], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 323/445906944000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 191297/8561413324800], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 374681/2675441664000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 67/21403533312], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 1/40960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 2]], 7/307200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 3]], 1/110592], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 13/196608], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [10, 1]], 1/40960], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [12, 1]], 1/32768], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 175/2359296], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 13/98304], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [16, 1]], 1/21504], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 79/294912], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 5/172032], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 31/1474560], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [16, 1]], 7/245760], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [12, 1]], 1/115200], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 1/147456], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 1/20736], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [16, 1]], 5/442368], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 2]], 1/122880], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 59/393216], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [10, 1]], 91/1966080], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 245/1179648], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [16, 1]], 1/40960], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [16, 1]], 7/73728], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 2], [6, 1]], 1/3686400], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 211/4718592], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 13/165888], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [16, 1]], 13/393216], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [7, 1]], 1/9289728], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [9, 1]], 1/3981312], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [8, 1]], 7/589824], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [10, 1]], 1/2580480], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [12, 1]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [9, 1]], 29/1769472], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [14, 1]], 1/344064], [[[1, 3], [2, 2], [3, 1], [4, 4], [9, 1], [10, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 4], [9, 1], [12, 1]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 4], [12, 1], [14, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [6, 2]], 1/4423680], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 1/786432], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [10, 1]], 1/1228800], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [12, 1]], 17/4423680], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [7, 1]], 1/1548288], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [9, 1]], 1/2654208], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [14, 1]], 1/2064384], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [8, 1]], 7/10616832], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [12, 1]], 17/2654208], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [10, 1]], 1/245760], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 55/1572864], [[[1, 3], [2, 2], [3, 1], [4, 5], [10, 1], [12, 1]], 1/245760], [[[1, 3], [2, 2], [3, 1], [4, 6], [5, 1], [6, 1]], 1/4423680], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 343/113246208], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [10, 1]], 1/17694720], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 23/5308416], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 3]], 1/46080], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 2]], 1/76800], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 3], [10, 1]], 1/61440], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [8, 2]], 1/193536], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 2], [9, 1]], 1/82944], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 2], [10, 1]], 1/53760], [[[1, 3], [2, 2], [3, 1], [8, 2], [9, 1], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 3]], 5/221184], [[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [8, 2]], 1/36864], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [9, 1]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [14, 1]], 1/258048], [[[1, 3], [2, 2], [3, 2], [4, 1], [14, 1], [16, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [16, 1]], 1/30720], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 1/98304], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [16, 1]], 1/27648], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/82944], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 13/147456], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 7/737280], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 35/442368], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [16, 1]], 1/92160], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 2], [12, 1]], 1/172800], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [16, 1]], 1/27648], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 5/442368], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 7/124416], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [16, 1]], 11/442368], [[[1, 3], [2, 2], [3, 2], [4, 3], [7, 1], [12, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [14, 1]], 1/387072], [[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 3], [2, 2], [3, 2], [4, 3], [12, 1], [14, 1]], 1/96768], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [8, 1]], 11/5898240], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [10, 1]], 1/2211840], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [7, 1]], 1/1548288], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [9, 1]], 1/663552], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [14, 1]], 1/9289728], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [18, 1]], 1/3981312], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 17/5308416], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 19/995328], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [10, 1]], 41/17694720], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 71/2654208], [[[1, 3], [2, 2], [3, 2], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 3], [2, 2], [3, 2], [4, 5], [5, 1], [6, 1]], 1/26542080], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 11/5308416], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [10, 1]], 1/4423680], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 119/15925248], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 2]], 1/32256], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [14, 1]], 1/193536], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [18, 1]], 1/82944], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/110592], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 2], [10, 1]], 1/552960], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 2], [12, 1]], 1/110592], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/442368], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [16, 1]], 1/165888], [[[1, 3], [2, 2], [3, 3], [4, 3], [10, 1], [12, 1]], 1/207360], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [8, 1]], 17/31850496], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 3]], 1/40960], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 3/71680], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [14, 1]], 1/71680], [[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [16, 1]], 1/8960], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 2]], 1/61440], [[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [14, 1]], 1/44800], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 11/196608], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [12, 1]], 7/294912], [[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [16, 1]], 1/32256], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 2]], 1/44800], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 1/7168], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [10, 1]], 1/35840], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [12, 1]], 1/21504], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [16, 1]], 1/8960], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 7/737280], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/12800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 13/40960], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 83/163840], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 31/122880], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [16, 1]], 1/25600], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 2], [12, 1]], 1/48000], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 11/128000], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [12, 1]], 1/12800], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 1], [12, 1]], 11/48000], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 2]], 5/172032], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [16, 1]], 1/21504], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 17/688128], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 5/294912], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/49152], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 2], [12, 1]], 13/442368], [[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 1/25088], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 3/40960], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/8192], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 1], [12, 1]], 3/40960], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 29/655360], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [12, 2]], 1/34560], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [16, 1]], 1/40960], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/43008], [[[1, 3], [2, 2], [4, 3], [5, 1], [12, 1], [14, 1]], 1/26880], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [8, 1]], 1/122880], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [12, 1]], 1/38400], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 7/110592], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 137/1179648], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 611/3538944], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [16, 1]], 1/49152], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [16, 1]], 5/73728], [[[1, 3], [2, 2], [4, 3], [6, 2], [7, 1], [8, 1]], 1/387072], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [10, 1]], 1/43008], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 23/172032], [[[1, 3], [2, 2], [4, 3], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [14, 1]], 13/172032], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [14, 1]], 1/2580480], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [18, 1]], 1/1105920], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 2], [12, 1]], 1/92160], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [10, 1]], 27/819200], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 17/184320], [[[1, 3], [2, 2], [4, 4], [5, 1], [10, 1], [12, 1]], 19/307200], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [12, 1]], 1/64512], [[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [14, 1]], 5/258048], [[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [18, 1]], 1/110592], [[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 5/147456], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [8, 1]], 1/245760], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [10, 1]], 1/1474560], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [12, 1]], 7/884736], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [10, 1]], 11/11796480], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 401/14155776], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 2], [14, 1]], 1/53760], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 2], [18, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [14, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 469/1769472], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/48000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/9408], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 41/663552], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [16, 1]], 11/165888], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 11/258048], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [10, 2]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 5/147456], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 9/114688], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [10, 2]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [16, 1]], 5/43008], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 1/497664], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 17/163840], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 79/768000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [16, 1]], 43/737280], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/46080], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 19/1228800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/15360], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 259/884736], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 17/1382400], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 7/124416], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 91/442368], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/64512], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [9, 1]], 1/248832], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/82944], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 5/248832], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/331776], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/248832], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 181/1228800], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/36864], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 569/2359296], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 19/81920], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 29/131072], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [14, 1]], 1/21504], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [12, 2]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [16, 1]], 7/61440], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 17/230400], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 61/4976640], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/71680], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 1/184320], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 23/1290240], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 13/1843200], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 6697/14155776], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 19/614400], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 799/3538944], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 25/1161216], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [9, 1]], 13/995328], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 19/387072], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 19/331776], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 157/3981312], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 7/829440], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 73/995328], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 229/2752512], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [10, 1]], 23/645120], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [12, 1]], 25/387072], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 139/3538944], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 221/2064384], [[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [10, 1]], 17/552960], [[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [12, 1]], 17/331776], [[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 3/143360], [[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 109/6635520], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1351/70778880], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 407/14745600], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 7/276480], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 817/37158912], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [9, 1]], 61/15925248], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 131/4128768], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [18, 1]], 77/5308416], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 253/3538944], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 149/13271040], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 235/1990656], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1651/23592960], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 101/442368], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 7/73728], [[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 179/35389440], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 2311/42467328], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 139/11796480], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 295/3538944], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 29/552960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 61/216000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [16, 1]], 1/69120], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 1/90720], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/38880], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 7/48000], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 2], [10, 1]], 7/61440], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [16, 1]], 1/19200], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/16800], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [8, 1]], 1/115200], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/13500], [[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [10, 1]], 1/32000], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 2]], 25/774144], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 2]], 1/10080], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [9, 1]], 7/331776], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 29/258048], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [18, 1]], 7/110592], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [10, 2]], 1/10800], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [18, 1]], 1/3024], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [16, 1]], 7/110592], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 7/92160], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [14, 1]], 1/18144], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [8, 1]], 1/72576], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [9, 1]], 1/62208], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 3], [2, 4], [3, 1], [6, 3], [9, 1], [10, 1]], 1/38880], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 3], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 3], [2, 4], [3, 1], [8, 1], [9, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [9, 1], [10, 1], [14, 1]], 1/5040], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 17/1105920], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 7/288000], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 263/1327104], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/28800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 1/4096], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/217728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/93312], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/36288], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/15552], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/746496], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [14, 1]], 1/18816], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 17/460800], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 7/221184], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 3/81920], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [12, 1]], 1/49152], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [16, 1]], 1/34560], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 2], [12, 1]], 1/172800], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 59/442368], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 11/276480], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [16, 1]], 49/442368], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 11/248832], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/31104], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 7/414720], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 95/1119744], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 29/1548288], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 11/663552], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 11/258048], [[[1, 3], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 2], [4, 2], [12, 1], [14, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 19/1244160], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 29/2764800], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [12, 1]], 31/1658880], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/96768], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1/110592], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [18, 1]], 13/995328], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 2225/15925248], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 77/2488320], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 67/331776], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 319/6635520], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 2063/21233664], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 1], [12, 1]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/221184], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 883/21233664], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 473/26542080], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 349/3981312], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/13500], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 1/311040], [[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [14, 1]], 1/80640], [[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/7056], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [10, 2]], 1/38400], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [16, 1]], 1/69120], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/18144], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 1/145152], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 1/62208], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 13/145152], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 7/62208], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 1/51840], [[[1, 3], [2, 4], [3, 2], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/110592], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 2]], 1/172800], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [16, 1]], 1/55296], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/217728], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 1/93312], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 1/124416], [[[1, 3], [2, 4], [3, 3], [4, 1], [10, 1], [14, 1]], 1/120960], [[[1, 3], [2, 4], [3, 3], [4, 1], [12, 1], [14, 1]], 1/72576], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/96768], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 7/497664], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/69120], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/31104], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [12, 1]], 13/995328], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 5/884736], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [10, 1]], 5/995328], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/110592], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [14, 1]], 1/72576], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [18, 1]], 1/62208], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 1/311040], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 17/245760], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/9600], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [16, 1]], 1/23040], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [7, 1]], 1/120960], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 1/414720], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 1/15680], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 17/16000], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 327/409600], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [12, 1]], 1/30720], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 11/76800], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 11/48000], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [18, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 13/460800], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 17/288000], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 49/192000], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 1/48000], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 17/344064], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 2]], 1/67200], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/4608], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 17/49152], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [16, 1]], 1/14336], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/18816], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 1/12096], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 11/460800], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 7/55296], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 17/276480], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 7/147456], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [16, 1]], 1/55296], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 1/82944], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [12, 1]], 1/72576], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/27648], [[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [12, 1]], 5/995328], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 11/75264], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/15680], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 11/30720], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 1], [12, 1]], 1/12288], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 323/1474560], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 23/192000], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [16, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [14, 1]], 1/23040], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 7/276480], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/86400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [12, 1]], 1/62208], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/24576], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 9/179200], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 43/286720], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 23/179200], [[[1, 3], [2, 4], [4, 2], [5, 1], [12, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 59/1228800], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 73/768000], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [12, 1]], 7/691200], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [18, 1]], 1/21504], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 27/409600], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 5/110592], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 77/196608], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 493/1966080], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 71/221184], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 121/737280], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 11/230400], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 1/64512], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/12288], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [12, 1]], 1/24192], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 215/1548288], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 137/663552], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 11/322560], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/27648], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 1/13824], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 55/995328], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 1], [12, 1]], 1/51840], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 73/286720], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 23/258048], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 1], [12, 1]], 1/6720], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 37/172032], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 65/258048], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 1/61440], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 29/645120], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [18, 1]], 23/552960], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 313/4423680], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/27648], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [12, 1]], 19/276480], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 6251/14745600], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 85/393216], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 403/921600], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 85/884736], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 29/1290240], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 5/86016], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 787/4128768], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 313/1769472], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/43008], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 1/61440], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 67/387072], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 59/331776], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 71/2211840], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 83/393216], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 73/1658880], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1457/2949120], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1393/23592960], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 559/14745600], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [12, 1]], 11/184320], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 3289/70778880], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 505/1769472], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 77/1105920], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 23/96000], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 17/102400], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [16, 1]], 1/19200], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/5040], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [8, 1]], 1/80640], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400], [[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 3/11200], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/24000], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [18, 1]], 1/8064], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [6, 2], [7, 1], [8, 1], [10, 1]], 1/80640], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 53/1866240], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 37/2457600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 7/38400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [16, 1]], 31/44236800], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 1/230400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 575/1769472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 31/115200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 349/1769472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 43/870912], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [9, 1]], 1/41472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 13/48384], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 5/15552], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1141/11943936], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 133/2488320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 61/1492992], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 437/2457600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 107/4718592], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 3811/23592960], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 121/14155776], [[[1, 3], [2, 6], [3, 1], [4, 1], [9, 1], [14, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [16, 1]], 29/491520], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 11/230400], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 47/622080], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [14, 1]], 1/32256], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 23/7372800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 148313/283115520], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 3049/11059200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 5/248832], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 1559/8847360], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 155/2064384], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 11/884736], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 565/1548288], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 685/1990656], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 3575/10616832], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 23/165888], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 545/2985984], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 739/41287680], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 143/5160960], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [12, 1]], 31/46448640], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 59/5898240], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 929/4128768], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 31/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [12, 1]], 31/19906560], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 17/129024], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 205/5308416], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 4897/212336640], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 943/22118400], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 887/44236800], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 47/1327104], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [9, 1]], 205/15925248], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 2159/12386304], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 175/2654208], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 13339/42467328], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 4309/26542080], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 25/98304], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 43/221184], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 11059/84934656], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 383/2949120], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 2951/212336640], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 324679/2264924160], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 5231/53084160], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 45781/318504960], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 23/884736], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 631/864000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [16, 1]], 1/276480], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 23/120960], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 5/31104], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [8, 1]], 41/1244160], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 49/194400], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [14, 1]], 1/35840], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 31/201600], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 11/432000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 19/169344], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 43/230400], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [16, 1]], 19/442368], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 19/147456], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [14, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [16, 1]], 19/92160], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 1/8064], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 17/120960], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [9, 1]], 1/82944], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 17/64512], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 11/41472], [[[1, 3], [2, 6], [3, 1], [6, 2], [9, 1], [10, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 43/120960], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 23/51840], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 13/103680], [[[1, 3], [2, 6], [3, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 3], [2, 6], [3, 1], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 3/35840], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 59/1244160], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [14, 1]], 1/96768], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 8293/106168320], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 41/345600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 89/2949120], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/27648], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 1/124416], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 25/64512], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 11/62208], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1937/5971968], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 359/1866240], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 229/2239488], [[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [10, 1]], 1/120960], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 151/3096576], [[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [10, 1]], 1/103680], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/17280], [[[1, 3], [2, 6], [3, 2], [4, 1], [12, 1], [14, 1]], 1/72576], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 1/46080], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 599/176947200], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 23/4423680], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 13/1032192], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 7/1327104], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 89/688128], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [18, 1]], 155/7962624], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 257/1179648], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 671/3317760], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1925/11943936], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 127/3932160], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 259/17694720], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 1], [12, 1]], 443/16588800], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 509/159252480], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 32933/637009920], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 4399/79626240], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 1033/17694720], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 1/30240], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 7/276480], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 119/518400], [[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 1/115200], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 1/580608], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/30240], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [9, 1]], 1/248832], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 55/580608], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [18, 1]], 5/248832], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 11/72576], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 1/19440], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 37/276480], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 1/124416], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [18, 1]], 1/186624], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 23/995328], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 5/248832], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 19/746496], [[[1, 3], [2, 6], [3, 3], [4, 1], [10, 1], [12, 1]], 1/311040], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 203/63700992], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/110592], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 23/1990656], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [10, 1]], 7/1244160], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 713/7864320], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 251/384000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [16, 1]], 251/7372800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [7, 1]], 1/80640], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 23/161280], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/7680], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 23/414720], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 127/1036800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [12, 1]], 7/622080], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/33600], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 173/860160], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1536], [[[1, 3], [2, 6], [4, 1], [5, 1], [12, 1], [14, 1]], 1/80640], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 551/36864000], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 61/576000], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [12, 1]], 1/691200], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 1/10752], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 1/13824], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1579/3686400], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 2653/14155776], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 3691/8847360], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 167/4718592], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 223/983040], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 59/691200], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [16, 1]], 7/221184], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 25/96768], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 227/3096576], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [12, 1]], 1/96768], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 97/221184], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 47/241920], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 5/20736], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 13/145152], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 1/13824], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 349/3317760], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 137/3981312], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 13/311040], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 261/1433600], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [12, 1]], 31/30965760], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 11/17920], [[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 145/2064384], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 1/92160], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 731/5160960], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 9/81920], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 277/1966080], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 281/1228800], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 31/663552], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 189/327680], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 103/3686400], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 2987/18432000], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 5/43008], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [10, 1]], 79/645120], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 8209/12386304], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 3521/5308416], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 143/516096], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 239/1105920], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 817/3096576], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 233/1327104], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 5813/17694720], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 139/589824], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 11/61440], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 3383/8847360], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1843/17694720], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1559/8847360], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 253/4423680], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 26513/70778880], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 53897/141557760], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 3491/13271040], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [8, 1]], 1/322560], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 23/322560], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 83/201600], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5400], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 19/115200], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 1], [10, 1]], 13/322560], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 59/322560], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 9433/298598400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/38707200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 1/33177600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 797/77414400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 7/12288000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 119533/1981808640], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 10411/36864000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 63/2621440], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 101/4644864], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [9, 1]], 61/6635520], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 251/645120], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 4531/19906560], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 54253/238878720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 763/2488320], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 2921/59719680], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 211/462422016], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [10, 1]], 43/7741440], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [12, 1]], 1/23224320], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1429/2972712960], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1223/24772608], [[[1, 3], [2, 8], [3, 1], [4, 1], [9, 1], [10, 1]], 23/3686400], [[[1, 3], [2, 8], [3, 1], [4, 1], [9, 1], [12, 1]], 1/19906560], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 421/5160960], [[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 23/3096576], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 2377/88473600], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 919/330301440], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 4507/442368000], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [12, 1]], 1/2073600], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 479/41287680], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 13/10616832], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 4331/24772608], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 4973/159252480], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 34219/141557760], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 13607/44236800], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 7289/79626240], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 5591/88473600], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 59/8847360], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 1883/66355200], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 1499/212336640], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 971099/11890851840], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 116011/1061683200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 41329/743178240], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 457/19353600], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 31/24883200], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [8, 1]], 919/66355200], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 5771/41472000], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 247/55296000], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/860160], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 83/3870720], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [9, 1]], 1/1474560], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 11/143360], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 7/884736], [[[1, 3], [2, 8], [3, 1], [6, 1], [9, 1], [10, 1]], 139/8294400], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 559/1935360], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 31/829440], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 377/2764800], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 67/16588800], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 191/165888000], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [12, 1]], 1/99532800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/2322432], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 1/2211840], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 53/1290240], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 37/6635520], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 2741/35389440], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1901/12441600], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1057/59719680], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 287/33177600], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 4453/17836277760], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 1], [12, 1]], 37/24883200], [[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 59/44236800], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 8891/424673280], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1003/26542080], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 9991/836075520], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 19/33177600], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 331/41472000], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 563/22118400], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 161/159252480], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 143/99532800], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 11/59719680], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [7, 1]], 7/3686400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 817/12902400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 79/3686400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 3497/88473600], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 547/2764800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [12, 1]], 23/8294400], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 18277/294912000], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [12, 1]], 2717/4954521600], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 271/55296000], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 13357/867041280], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 1427/25804800], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [12, 1]], 1/573440], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 26629/82575360], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 3083/35389440], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 427/1105920], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 1289/6635520], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 257/4644864], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 5/442368], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 791/2457600], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 3863/212336640], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 83/1327104], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 811/58982400], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 257/5898240], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 21007/147456000], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 487/58060800], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 343163/707788800], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 3743/53084160], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 47/345600], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 133/3072000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 83039/22295347200], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 97283/891813888000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 91/106168320], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [12, 1]], 199/22295347200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1361/2601123840], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [9, 1]], 383/1486356480], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 5059/128450560], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 311/159252480], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 174101/4459069440], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 133411/1238630400], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 25279/4459069440], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 34679/7431782400], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 7337/71345111040], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 211/265420800], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1457/1274019840], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 3366337/190253629440], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 344147/9909043200], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1031/222953472], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [8, 1]], 1321/3715891200], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 40931/9289728000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 16427/1651507200], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 179/2972712960], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 10409/7644119040], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 105991/22295347200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 7883/26754416640], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 2291/743178240], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 36419/1769472000], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [12, 1]], 989/7431782400], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 1403807/19818086400], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 82531/71345111040], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 277/29491200], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 156587/2675441664000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1606391/2140353331200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 3045583/891813888000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 24443/267544166400], [[[1, 3], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 3], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/46080], [[[1, 3], [3, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 3], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 2]], 7/307200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [16, 1]], 1/19200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 7/589824], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 3], [12, 1]], 7/884736], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 7/786432], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 29/229376], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [16, 1]], 1/21504], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 79/294912], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 31/1474560], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [16, 1]], 1/49152], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 11/1843200], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [12, 1]], 1/115200], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 7/331776], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 17/393216], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 17/1966080], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 7/131072], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [16, 1]], 7/221184], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/2580480], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [9, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 2], [6, 1]], 1/3686400], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 1/393216], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 1/55296], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [16, 1]], 1/196608], [[[1, 4], [2, 1], [3, 1], [4, 4], [7, 1], [8, 1]], 7/589824], [[[1, 4], [2, 1], [3, 1], [4, 4], [7, 1], [12, 1]], 1/86016], [[[1, 4], [2, 1], [3, 1], [4, 4], [8, 1], [9, 1]], 29/1769472], [[[1, 4], [2, 1], [3, 1], [4, 4], [8, 1], [14, 1]], 1/344064], [[[1, 4], [2, 1], [3, 1], [4, 4], [9, 1], [12, 1]], 1/36864], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 1/786432], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [10, 1]], 1/7372800], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [12, 1]], 17/4423680], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [7, 1]], 1/6193152], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [9, 1]], 1/2654208], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 389/42467328], [[[1, 4], [2, 1], [3, 1], [4, 5], [10, 1], [12, 1]], 1/737280], [[[1, 4], [2, 1], [3, 1], [4, 6], [5, 1], [6, 1]], 1/5898240], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 29/113246208], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [12, 1]], 1/884736], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 3]], 1/184320], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [9, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 2]], 1/76800], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 3]], 1/73728], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [8, 2]], 1/36864], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [16, 1]], 1/32256], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [14, 1]], 1/258048], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/147456], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [16, 1]], 1/30720], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 1/172800], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/82944], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 11/147456], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 25/442368], [[[1, 4], [2, 1], [3, 2], [4, 2], [10, 1], [16, 1]], 1/92160], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 1], [16, 1]], 1/27648], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 1/221184], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/124416], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [16, 1]], 1/73728], [[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [8, 1]], 5/774144], [[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [12, 1]], 1/32256], [[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [9, 1]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 4], [2, 1], [3, 2], [4, 3], [12, 1], [14, 1]], 1/96768], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [8, 1]], 11/5898240], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [10, 1]], 1/2211840], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [7, 1]], 1/1548288], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [9, 1]], 1/663552], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [10, 1]], 41/17694720], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [12, 1]], 71/2654208], [[[1, 4], [2, 1], [3, 2], [4, 5], [5, 1], [6, 1]], 1/26542080], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 5/3538944], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 17/15925248], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 2], [10, 1]], 1/46080], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [8, 2]], 1/32256], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 2], [9, 1]], 1/13824], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [16, 1]], 1/69120], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/110592], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 2], [10, 1]], 1/552960], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 2], [12, 1]], 1/110592], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/442368], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [16, 1]], 1/165888], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 1/72576], [[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 1/31104], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [8, 1]], 1/829440], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 1], [12, 1]], 11/1990656], [[[1, 4], [2, 1], [3, 3], [4, 3], [10, 1], [12, 1]], 1/207360], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [8, 1]], 17/31850496], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 3/71680], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 4], [2, 1], [4, 1], [5, 1], [8, 2], [14, 1]], 1/71680], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [8, 2]], 1/61440], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/7168], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 2], [10, 1]], 1/35840], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 2], [12, 1]], 1/21504], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/3840], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/32768], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 73/368640], [[[1, 4], [2, 1], [4, 2], [5, 1], [10, 1], [16, 1]], 1/25600], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 1], [16, 1]], 1/7680], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 1], [10, 1]], 1/128000], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 1], [12, 1]], 1/12800], [[[1, 4], [2, 1], [4, 2], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 1], [4, 2], [6, 1], [7, 1], [16, 1]], 1/21504], [[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/25088], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 13/1966080], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [12, 2]], 1/34560], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/107520], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 4], [2, 1], [4, 3], [5, 1], [12, 1], [14, 1]], 1/26880], [[[1, 4], [2, 1], [4, 3], [5, 2], [6, 1], [12, 1]], 1/38400], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 11/1179648], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 65/3538944], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 41/516096], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [10, 1]], 17/4915200], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 5/73728], [[[1, 4], [2, 1], [4, 4], [5, 1], [10, 1], [12, 1]], 1/61440], [[[1, 4], [2, 1], [4, 4], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 4], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 7/737280], [[[1, 4], [2, 1], [4, 5], [5, 1], [6, 1], [12, 1]], 23/4423680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [14, 1]], 1/67200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/48000], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/9408], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 469/1769472], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/4608], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [10, 2]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [16, 1]], 1/14336], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 17/49152], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 17/344064], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [10, 2]], 1/14400], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 493/1966080], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 73/768000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/34560], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 121/737280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 11/276480], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 27/409600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 23/192000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 11/230400], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 59/442368], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/20736], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 49/442368], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/96768], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/64512], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 59/1228800], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 5/110592], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 77/196608], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 323/1474560], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 71/221184], [[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [14, 1]], 1/21504], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [16, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 7/691200], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [16, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 3]], 5/995328], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/43008], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/61440], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 29/1290240], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 19/614400], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 6697/14155776], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 13/1843200], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 799/3538944], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/41472], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [9, 1]], 13/995328], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/96768], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 5/884736], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 787/4128768], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [10, 1]], 29/645120], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 67/387072], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 313/1769472], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 85/884736], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [10, 1]], 23/552960], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 59/331776], [[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/61440], [[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 5/86016], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 473/26542080], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 3289/70778880], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 559/14745600], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 77/1105920], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 131/4128768], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [9, 1]], 77/5308416], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 817/37158912], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 61/15925248], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 883/21233664], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/221184], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 349/3981312], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1393/23592960], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 505/1769472], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 11/184320], [[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 139/11796480], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 2311/42467328], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 179/35389440], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 295/3538944], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 1/17280], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [16, 1]], 1/69120], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/11760], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/24000], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 17/102400], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [16, 1]], 1/19200], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [14, 1]], 1/10080], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [18, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 1/38400], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/13500], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 23/96000], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 29/258048], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/16800], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [9, 1]], 7/110592], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 25/774144], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [18, 1]], 7/331776], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/18144], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/7056], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [18, 1]], 1/3024], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 2], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [6, 3], [7, 1], [8, 1]], 1/72576], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [9, 1]], 1/62208], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/5040], [[[1, 4], [2, 3], [3, 1], [8, 1], [9, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 17/276480], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 17/288000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 11/460800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/9600], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 263/1327104], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 1/4096], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/217728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 1/93312], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 1/18816], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 13/460800], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 7/55296], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 17/245760], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 7/147456], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [16, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 2], [12, 1]], 1/172800], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [16, 1]], 1/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 11/322560], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/27648], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 17/1382400], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 259/884736], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 7/124416], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 91/442368], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 11/248832], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/32256], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/41472], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 7/497664], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/31104], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 215/1548288], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 137/663552], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/12288], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 4], [2, 3], [3, 2], [4, 2], [12, 1], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 77/2488320], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 71/2211840], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/27648], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 73/1658880], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 19/387072], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 19/331776], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 25/1161216], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [18, 1]], 13/995328], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 2225/15925248], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 19/1244160], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 67/331776], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 313/4423680], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 83/393216], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 19/276480], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 149/13271040], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 253/3538944], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 109/6635520], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 235/1990656], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 7/92160], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/13500], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/6480], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/311040], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 1/25200], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [14, 1]], 1/80640], [[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 1/19200], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 61/216000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [18, 1]], 1/18144], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 1/115200], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 7/110592], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 29/552960], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [14, 1]], 1/3024], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [16, 1]], 1/69120], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 13/145152], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 7/62208], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 1/145152], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/62208], [[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 2], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 41/663552], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/172800], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [16, 1]], 11/165888], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/36288], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/217728], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/93312], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/124416], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/48384], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 1], [10, 1], [14, 1]], 1/120960], [[[1, 4], [2, 3], [3, 3], [4, 1], [12, 1], [14, 1]], 1/72576], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 7/414720], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/86400], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [12, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 5/248832], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [18, 1]], 1/248832], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/31104], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 1/69120], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 95/1119744], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 7/276480], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 55/995328], [[[1, 4], [2, 3], [3, 3], [4, 2], [10, 1], [12, 1]], 1/62208], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 7/829440], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 157/3981312], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [10, 1]], 61/4976640], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 73/995328], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [14, 1]], 1/90720], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [18, 1]], 1/38880], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [10, 1]], 1/90720], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [14, 1]], 1/72576], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [18, 1]], 1/62208], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/38880], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/311040], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/746496], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 1/414720], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [12, 1]], 5/995328], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/331776], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 1/497664], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 1/248832], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 3/81920], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [16, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [7, 1]], 1/120960], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/15680], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 49/192000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 11/30720], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 327/409600], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/12288], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 11/76800], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/48000], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [18, 1]], 1/14400], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 17/460800], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 7/288000], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 17/16000], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 11/48000], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 9/114688], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [10, 2]], 1/67200], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [16, 1]], 5/43008], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 11/258048], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 5/147456], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/18816], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [18, 1]], 1/12096], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 7/221184], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 17/1105920], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [12, 1]], 1/49152], [[[1, 4], [2, 3], [4, 1], [6, 3], [7, 1], [12, 1]], 1/72576], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 11/75264], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/15680], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 19/81920], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/15360], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 1/34560], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [16, 1]], 7/61440], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 1/53760], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/138240], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 37/172032], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 23/179200], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 73/286720], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 9/179200], [[[1, 4], [2, 3], [4, 2], [5, 1], [12, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 181/1228800], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 79/768000], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 17/230400], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 1/21504], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 19/1228800], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 1/36864], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 569/2359296], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 17/163840], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 29/131072], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [16, 1]], 43/737280], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 11/258048], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [12, 1]], 1/20736], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 29/1548288], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 11/663552], [[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 13/995328], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 43/286720], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 65/258048], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 1], [12, 1]], 1/10080], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/24576], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 23/258048], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 3/143360], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [14, 1]], 23/645120], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [18, 1]], 17/552960], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 319/6635520], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 29/2764800], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 1/18432], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 6251/14745600], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1457/2949120], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 403/921600], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 221/2064384], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 23/1290240], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/12288], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 229/2752512], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 139/3538944], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/184320], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 25/387072], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [18, 1]], 17/331776], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 2063/21233664], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 31/1658880], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 85/393216], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 1651/23592960], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 407/14745600], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 7/73728], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1351/70778880], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 101/442368], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 7/276480], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/11760], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [18, 1]], 1/5040], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 2]], 1/32000], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 7/61440], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [16, 1]], 1/19200], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [8, 1]], 1/80640], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 3/11200], [[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 7/48000], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [18, 1]], 1/8064], [[[1, 4], [2, 3], [6, 2], [7, 1], [8, 1], [10, 1]], 1/80640], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 41/1866240], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 583/3686400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 121/288000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 47/983040], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 23/230400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 77/2457600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 31/192000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 2027/3538944], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/9600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 803/2654208], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 127/870912], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [9, 1]], 5/124416], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 17/145152], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 11/62208], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 523/11943936], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 11/2488320], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 43/1492992], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 25/112896], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 35/147456], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 685/4718592], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 7253/23592960], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 655/14155776], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 25/96768], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 307/2211840], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/25600], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [16, 1]], 1/73728], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 125/995328], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 73/1720320], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 7/245760], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 73/645120], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1189/22118400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 30935/18874368], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 2561/11059200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 11/165888], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 3545/7077888], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 611/3096576], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 11/147456], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 3/8192], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 685/1990656], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 3655/10616832], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 53/552960], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1807/8957952], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 9239/41287680], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 467/2580480], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 23/344064], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1159/5898240], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1537/4128768], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 163/1105920], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [12, 1]], 71/1327104], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/7168], [[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 209/1161216], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 2239/13271040], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 10439/70778880], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 8963/44236800], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 523/4915200], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 6407/37158912], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 841/15925248], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 859/3096576], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 89/884736], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 13031/21233664], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 4261/26542080], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 265/589824], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 22883/53084160], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 41981/84934656], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 749/2949120], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 14989/212336640], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 23441/50331648], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 2449/17694720], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 24973/63700992], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 107/884736], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 269/288000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [16, 1]], 5/55296], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 13/40320], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 23/51840], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 89/1244160], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 11/43200], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [14, 1]], 13/107520], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/21600], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 23/67200], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 23/460800], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 331/864000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 1/72576], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 5/14112], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [18, 1]], 1/24192], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 41/230400], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 11/73728], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 71/368640], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [14, 1]], 1/8064], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [16, 1]], 23/92160], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 1/10368], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 11/96768], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/3780], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [9, 1]], 5/82944], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 41/193536], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 11/41472], [[[1, 4], [2, 5], [3, 1], [6, 2], [9, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 43/362880], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 5/31104], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/12960], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [10, 1]], 1/10752], [[[1, 4], [2, 5], [3, 1], [8, 1], [9, 1], [10, 1]], 7/69120], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 197/1244160], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [14, 1]], 23/483840], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 7787/21233664], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 17/86400], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 73/442368], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 139/580608], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 23/124416], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 5/9216], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 5/15552], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 2885/5971968], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 359/1866240], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 415/2239488], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 43/1548288], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 11/241920], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 43/1327104], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 83/516096], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 7/103680], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 23/241920], [[[1, 4], [2, 5], [3, 2], [4, 1], [12, 1], [14, 1]], 1/18144], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 581/3317760], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 9419/176947200], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1999/22118400], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 19/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 311/3096576], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 341/3981312], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 257/1032192], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 107/1327104], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1339/1327104], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 223/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 331/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 787/3932160], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 2039/17694720], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 163/1658880], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 2053/31850496], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 25145/63700992], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1471/7962624], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1051/3538944], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/362880], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/155520], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/6048], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [18, 1]], 1/25920], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 139/829440], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 401/518400], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 49/691200], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 31/580608], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 19/248832], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 109/580608], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [18, 1]], 17/248832], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 19/51840], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 67/276480], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 7/207360], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 7/1327104], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/103680], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/41472], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1/31104], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 25/217728], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [18, 1]], 1/46656], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1267/5971968], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 163/1244160], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 29/248832], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 107/4976640], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [12, 1]], 55/7962624], [[[1, 4], [2, 5], [3, 3], [4, 1], [10, 1], [12, 1]], 1/77760], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/165888], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 5111/63700992], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 103/1658880], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1307/17915904], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 7/414720], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 17/259200], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/19440], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 37/11943936], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/207360], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 1/124416], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 6077/23592960], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 647/1152000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [16, 1]], 259/2211840], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 23/161280], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 11/69120], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 317/4976640], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 37/518400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [12, 1]], 13/622080], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 37/860160], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 67/268800], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 71/129024], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 187/268800], [[[1, 4], [2, 5], [4, 1], [5, 1], [12, 1], [14, 1]], 1/11520], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 391/3686400], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 203/576000], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [12, 1]], 7/691200], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 17/75264], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 25/96768], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 497/2457600], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 4003/14155776], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 3793/8847360], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 313/4718592], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 173/983040], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 17/691200], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [16, 1]], 1/24576], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/13824], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 281/1548288], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [12, 1]], 5/96768], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 283/1548288], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 295/1327104], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/17280], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 7/103680], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 1/36288], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 1/41472], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 263/6635520], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 235/7962624], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 1/77760], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 11/20160], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 47/2064384], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 1], [12, 1]], 1/10080], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 253/860160], [[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 23/294912], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/15360], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 229/860160], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 239/1105920], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 113/393216], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 313/1228800], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 191/1658880], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 52001/29491200], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1381/7372800], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1813/3686400], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 305/1032192], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 107/645120], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 131/1161216], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 8245/12386304], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 3521/5308416], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 277/1720320], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 9/81920], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 251/1032192], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 233/1327104], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 745/3538944], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 481/1769472], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 79/663552], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 793/1769472], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 3661/10616832], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 421/1382400], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 13/69120], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 26279/70778880], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 56855/84934656], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 3347/13271040], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 1/46080], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 47/201600], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 41/322560], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 7/28800], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5400], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 13/69120], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 1], [10, 1]], 43/322560], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 17/322560], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 9821/59719680], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 31/38707200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 31/33177600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 6107/77414400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 57/4096000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 91199/283115520], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 403/819200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 32971/212336640], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 883/5806080], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 49/737280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 3257/4644864], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 725/1327104], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 47107/95551488], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 3799/9953280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1333/11943936], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 3487/247726080], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 457/7741440], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [12, 1]], 31/23224320], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1229/106168320], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 5521/24772608], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 253/3686400], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [12, 1]], 31/19906560], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1103/5160960], [[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 5/147456], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 6163/33177600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 20309/330301440], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 57259/442368000], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 479/33177600], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 403/3538944], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 719/17694720], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 23729/41287680], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 4109/31850496], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 141871/141557760], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 17749/26542080], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 20149/59719680], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 119561/353894400], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 6857/106168320], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1291/11059200], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 16817/212336640], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 979999/1698693120], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 150883/353894400], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 30293/106168320], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 31/9676800], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 11/4147200], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 29/184320], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 29/1658880], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 5353/66355200], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1417/2764800], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 3/64000], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 173/7741440], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 413/2764800], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [9, 1]], 139/13271040], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 55/258048], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 95/2654208], [[[1, 4], [2, 7], [3, 1], [6, 1], [9, 1], [10, 1]], 41/552960], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1151/2903040], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 109/1244160], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 119/414720], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 731/8294400], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 743/132710400], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1843/82944000], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [12, 1]], 31/99532800], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 611/23224320], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 125/3981312], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1807/7741440], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 851/19906560], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 34919/63700992], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1241/1990656], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 6601/59719680], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 677/9830400], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 2353/637009920], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 1], [12, 1]], 397/24883200], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 3533/132710400], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 91519/424673280], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 13223/53084160], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 299/2949120], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 527/33177600], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 4111/41472000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 2521/22118400], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 61/16588800], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1687/59719680], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 4343/99532800], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 137/19906560], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 499/25804800], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 2987/12902400], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1247/11059200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 4369/26542080], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 4709/11059200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [12, 1]], 203/8294400], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 36859/98304000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 3007/530841600], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 2441/55296000], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 15277/123863040], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 5357/25804800], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [12, 1]], 277/15482880], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 7243/14155776], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 8761/42467328], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 2923/7741440], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 1487/6635520], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 383/4644864], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 11/442368], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 7309/17694720], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 51/1048576], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 529/6635520], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 3353/70778880], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1195/4718592], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 3287/5898240], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 3647/66355200], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 654857/707788800], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 25507/106168320], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 3407/13271040], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 9059/55296000], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 241589/5573836800], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 54431/19818086400], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 59923/4128768000], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [12, 1]], 6751/22295347200], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 25453/2080899072], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1723/297271296], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 7549/37158912], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 3079/159252480], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 1005773/4459069440], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 211763/530841600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 3619/106168320], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 8951/212336640], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 295/226492416], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1579/265420800], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 124997/5945425920], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 11200153/63417876480], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 1822771/7431782400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 218623/5350883328], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 79873/14863564800], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 5263/110592000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 14501/265420800], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 59431/14863564800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 89549/3567255552], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 309787/5573836800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 111533/26754416640], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 32123/1061683200], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 105757/774144000], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [12, 1]], 18293/7431782400], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 108907/471859200], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 12779/1698693120], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 2843/88473600], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 548567/382205952000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 20684777/2140353331200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 5641297/178362777600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 12203/10701766656], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/13440], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [14, 1]], 1/33600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 7/144000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/7056], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 535/7077888], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 55/258048], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [16, 1]], 5/43008], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 17/49152], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/147456], [[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [16, 1]], 1/129024], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 157/655360], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 2]], 11/768000], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 3/16384], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/55296], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 143/1228800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 3/32000], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 7/76800], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/110592], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 5/150528], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 7/331776], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 59/294912], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 53/1474560], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 133/884736], [[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [14, 1]], 1/64512], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [16, 1]], 7/368640], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 2], [12, 1]], 1/691200], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [16, 1]], 7/110592], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 23/645120], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 23/552960], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [14, 1]], 1/86016], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 187/5529600], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 2105/28311552], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 19/497664], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 377/7077888], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/96768], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 575/4128768], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [10, 1]], 1/71680], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 19/129024], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 313/1769472], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 157/6193152], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [10, 1]], 1/61440], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 59/331776], [[[1, 5], [2, 2], [3, 1], [4, 3], [12, 1], [14, 1]], 1/55296], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2]], 31/8847360], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 353/7864320], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 707/44236800], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 71/1105920], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 185/12386304], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 7/589824], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 127/37158912], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [18, 1]], 19/15925248], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 55/21233664], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 25/3981312], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 391/35389440], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 2695/21233664], [[[1, 5], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 1/61440], [[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 883/106168320], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 3983/339738624], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [10, 1]], 11/17694720], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1583/63700992], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 2]], 1/92160], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/11760], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 71/921600], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [14, 1]], 1/25200], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [18, 1]], 1/10800], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 1/57600], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [10, 1]], 11/48000], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 25/258048], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1]], 5/110592], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [14, 1]], 1/774144], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [18, 1]], 1/331776], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/18144], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/5040], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 7/92160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [16, 1]], 1/10240], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/28800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 7/57600], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 1/34560], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 19/331776], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/56448], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 1/153600], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [10, 1]], 3/81920], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 5/147456], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [16, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 13/322560], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 7/138240], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 47/1382400], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 5/27648], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/124416], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 13/110592], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/24192], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 5/248832], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 95/516096], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 11/96768], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 19/73728], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 11/258048], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 5/41472], [[[1, 5], [2, 2], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 2], [4, 2], [12, 1], [14, 1]], 1/48384], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 13/829440], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 7/138240], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 43/1382400], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 7/110592], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 103/2322432], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 19/331776], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [14, 1]], 1/129024], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 23/1769472], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 5/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 25/884736], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 185/1179648], [[[1, 5], [2, 2], [3, 2], [4, 3], [10, 1], [12, 1]], 1/55296], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 7/663552], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 9/262144], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 7/3317760], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 85/1990656], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/15360], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 23/345600], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 61/216000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/42336], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [18, 1]], 1/18144], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [16, 1]], 1/110592], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 2], [10, 1]], 1/184320], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 1/10368], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 1], [10, 1]], 1/80640], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/30240], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/17280], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [14, 1]], 1/120960], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/172800], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 19/331776], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [16, 1]], 11/165888], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 1/36288], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 1/13824], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/36288], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 13/82944], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [14, 1]], 1/82944], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 7/414720], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 13/663552], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 13/691200], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 19/580608], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 11/248832], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/193536], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [18, 1]], 1/248832], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/55296], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 59/1119744], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 77/3317760], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 31/497664], [[[1, 5], [2, 2], [3, 3], [4, 2], [10, 1], [12, 1]], 1/62208], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 11/995328], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 163/3981312], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 203/2985984], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [14, 1]], 1/90720], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [18, 1]], 1/38880], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/18144], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [10, 1]], 1/90720], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 7/62208], [[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1]], 1/38880], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 1/259200], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 1/155520], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 1/217728], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/93312], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/746496], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 1/414720], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [12, 1]], 7/995328], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 61/11943936], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1]], 1/497664], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 11/746496], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [8, 1]], 1/311040], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [16, 1]], 1/138240], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/15680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 1/48000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 13/40960], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 73/409600], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 11/184320], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/15360], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [16, 1]], 1/15360], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/22400], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 7/460800], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 169/192000], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/12800], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 2]], 11/258048], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [16, 1]], 1/14336], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 5/75264], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/20480], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/34560], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [16, 1]], 7/184320], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/53760], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 229/860160], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 23/179200], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/6720], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/6720], [[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/44800], [[[1, 5], [2, 2], [4, 2], [5, 1], [12, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 9/81920], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1]], 17/768000], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/15360], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 5/150528], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [18, 1]], 1/64512], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 65/2359296], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/122880], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 37/1179648], [[[1, 5], [2, 2], [4, 2], [6, 2], [7, 1], [12, 1]], 1/36288], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [10, 1]], 37/860160], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 55/258048], [[[1, 5], [2, 2], [4, 2], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 17/1290240], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 37/6635520], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 3277/29491200], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 79/196608], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 13/102400], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1]], 25/688128], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [12, 1]], 41/774144], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [14, 1]], 17/2752512], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [18, 1]], 7/3538944], [[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 203/21233664], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 23/655360], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1567/70778880], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 13/3686400], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 19/368640], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1831/35389440], [[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 7/1105920], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/11760], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [18, 1]], 1/5040], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 2], [10, 1]], 1/51200], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 3/11200], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/207360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 3793/8847360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 203/576000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 173/983040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 17/86400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 497/2457600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 647/1152000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 17/691200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 7787/21233664], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 73/442368], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 25/217728], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1]], 1/46656], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/41472], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/31104], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 37/11943936], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 1/124416], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 17/75264], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 391/3686400], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 4003/14155776], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 6077/23592960], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 313/4718592], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [14, 1]], 25/96768], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 259/2211840], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 7/691200], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [16, 1]], 1/24576], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 103/1658880], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 277/1720320], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 9/81920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 107/645120], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 2561/11059200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 30935/18874368], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1189/22118400], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 11/165888], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 3545/7077888], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 257/1032192], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 107/1327104], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 311/3096576], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 341/3981312], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 5111/63700992], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/165888], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1307/17915904], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 8245/12386304], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 229/860160], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 251/1032192], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 3521/5308416], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 305/1032192], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 239/1105920], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 233/1327104], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 131/1161216], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1471/7962624], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 26279/70778880], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 421/1382400], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 3347/13271040], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 859/3096576], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 89/884736], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 6407/37158912], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 841/15925248], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 25145/63700992], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 2053/31850496], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1051/3538944], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 3661/10616832], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 56855/84934656], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 13/69120], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 2449/17694720], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 23441/50331648], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 14989/212336640], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 24973/63700992], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 71/368640], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 331/864000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [16, 1]], 23/92160], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/6720], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 1/17280], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 19/51840], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/19440], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 17/259200], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 17/322560], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 7/28800], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [14, 1]], 43/322560], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/5400], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 47/201600], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 41/230400], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 269/288000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 1/10368], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 5/14112], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [18, 1]], 1/8064], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 23/460800], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 11/73728], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 107/884736], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [14, 1]], 1/24192], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [16, 1]], 5/55296], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 109/580608], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/6048], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1]], 17/248832], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 31/580608], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 19/248832], [[[1, 5], [2, 4], [3, 1], [6, 2], [9, 1], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/362880], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/155520], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 7/414720], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 41/322560], [[[1, 5], [2, 4], [3, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 163/1244160], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 7/103680], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 1/10080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/9600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 2027/3538944], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 23/230400], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 803/2654208], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 5/9216], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 5/15552], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 139/580608], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 23/124416], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1267/5971968], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 7/207360], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 29/248832], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 283/1548288], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 23/161280], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 1/36288], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 295/1327104], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 281/1548288], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 11/69120], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 1/41472], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 4], [3, 2], [4, 1], [12, 1], [14, 1]], 5/96768], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 223/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 745/3538944], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 313/1228800], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 79/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 3/8192], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 685/1990656], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 611/3096576], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 11/147456], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1339/1327104], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 581/3317760], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 331/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 113/393216], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 481/1769472], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 191/1658880], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 4261/26542080], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 13031/21233664], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 2239/13271040], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 265/589824], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 43/362880], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 5/31104], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/3780], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 67/276480], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 401/518400], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 13/69120], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 41/193536], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 13/40320], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 11/41472], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 11/96768], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [18, 1]], 5/82944], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 23/51840], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 139/829440], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 359/1866240], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 263/6635520], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 37/518400], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 1/77760], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 17/145152], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 11/62208], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 127/870912], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [18, 1]], 5/124416], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 2885/5971968], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 197/1244160], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 415/2239488], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 317/4976640], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 235/7962624], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 1], [12, 1]], 13/622080], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 53/552960], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 3655/10616832], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 125/995328], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1807/8957952], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/12960], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 11/43200], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 89/1244160], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 11/2488320], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 523/11943936], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 41/1866240], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 43/1492992], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 7253/23592960], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 31/192000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 307/2211840], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 23/241920], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 11/241920], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 7/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 107/4976640], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [12, 1]], 1/77760], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 253/860160], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 187/268800], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 11/20160], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 67/268800], [[[1, 5], [2, 4], [4, 1], [5, 1], [12, 1], [14, 1]], 1/10080], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 35/147456], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 121/288000], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/25600], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 25/112896], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 25/96768], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 77/2457600], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 685/4718592], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 583/3686400], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 655/14155776], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 47/983040], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [16, 1]], 1/73728], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 83/516096], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [10, 1]], 23/483840], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [12, 1]], 1/18144], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 43/1548288], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 43/1327104], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 7/1327104], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [12, 1]], 55/7962624], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 71/129024], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 23/294912], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 1], [12, 1]], 1/11520], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 37/860160], [[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 47/2064384], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/7168], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 467/2580480], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 163/1105920], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 787/3932160], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1999/22118400], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 163/1658880], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 52001/29491200], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 793/1769472], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1813/3686400], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1537/4128768], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 73/645120], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 209/1161216], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 9239/41287680], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1159/5898240], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 73/1720320], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 7/245760], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 23/344064], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 71/1327104], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 9419/176947200], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 2039/17694720], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 19/663552], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1381/7372800], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 22883/53084160], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 8963/44236800], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 749/2949120], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 10439/70778880], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 41981/84934656], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 523/4915200], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/15360], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 23/67200], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/10752], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 7/69120], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 49/691200], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 1], [10, 1]], 13/107520], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 187/663552], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 139/4300800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 79/3686400], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 3511/15482880], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 12721/110592000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 1218181/1698693120], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 7937/22118400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 51053/141557760], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 1/2304], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 257/1990656], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 1681/3096576], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 725/1327104], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 43427/95551488], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 11473/59719680], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 3919/35831808], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 30167/247726080], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1609/7741440], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 23/1548288], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 3083/35389440], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 10235/24772608], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 1289/6635520], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [12, 1]], 5/442368], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 3347/15482880], [[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 635/9289728], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 931/1769472], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 239087/707788800], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 215663/442368000], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 31/345600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 18103/41287680], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 23/131072], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 689/917504], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 7535/31850496], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 13601/9437184], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1919/3317760], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 11929/23887872], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 7449/10485760], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 94943/424673280], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 6979/33177600], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 991273/3185049600], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 7456651/5096079360], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 359543/637009920], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 8303/13271040], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 167/3225600], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 37/1382400], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1423/3870720], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 119/1658880], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 457/2211840], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 2929/4147200], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 33/204800], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 5609/46448640], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1397/3870720], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1]], 361/7962624], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 2281/9289728], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 511/7962624], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 7/61440], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 167/725760], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 97/1244160], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1177/4423680], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 295/663552], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 4249/66355200], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 283/1843200], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 17/2211840], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 331/1720320], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 4531/19906560], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 2309/4644864], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 217/1990656], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 84949/63700992], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1393/1658880], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 11/41472], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 6191/29491200], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 4903/212336640], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 1], [12, 1]], 37/829440], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 6989/33177600], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 365417/424673280], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 6145/10616832], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 8849/26542080], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 2417/22118400], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1717/4147200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 19/82944], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 11903/298598400], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 43829/238878720], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 125/663552], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 1687/35831808], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 203/2211840], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 2551/7741440], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 1487/6635520], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1475/5308416], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 4283/11059200], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [12, 1]], 43/829440], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 501929/589824000], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 571/21233664], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1223/11059200], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 407/1179648], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 977/3096576], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [12, 1]], 533/9289728], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 36949/99090432], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 8761/42467328], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 2267/12902400], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 1247/11059200], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 3/57344], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 11/442368], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 4319/17694720], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 4483/84934656], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 277/6635520], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 805/14155776], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 60757/94371840], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 14039/17694720], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 11071/66355200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 571277/707788800], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 48553/141557760], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 2927/13271040], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1349/5529600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 19537/88473600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 588011/19818086400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 16367/165888000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 2543/796262400], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 122237/1300561920], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 131/3538944], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 4271/9175040], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 22073/318504960], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 27731/47185920], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 2060213/3185049600], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 172601/1911029760], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 172909/1061683200], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 107327/14269022208], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 36379/1592524800], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 73747/495452160], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 69154063/95126814720], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 1401077/2123366400], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 2188831/13377208320], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 9323/265420800], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 67997/331776000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 5453/39321600], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 57427/1238630400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 148543/891813888], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 68833/265420800], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 2743/106168320], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 981251/7431782400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 36011/98304000], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [12, 1]], 3979/265420800], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 103921/283115520], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 38653/1698693120], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 5329/106168320], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 129839/8493465600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 100529791/1712282664960], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 5920121/44590694400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 150109/21403533312], [[[1, 5], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/28800], [[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 5], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 5], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 5], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 11/368640], [[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 5], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 5], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/103680], [[[1, 5], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/13440], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/13440], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [14, 1]], 1/33600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/36000], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 7/2359296], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 5/129024], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [16, 1]], 1/18432], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 5/147456], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [14, 1]], 1/1032192], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 529/5898240], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [16, 1]], 19/245760], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 27/409600], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/25600], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 43/691200], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 1/21504], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 1/331776], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 271/11796480], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 361/17694720], [[[1, 6], [2, 1], [3, 1], [4, 2], [10, 1], [16, 1]], 1/368640], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 1], [16, 1]], 1/110592], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 17/645120], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 17/552960], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [14, 1]], 1/143360], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 11/1105920], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 89/28311552], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/497664], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [16, 1]], 7/2359296], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 103/3538944], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [10, 1]], 1/215040], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 5/129024], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 139/3538944], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [10, 1]], 1/184320], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 17/331776], [[[1, 6], [2, 1], [3, 1], [4, 3], [12, 1], [14, 1]], 1/387072], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 413/23592960], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 19/8847360], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [12, 1]], 19/1105920], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 11/6193152], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [10, 1]], 13/8847360], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 439/21233664], [[[1, 6], [2, 1], [3, 1], [4, 5], [5, 1], [6, 1]], 103/106168320], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 35/113246208], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 107/63700992], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 2], [10, 1]], 1/184320], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 1], [10, 1]], 1/48000], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 2]], 1/64512], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 11/368640], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [16, 1]], 1/18432], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 7/153600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 1/57600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/12096], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/56448], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/73728], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 2], [10, 1]], 1/245760], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 2], [12, 1]], 1/147456], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/46080], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/46080], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 11/884736], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [16, 1]], 1/221184], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 11/172032], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 5/96768], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 5/73728], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [14, 1]], 1/258048], [[[1, 6], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 7/124416], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 101/4423680], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [10, 1]], 1/184320], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 7/184320], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 13/2322432], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 1/110592], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 767/21233664], [[[1, 6], [2, 1], [3, 2], [4, 3], [10, 1], [12, 1]], 1/276480], [[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 17/4423680], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 13/7077888], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 1/69120], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 1], [10, 1]], 1/80640], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/30240], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/17280], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [14, 1]], 1/120960], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/172800], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [16, 1]], 1/55296], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 37/580608], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/36288], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 11/82944], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/31104], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 13/663552], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 1/138240], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 1/62208], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/48384], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/41472], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [10, 1]], 17/3317760], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [12, 1]], 5/248832], [[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 13/4976640], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 19/2654208], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 11/2985984], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 1], [10, 1]], 1/172800], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 1/72576], [[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/62208], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 1/259200], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 1/155520], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 1/217728], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/93312], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 1], [12, 1]], 1/331776], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 25/11943936], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/93312], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 1/311040], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/15680], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/102400], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/92160], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/22400], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 7/230400], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/129024], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/184320], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 79/860160], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/35840], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 6], [2, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/107520], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 13/1228800], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/122880], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 13/258048], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 11/1290240], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 7/1966080], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 303/3276800], [[[1, 6], [2, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/115200], [[[1, 6], [2, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 11/774144], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 23/14155776], [[[1, 6], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 91/35389440], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 3691/8847360], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 61/576000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 223/983040], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 41/345600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1579/3686400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 251/384000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 59/691200], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 8293/106168320], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 89/2949120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 1/124416], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1]], 1/186624], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 25/96768], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 1/10752], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 551/36864000], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 2653/14155776], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 713/7864320], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 167/4718592], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 1/13824], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 251/7372800], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 2], [12, 1]], 1/691200], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [16, 1]], 7/221184], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 143/516096], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 239/1105920], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 79/645120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 3049/11059200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 148313/283115520], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 23/7372800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 5/248832], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 1559/8847360], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 89/688128], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1]], 155/7962624], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 13/1032192], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 7/1327104], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 203/63700992], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 23/1990656], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 8209/12386304], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 731/5160960], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 817/3096576], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 3521/5308416], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 5/43008], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 9/81920], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 233/1327104], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/92160], [[[1, 6], [2, 3], [3, 1], [4, 2], [12, 1], [14, 1]], 1/24192], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 4399/79626240], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 26513/70778880], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1559/8847360], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 3491/13271040], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 2159/12386304], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 175/2654208], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 47/1327104], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [18, 1]], 205/15925248], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 32933/637009920], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 509/159252480], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 1033/17694720], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1843/17694720], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 53897/141557760], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 253/4423680], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 5231/53084160], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 324679/2264924160], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 2951/212336640], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 45781/318504960], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 19/147456], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 11/432000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [16, 1]], 19/92160], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 11/72576], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/19440], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/30240], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1]], 7/1244160], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 59/322560], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 83/201600], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [14, 1]], 13/322560], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/5400], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 43/230400], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 631/864000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 1/8064], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 19/169344], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [18, 1]], 1/10368], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 19/442368], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 23/884736], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [16, 1]], 1/276480], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 55/580608], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1]], 5/248832], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/580608], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 1/248832], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 23/322560], [[[1, 6], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 1/322560], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 5/248832], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 47/241920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 5/20736], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 31/115200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 575/1769472], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/230400], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 349/1769472], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 25/64512], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 11/62208], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 23/995328], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 19/746496], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/2688], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 23/161280], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 13/145152], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 97/221184], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 227/3096576], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 1/7680], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/80640], [[[1, 6], [2, 3], [3, 2], [4, 1], [12, 1], [14, 1]], 1/96768], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 671/3317760], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 5813/17694720], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 281/1228800], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 11/61440], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 565/1548288], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 685/1990656], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 155/2064384], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 11/884736], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 257/1179648], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 1925/11943936], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 277/1966080], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 139/589824], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 31/663552], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 4309/26542080], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 13339/42467328], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 205/5308416], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 25/98304], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 43/120960], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 23/51840], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 17/120960], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [18, 1]], 1/10368], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 37/276480], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 119/518400], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 19/115200], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 17/64512], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 23/120960], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 11/41472], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 5/31104], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 7/276480], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 359/1866240], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 349/3317760], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 127/1036800], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 13/311040], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 13/48384], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 5/15552], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 43/870912], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [18, 1]], 1/41472], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1937/5971968], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 59/1244160], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 229/2239488], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 23/414720], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 137/3981312], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 1], [12, 1]], 7/622080], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 23/165888], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 3575/10616832], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 47/622080], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 545/2985984], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 13/103680], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 49/194400], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1]], 41/1244160], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 133/2488320], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1141/11943936], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 53/1866240], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 61/1492992], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 3811/23592960], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 1/115200], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 29/491520], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/17280], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [12, 1]], 1/311040], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 11/17920], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1536], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 261/1433600], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/33600], [[[1, 6], [2, 3], [4, 1], [5, 1], [12, 1], [14, 1]], 1/40320], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 437/2457600], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 7/38400], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 11/230400], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 1/16128], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [18, 1]], 1/13824], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 107/4718592], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 37/2457600], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 121/14155776], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 31/44236800], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 151/3096576], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [10, 1]], 1/96768], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 173/860160], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 145/2064384], [[[1, 6], [2, 3], [4, 1], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 6], [2, 3], [4, 1], [8, 1], [12, 1], [14, 1]], 31/30965760], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/6720], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 143/5160960], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 31/2211840], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 127/3932160], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 23/4423680], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 443/16588800], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 189/327680], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 3383/8847360], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 2987/18432000], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 929/4128768], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1]], 1/32256], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 17/129024], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 739/41287680], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 59/5898240], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 31/46448640], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 31/19906560], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 599/176947200], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 259/17694720], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 103/3686400], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 43/221184], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 943/22118400], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 383/2949120], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 4897/212336640], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 11059/84934656], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 887/44236800], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 3/35840], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 31/201600], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [18, 1]], 1/69120], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200], [[[1, 6], [2, 3], [6, 1], [7, 1], [8, 1], [10, 1]], 1/35840], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 125/663552], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 2267/12902400], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 1247/11059200], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 977/3096576], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 7937/22118400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 1218181/1698693120], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 12721/110592000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 51053/141557760], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 2309/4644864], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 217/1990656], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 331/1720320], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 4531/19906560], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 43829/238878720], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 11903/298598400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 1687/35831808], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 36949/99090432], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 2551/7741440], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 3/57344], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 8761/42467328], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 407/1179648], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 1487/6635520], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 11/442368], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 203/2211840], [[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 533/9289728], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 6145/10616832], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 571277/707788800], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 14039/17694720], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 2927/13271040], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 689/917504], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 7535/31850496], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 18103/41287680], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 23/131072], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 365417/424673280], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 6989/33177600], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 8849/26542080], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 60757/94371840], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 48553/141557760], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 11071/66355200], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 359543/637009920], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 7456651/5096079360], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 991273/3185049600], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 8303/13271040], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 167/725760], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 97/1244160], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1397/3870720], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 7/61440], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 19/82944], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1717/4147200], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1349/5529600], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 2281/9289728], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1423/3870720], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 511/7962624], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 5609/46448640], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 361/7962624], [[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 119/1658880], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 167/3225600], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 37/1382400], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 2417/22118400], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1393/1658880], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 4319/17694720], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 4283/11059200], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 277/6635520], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 1681/3096576], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 725/1327104], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 1/2304], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 257/1990656], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 84949/63700992], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 295/663552], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 11/41472], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1475/5308416], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 4483/84934656], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 1], [12, 1]], 43/829440], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1919/3317760], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 13601/9437184], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 931/1769472], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 11929/23887872], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1177/4423680], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 2929/4147200], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 457/2211840], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 11473/59719680], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 43427/95551488], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 187/663552], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 3919/35831808], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 3347/15482880], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1609/7741440], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1289/6635520], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 6191/29491200], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 283/1843200], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [12, 1]], 37/829440], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 501929/589824000], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 805/14155776], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1223/11059200], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 10235/24772608], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 3511/15482880], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 635/9289728], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 30167/247726080], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 3083/35389440], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 139/4300800], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 79/3686400], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 23/1548288], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 5/442368], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 4249/66355200], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 4903/212336640], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 17/2211840], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 571/21233664], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 7449/10485760], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 215663/442368000], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 6979/33177600], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 239087/707788800], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 94943/424673280], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 31/345600], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 33/204800], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 17503/35389440], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 114659/849346560], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 813389/2654208000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 12299/796262400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 235261/743178240], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 14743/159252480], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 2359/4423680], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 35969/318504960], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 967087/1274019840], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1672421/3185049600], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 224123/1911029760], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 530219/1769472000], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 551101/25480396800], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 65347/1592524800], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 210049/424673280], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 3874399/2717908992], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 107957/132710400], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1133/3538944], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 116341/1061683200], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 269503/663552000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 191/1105920], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 39169/176947200], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 160307/318504960], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 277037/530841600], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 6187/79626240], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 164683/589824000], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 13879/29491200], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 9571/265420800], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 259679/849346560], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 268537/8493465600], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 4129/106168320], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 176119/2202009600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 75545809/407686348800], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 126075731/445906944000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 2405993/107017666560], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 2113/14745600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/115200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [16, 1]], 7/65536], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/57600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1247/3686400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 293/1152000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 53/691200], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 53/17694720], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [16, 1]], 11/26542080], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 25/96768], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 1/32256], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 17/12288000], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 227/7864320], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1]], 1361/117964800], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 37/4718592], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [16, 1]], 31/7372800], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [16, 1]], 1/221184], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 479/2580480], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 163/1105920], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [14, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 2237/22118400], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 11999/283115520], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/497664], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 73/3538944], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 37/6193152], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1]], 23/7962624], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 9259/41287680], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 167/5160960], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 319/3096576], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1159/5898240], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 271/20643840], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 7/245760], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 71/1327104], [[[1, 7], [2, 2], [3, 1], [4, 2], [10, 1], [14, 1]], 1/645120], [[[1, 7], [2, 2], [3, 1], [4, 2], [12, 1], [14, 1]], 1/193536], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 109/26542080], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 10241/70778880], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 757/22118400], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 5227/44236800], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 173/4644864], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 31/5308416], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [14, 1]], 1/589824], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 97/70778880], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [12, 1]], 127/26542080], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 197/17694720], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 4289/47185920], [[[1, 7], [2, 2], [3, 1], [4, 3], [10, 1], [12, 1]], 277/44236800], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 19129/1061683200], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 79171/6794772480], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 37/53084160], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 5659/318504960], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 263/7372800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [16, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/51840], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/77760], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 53/322560], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 7/28800], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 7/69120], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 1/21600], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 89/1382400], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 133/864000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 1/24192], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/169344], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [18, 1]], 1/72576], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [16, 1]], 1/442368], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 2], [10, 1]], 1/737280], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 1], [10, 1]], 1/46080], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 19/80640], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 1/3456], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [14, 1]], 1/32256], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/5120], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 319/7077888], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [16, 1]], 287/8847360], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/20736], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/31104], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 5/18432], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/13824], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 191/663552], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [14, 1]], 23/3096576], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 7/207360], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 7/124416], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 13/663552], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 6983/35389440], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 461/7372800], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 59/552960], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 299/3096576], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 341/3981312], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/294912], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [18, 1]], 5/2654208], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 41/3538944], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 161/11943936], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 4039/176947200], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 3781/53084160], [[[1, 7], [2, 2], [3, 2], [4, 2], [10, 1], [12, 1]], 23/3317760], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 3491/53084160], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 9859/212336640], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1]], 31/8847360], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 7957/159252480], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 43/120960], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 19/51840], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [14, 1]], 1/120960], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [18, 1]], 1/51840], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 7/207360], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/9216], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 1/120960], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 19/248832], [[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 1/155520], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 7/207360], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 23/221184], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 23/345600], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/25920], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 53/290304], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 23/124416], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [14, 1]], 1/96768], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 181/5971968], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/124416], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 11/829440], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 19/1327104], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 17/276480], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 13637/191102976], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1]], 1/331776], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 95/1990656], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 29/414720], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 49/777600], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 389/7464960], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 739/11943936], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 7/622080], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 31/1492992], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 467/14155776], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 11/1474560], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 33/71680], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 7/38400], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/11520], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [14, 1]], 43/4300800], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 27/819200], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 7/345600], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 31/70778880], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 31/70778880], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/44236800], [[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 11/3096576], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/40960], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 31/2064384], [[[1, 7], [2, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/30965760], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/15360], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 19/5160960], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [18, 1]], 1/737280], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 7/1843200], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 2069/36864000], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 733/7372800], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 671/55296000], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 89/1935360], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1]], 1/215040], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 11/387072], [[[1, 7], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/46448640], [[[1, 7], [2, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/19906560], [[[1, 7], [2, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 31/44236800], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 67/4423680], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/983040], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 457/33177600], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 169/212336640], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 697/84934656], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/23040], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/50400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 4343/99532800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 2923/7741440], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 1487/6635520], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 5357/25804800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 403/819200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 91199/283115520], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 57/4096000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 32971/212336640], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1807/7741440], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 851/19906560], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 611/23224320], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 125/3981312], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 1687/59719680], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 61/16588800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 137/19906560], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 7243/14155776], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 2987/12902400], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 383/4644864], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 8761/42467328], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 15277/123863040], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 1247/11059200], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 11/442368], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 499/25804800], [[[1, 7], [2, 4], [3, 1], [4, 1], [12, 1], [14, 1]], 277/15482880], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 13223/53084160], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 654857/707788800], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 3287/5898240], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 3407/13271040], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 23729/41287680], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 4109/31850496], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 403/3538944], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 719/17694720], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 91519/424673280], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 3533/132710400], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 299/2949120], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1195/4718592], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 25507/106168320], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 3647/66355200], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 150883/353894400], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 979999/1698693120], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 16817/212336640], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 30293/106168320], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1151/2903040], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 109/1244160], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 413/2764800], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [18, 1]], 41/552960], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 2521/22118400], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 4111/41472000], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 9059/55296000], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 55/258048], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 29/184320], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 95/2654208], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 173/7741440], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 139/13271040], [[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 29/1658880], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 31/9676800], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 11/4147200], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 527/33177600], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 1241/1990656], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 7309/17694720], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 4709/11059200], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 529/6635520], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 3257/4644864], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 725/1327104], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 883/5806080], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 49/737280], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 34919/63700992], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 731/8294400], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 6601/59719680], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 4369/26542080], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 51/1048576], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1]], 203/8294400], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 17749/26542080], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 141871/141557760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 6163/33177600], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 20149/59719680], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 119/414720], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1417/2764800], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 5353/66355200], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 3799/9953280], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 47107/95551488], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 9821/59719680], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1333/11943936], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1103/5160960], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 457/7741440], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 253/3686400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 677/9830400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1843/82944000], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1]], 397/24883200], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 36859/98304000], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 3353/70778880], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 2441/55296000], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 5521/24772608], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 6107/77414400], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 5/147456], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 3487/247726080], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1229/106168320], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 31/38707200], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 31/33177600], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 31/23224320], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 31/19906560], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 743/132710400], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 2353/637009920], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 31/99532800], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 3007/530841600], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 119561/353894400], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 57259/442368000], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1291/11059200], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 20309/330301440], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 6857/106168320], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 479/33177600], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 3/64000], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 277037/530841600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 259679/849346560], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 13879/29491200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 4129/106168320], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 2359/4423680], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 35969/318504960], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 235261/743178240], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 14743/159252480], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 160307/318504960], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 39169/176947200], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 6187/79626240], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 164683/589824000], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 268537/8493465600], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 9571/265420800], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 107957/132710400], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 3874399/2717908992], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 210049/424673280], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 1133/3538944], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 191/1105920], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 269503/663552000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 116341/1061683200], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 1672421/3185049600], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 967087/1274019840], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 17503/35389440], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 224123/1911029760], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 530219/1769472000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 813389/2654208000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 65347/1592524800], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 114659/849346560], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 551101/25480396800], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 12299/796262400], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 10861537/49545216000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 7213219/22295347200], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 2346173/7077888000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 250997/6370099200], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/23040], [[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 7], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 7], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 173/14745600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [16, 1]], 139/14745600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 347/4096000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 11/1152000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 11/691200], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/13824], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 1/225792], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 31/23592960], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 2], [10, 1]], 71/117964800], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 2], [12, 1]], 1/1572864], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 163/5160960], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 31/2211840], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 47/7372800], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 151/283115520], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [16, 1]], 1/3932160], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 293/13762560], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 277/15482880], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 59/5898240], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [14, 1]], 11/20643840], [[[1, 8], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1]], 31/19906560], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 5921/353894400], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1]], 23/14745600], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 103/4915200], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 61/37158912], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 1/1769472], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 22241/2972712960], [[[1, 8], [2, 1], [3, 1], [4, 3], [10, 1], [12, 1]], 1/1638400], [[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 173/353894400], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 1729/6794772480], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [12, 1]], 61/106168320], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 23/7372800], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 11/322560], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/69120], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 11/1382400], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 1], [10, 1]], 1/322560], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/10080], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1/8640], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [14, 1]], 1/161280], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/76800], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2]], 1/786432], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [16, 1]], 11/4423680], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 443/7741440], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/161280], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/96768], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 271/6635520], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 1/207360], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 1/124416], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1043/35389440], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/294912], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 343/16588800], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 31/3096576], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 7/1327104], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [10, 1]], 259/176947200], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [12, 1]], 361/53084160], [[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 143/53084160], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 43/26542080], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 247/159252480], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/8640], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/12960], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 1], [10, 1]], 1/230400], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/193536], [[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 1/248832], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 145/3981312], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 1/172800], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 1/103680], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/124416], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 1], [12, 1]], 37/13271040], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 7/552960], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 353/191102976], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 11/1990656], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 1/207360], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 23/7464960], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 7/995328], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 1/1492992], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 73/70778880], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1289/12902400], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 8], [2, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/345600], [[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/70778880], [[[1, 8], [2, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/70778880], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 31/30965760], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 161/147456000], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 19/3686400], [[[1, 8], [2, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 11/7741440], [[[1, 8], [2, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/44236800], [[[1, 8], [2, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 89/66355200], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/161280], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 143/99532800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 427/1105920], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 1289/6635520], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 1427/25804800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 10411/36864000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 119533/1981808640], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 7/12288000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 63/2621440], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 53/1290240], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 37/6635520], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/2322432], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 1/2211840], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 161/159252480], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 11/59719680], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 26629/82575360], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 817/12902400], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 257/4644864], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 3083/35389440], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 13357/867041280], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 79/3686400], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 5/442368], [[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 7/3686400], [[[1, 8], [2, 3], [3, 1], [4, 1], [12, 1], [14, 1]], 1/573440], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1003/26542080], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 343163/707788800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 21007/147456000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 47/345600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 4331/24772608], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 4973/159252480], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 479/41287680], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 13/10616832], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 8891/424673280], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 59/44236800], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 9991/836075520], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 257/5898240], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 3743/53084160], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 487/58060800], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 116011/1061683200], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 971099/11890851840], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1499/212336640], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 41329/743178240], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 559/1935360], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 31/829440], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 83/3870720], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [18, 1]], 139/8294400], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 563/22118400], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 331/41472000], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 133/3072000], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 11/143360], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 457/19353600], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 7/884736], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/860160], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [18, 1]], 1/1474560], [[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 31/24883200], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 19/33177600], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1901/12441600], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 791/2457600], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 547/2764800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 83/1327104], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 251/645120], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 4531/19906560], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 101/4644864], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [18, 1]], 61/6635520], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 2741/35389440], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 67/16588800], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1057/59719680], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 3497/88473600], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 3863/212336640], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1]], 23/8294400], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 13607/44236800], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 34219/141557760], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 2377/88473600], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 7289/79626240], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 377/2764800], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 5771/41472000], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1]], 919/66355200], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 763/2488320], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 54253/238878720], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 9433/298598400], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 2921/59719680], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 421/5160960], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1]], 43/7741440], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [18, 1]], 23/3686400], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 287/33177600], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 191/165888000], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 37/24883200], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 18277/294912000], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 811/58982400], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 271/55296000], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1223/24772608], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 797/77414400], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 23/3096576], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 211/462422016], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1429/2972712960], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/38707200], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/33177600], [[[1, 8], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/23224320], [[[1, 8], [2, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/19906560], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 4453/17836277760], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/99532800], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 2717/4954521600], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 5591/88473600], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 4507/442368000], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1883/66355200], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 919/330301440], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 59/8847360], [[[1, 8], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 247/55296000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 68833/265420800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 103921/283115520], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 36011/98304000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 5329/106168320], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 4271/9175040], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 22073/318504960], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 122237/1300561920], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 131/3538944], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 148543/891813888], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 57427/1238630400], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 2743/106168320], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 981251/7431782400], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 38653/1698693120], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1]], 3979/265420800], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1401077/2123366400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 69154063/95126814720], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 73747/495452160], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 2188831/13377208320], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 5453/39321600], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 67997/331776000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 9323/265420800], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 2060213/3185049600], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 27731/47185920], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 19537/88473600], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 172601/1911029760], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 172909/1061683200], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 16367/165888000], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 36379/1592524800], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 588011/19818086400], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 107327/14269022208], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 2543/796262400], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 2346173/7077888000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 7213219/22295347200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 10861537/49545216000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 250997/6370099200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 451/2580480], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 253/3686400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1]], 139/25804800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 201/4096000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 10453/2642411520], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1]], 551/660602880], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 29/11612160], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 6877/82575360], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 97/12902400], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 97/7741440], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1229/106168320], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1]], 463/867041280], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 31/33177600], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 31/19906560], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 11/13271040], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 449663/4954521600], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 529/49152000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 289/11059200], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 383/24772608], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 443/159252480], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/5898240], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [18, 1]], 1/17694720], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/2949120], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 163/836075520], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 60041/19818086400], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 48197/5945425920], [[[1, 9], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1]], 71/116121600], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1013/117964800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1189/283115520], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1]], 13/88473600], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 18341/4459069440], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 773/9676800], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 1/276480], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1]], 1/2150400], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1]], 1/921600], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 29/16588800], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 23/4608000], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 31/3096576], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 1/716800], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 31/39813120], [[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 1/24883200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 143/16588800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 7/65536], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 77/2764800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 25/1327104], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 3037/46448640], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 125/3981312], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [14, 1]], 11/7741440], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 439/318504960], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 11/9953280], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 11/3276800], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 619/212336640], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 247/7372800], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 137083/8918138880], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1]], 157/265420800], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 5713/557383680], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1483/66355200], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 13/1296000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1]], 11/11059200], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 24619/298598400], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 1999/59719680], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 23/8294400], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 43/6635520], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 803/77414400], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 19/66355200], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 24281/8257536000], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 277/176947200], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 11/3538944], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 31/46448640], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 17/1387266048], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 29/2972712960], [[[1, 9], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 47/5945425920], [[[1, 9], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 17/990904320], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 18497/3963617280], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/36864000], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 31/13271040], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 4651/17836277760], [[[1, 9], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/66355200], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 309787/5573836800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 108907/471859200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 105757/774144000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 2843/88473600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 7549/37158912], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 3079/159252480], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 25453/2080899072], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1723/297271296], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 89549/3567255552], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 59431/14863564800], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 111533/26754416640], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 32123/1061683200], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 12779/1698693120], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1]], 18293/7431782400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1822771/7431782400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 11200153/63417876480], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 124997/5945425920], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 218623/5350883328], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 14501/265420800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 5263/110592000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 79873/14863564800], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 211763/530841600], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 1005773/4459069440], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 241589/5573836800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 3619/106168320], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 8951/212336640], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 59923/4128768000], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1579/265420800], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 54431/19818086400], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 295/226492416], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 6751/22295347200], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 126075731/445906944000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 75545809/407686348800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 176119/2202009600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 2405993/107017666560], [[[1, 9], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/2457600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 19/860160], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 23/3686400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1]], 1/2867200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 53/36864000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2]], 157/2642411520], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1]], 29/1981808640], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 54581/6936330240], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/1843200], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/1105920], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1429/2972712960], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/33177600], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/19906560], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 15341/4954521600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/9830400], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 499/232243200], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 13/30965760], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1]], 1241/19818086400], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 1493/5945425920], [[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 13/70778880], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 403/11890851840], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 55/891813888], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 29/4838400], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1]], 1/4096000], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/2211840], [[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/39813120], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 23591/1857945600], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 11/11059200], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 11/6635520], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 11/9289728], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 1/2211840], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1]], 89/396361728], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 7/4423680], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 1759/8918138880], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 137/278691840], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 11/13271040], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 469/298598400], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 59/53084160], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 11/59719680], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 53/77414400], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 29/1651507200], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1207/14863564800], [[[1, 10], [2, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/46448640], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1597/19818086400], [[[1, 10], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 23/3567255552], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 105991/22295347200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 1403807/19818086400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 36419/1769472000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 277/29491200], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 5059/128450560], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 311/159252480], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1361/2601123840], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 383/1486356480], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 10409/7644119040], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 179/2972712960], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 7883/26754416640], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 2291/743178240], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 82531/71345111040], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 989/7431782400], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 344147/9909043200], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 3366337/190253629440], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1457/1274019840], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1031/222953472], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 16427/1651507200], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 40931/9289728000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 1321/3715891200], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 133411/1238630400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 174101/4459069440], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 83039/22295347200], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 25279/4459069440], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 34679/7431782400], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 91/106168320], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 211/265420800], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 97283/891813888000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 7337/71345111040], [[[1, 10], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 199/22295347200], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 5920121/44590694400], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 100529791/1712282664960], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 129839/8493465600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 150109/21403533312], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1037/7431782400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 65057/6606028800], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 3071/2654208000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 25759/22295347200], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 21769/7803371520], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 1207/13377208320], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1]], 29/3468165120], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 29/1911029760], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 29/4459069440], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 11/116121600], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 851/10192158720], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 22367/14863564800], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 3680321/8561413324800], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 59/3567255552], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 3413/16721510400], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 8773/11147673600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1283/9289728000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1]], 29/4954521600], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 85409/8918138880], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 6719/2548039680], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 989/7431782400], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 3313/8918138880], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1247/7431782400], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 31/7431782400], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1207/22295347200], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 2063/891813888000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 191/71345111040], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 5641297/178362777600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 20684777/2140353331200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 548567/382205952000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 12203/10701766656], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 477359/891813888000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1063/37158912000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1063/22295347200], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1063/31213486080], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 31/13377208320], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 49/16986931200], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 577/29727129600], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 32171/8561413324800], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 379/133772083200], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1063/44590694400], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 4429/44590694400], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 187/5945425920], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 47/8918138880], [[[1, 12], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 31/22295347200], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 3045583/891813888000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1606391/2140353331200], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 156587/2675441664000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 24443/267544166400], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 374681/2675441664000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 191297/8561413324800], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 323/445906944000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 67/21403533312], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 3497/2675441664000], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 437/2853804441600], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 19/535088332800], [[[2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[2, 3], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/46080], [[[2, 3], [4, 3], [6, 1], [8, 1], [12, 1], [14, 1]], 1/32256], [[[2, 3], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/28800], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[2, 5], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/48384], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/103680], [[[2, 5], [4, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/13440], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 11/368640], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/23040], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560], [[[2, 7], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/193536], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/138240], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2457600], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3], [12, 1]], 1/36864], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 17/1769472], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 1], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 5/129024], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/110592], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/110592], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/110592], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/24576], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/122880], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/24576], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/23040], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/96768], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/48384], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 5/110592], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/207360], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 37/8847360], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 7/442368], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/51200], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/28800], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/18432], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/23040], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/69120], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/19200], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/23040], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/57600], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 7/122880], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/442368], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 41/2211840], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/442368], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/23040], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/43200], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/10752], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/24192], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/72576], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 17/774144], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 11/663552], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/24192], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 19/1105920], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/55296], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 17/2211840], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 35/3538944], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 7/331776], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 43/161280], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2160], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/27648], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/27648], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 37/1843200], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/276480], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 17/184320], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/483840], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/290304], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 23/1105920], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/6635520], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/207360], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 401/88473600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 29/26542080], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 23/2764800], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/3686400], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 139/22118400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23/44236800], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 29/2972712960], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3686400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3], [12, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 2], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 2], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 17/1769472], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/96000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/43008], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 1/18432], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 7/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 7/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/40960], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 19/36864], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 31/73728], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/31104], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/124416], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 17/368640], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/86016], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 1/110592], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/36864], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 1/110592], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/12096], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 47/663552], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/12288], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 17/2949120], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/138240], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 11/1105920], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/36864], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/69120], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/72576], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/20736], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/207360], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 17/663552], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 3/25600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/19200], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/96000], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/8064], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/18432], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/13440], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/23040], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/69120], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3200], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/23040], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/36864], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9600], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 3/40960], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 23/144000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/276480], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 13/1244160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 11/259200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/32256], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/9408], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 17/76800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 37/442368], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 359/2211840], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/442368], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 23/92160], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/82944], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 13/27648], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 37/41472], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 17/120960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/5184], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 13/72576], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/5184], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 19/414720], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 13/248832], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 7/155520], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/32256], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/10752], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/35840], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/184320], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 7/115200], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/103680], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 11/368640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 11/322560], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/290304], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 221/774144], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 137/663552], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/124416], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/10752], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 23/96768], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 163/1105920], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23/110592], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 17/103680], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 47/276480], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 151/13271040], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 3/102400], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/69120], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 223/1474560], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 2573/10616832], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 353/1658880], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1575], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/172800], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/12096], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 7/414720], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/165888], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/25920], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 7/165888], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/8960], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/11520], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 67/230400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/69120], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 3/8960], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1920], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/9216], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 11/138240], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 103/460800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/276480], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 59/345600], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 7/20480], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/80640], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/1327104], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 19/345600], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/1024000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/66355200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 31/15482880], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 11/6635520], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 709/3096576], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 43/1327104], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 167/483840], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/103680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 13/290304], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 359/1105920], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 109/4423680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 19/207360], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 19/2211840], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 19/5898240], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/49152], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/414720], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 6013/44236800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 95/2654208], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 919/8294400], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/691200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 67/6635520], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 17/13271040], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 457/3686400], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/11059200], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 211/4423680], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 757/1857945600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 161/55296000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1279/29491200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 2437/2972712960], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 17/2211840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/69120], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/96000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 3/25600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/19200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/9216], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 19/36864], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/40960], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 31/73728], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/31104], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 3/40960], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 1/110592], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/86016], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 1/110592], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/20736], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 17/663552], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 11/1105920], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 17/2949120], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/36864], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/110592], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 7/110592], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 7/110592], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/69120], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/115200], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/96768], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/41472], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/72576], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/20736], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 47/663552], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/124416], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/30720], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/19200], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/13440], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/96000], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/18816], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/8064], [[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/13440], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3200], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/16128], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 17/368640], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 199/737280], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 19/48000], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 43/276480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 17/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/5184], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 31/1244160], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 11/259200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/16800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 11/161280], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/4800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 1/20160], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/25600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 17/72000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 5/28224], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/12096], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 19/76800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 289/737280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/110592], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 11/30720], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 5/32256], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/12096], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/36288], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 11/82944], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 85/193536], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 37/41472], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/31104], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/5184], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 7/414720], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 19/248832], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/25920], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/4608], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2160], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 5/64512], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 7/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 73/368640], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 91/691200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 7/51840], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 17/36864], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 49/552960], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 23/115200], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 43/129024], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 37/322560], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 43/290304], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 5/73728], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 37/64512], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 19/73728], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7/124416], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 11/32256], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 5/41472], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 43/276480], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 29/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 17/103680], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 13/46080], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1597/13271040], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/552960], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 61/552960], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1117/4423680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 4903/5308416], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 53/184320], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1575], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/43200], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/30240], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8100], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/155520], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/24192], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 5/27648], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 13/82944], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/9072], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 37/414720], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 107/497664], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 7/155520], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 7/207360], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 7/276480], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 49/691200], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 67/368640], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 61/165888], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/57600], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/155520], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/1920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 77/230400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 7/86400], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/57600], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/8960], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 5/64512], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 7/138240], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 13/20480], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/46080], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 37/115200], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 187/552960], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 37/241920], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 7/103680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 911/6635520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 173/345600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/103680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 2921/18432000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 31/66355200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 41/737280], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 47/241920], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/145152], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 271/6635520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 3139/3096576], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 295/1327104], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/124416], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 31/53760], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 11/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 19/96768], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/41472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 461/552960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 373/2654208], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 49/207360], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 143/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/196608], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 653/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 13/331776], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 17359/17694720], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 773/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 37/82944], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 179/691200], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 19/1105920], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/12960], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/622080], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1183/6635520], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1321/39813120], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/9720], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 37/46080], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 251/11059200], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 49/345600], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 613/4423680], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 31963/1857945600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 641/6144000], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 49/33177600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 32689/88473600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1349/106168320], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 2161/33177600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/51200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/28800], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 5/129024], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/122880], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/24576], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/24576], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/61440], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 7/122880], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/57600], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/20736], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 37/8847360], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 7/442368], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/115200], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/96768], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/41472], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/207360], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 5/110592], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/103680], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/124416], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/30720], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/13440], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/19200], [[[1, 4], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 289/737280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 17/72000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 11/30720], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/15120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/155520], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8960], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/8960], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/16800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 1/20160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 19/76800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 19/48000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 5/28224], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/25600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 199/737280], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/110592], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 43/276480], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 5/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/9072], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 13/82944], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/31104], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 5/64512], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/10080], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10752], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 37/322560], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 67/368640], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 49/691200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/6480], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 13/20480], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 187/552960], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 37/115200], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 37/64512], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 11/32256], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 19/73728], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 43/129024], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 5/73728], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 7/138240], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 5/41472], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 43/290304], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7/124416], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 7/276480], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 61/165888], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 7/46080], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1117/4423680], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/552960], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 53/184320], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1597/13271040], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 4903/5308416], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 61/552960], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1575], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/57600], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/8640], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 37/414720], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8100], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 7/155520], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 77/230400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 7/138240], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 7/86400], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 85/193536], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 17/120960], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 37/41472], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 5/32256], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 11/82944], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/5184], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/36288], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 107/497664], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/155520], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 43/276480], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 91/691200], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 17/103680], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 73/368640], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 29/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 7/51840], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/43200], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 7/414720], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 11/259200], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/25920], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 31/1244160], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 19/248832], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/155520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/4608], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2160], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/10080], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 7/207360], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/43200], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/57600], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 11/161280], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 5/64512], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 17/36864], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 13/46080], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 23/115200], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 49/552960], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/120960], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/207360], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 19/34560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 5/20736], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 41/73728], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 13/14400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 13/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 2779/3686400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 133/4423680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 47/345600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 401/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/1728], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 13/145152], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 191/663552], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1943/1548288], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 97/221184], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 7/124416], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/32256], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 23/96768], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 617/829440], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 37/147456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 43/207360], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 71/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 3769/5898240], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 209/221184], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 391/1658880], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 3041/2211840], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 601/589824], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 5/9216], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 83/115200], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 767/3317760], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 277/518400], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 37/622080], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 131/221184], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 329/1990656], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 31/155520], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 263/204800], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 47/663552], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 83/345600], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 559/4423680], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1927/9830400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13001/18432000], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 679/33177600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 294739/265420800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 97/1310720], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 85/442368], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 359/2211840], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 23/92160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 3/8960], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/4800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/1920], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 17/76800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 23/144000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/9408], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 37/442368], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/442368], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/276480], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/12096], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10752], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/23040], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 11/322560], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 103/460800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 7/20480], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 59/345600], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 221/774144], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/35840], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 23/96768], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 137/663552], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/290304], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/124416], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 7/165888], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 7/276480], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 223/1474560], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 3/102400], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 353/1658880], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 151/13271040], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 2573/10616832], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1575], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 17/120960], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/5184], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/414720], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/25920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 67/230400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 11/138240], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 13/27648], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 13/72576], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 37/41472], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/165888], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 163/1105920], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 7/115200], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 17/103680], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/184320], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 23/110592], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/103680], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/172800], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 19/414720], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 11/259200], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 7/155520], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/1244160], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 13/248832], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/51840], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/32256], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/368640], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 47/276480], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/32256], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/1728], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 131/221184], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 277/518400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 31/155520], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 263/204800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 559/4423680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 83/345600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1943/1548288], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 19/34560], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 23/96768], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 97/221184], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 401/774144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 191/663552], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 5/20736], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/120960], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/207360], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 13/145152], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 7/124416], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 767/3317760], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 329/1990656], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 37/622080], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 47/663552], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 3041/2211840], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 209/221184], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 5/9216], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 3769/5898240], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 601/589824], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 391/1658880], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 83/115200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 617/829440], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 13/14400], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 43/207360], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 41/73728], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 37/147456], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 13/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 2779/3686400], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 71/663552], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 47/345600], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 133/4423680], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23569/29491200], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 56341/33177600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 2207/19906560], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 74519/53084160], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 109039/637009920], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 901/3981312], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 41/2211840], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/23040], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 43/161280], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/16800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2160], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/43200], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/442368], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/442368], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 37/1843200], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 17/184320], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 17/774144], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 11/663552], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 17/2211840], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 7/331776], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 35/3538944], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/20160], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/24192], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/46080], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/72576], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 19/1105920], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/110592], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/155520], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 31/53760], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 11/69120], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 47/241920], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1183/6635520], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/12960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/9720], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 37/46080], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 613/4423680], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 49/345600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 3139/3096576], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 37/241920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 19/96768], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 295/1327104], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 41/737280], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 271/6635520], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 7/103680], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/41472], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/241920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/124416], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 19/1105920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1321/39813120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/622080], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 251/11059200], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 17359/17694720], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 653/2211840], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 37/82944], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/196608], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 773/2211840], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 13/331776], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 179/691200], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 461/552960], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 173/345600], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 49/207360], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 911/6635520], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 373/2654208], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/103680], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 2921/18432000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 143/2211840], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/43200], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 31/66355200], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 74519/53084160], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 56341/33177600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 901/3981312], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23569/29491200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 109039/637009920], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 2207/19906560], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 167/483840], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/103680], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 67/6635520], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/51840], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 457/3686400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 211/4423680], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 709/3096576], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 13/290304], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 43/1327104], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 31/15482880], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 11/6635520], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 17/13271040], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 31/11059200], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 6013/44236800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/49152], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 919/8294400], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 19/5898240], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 95/2654208], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/414720], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/691200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 359/1105920], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 19/345600], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 19/207360], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/1327104], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 109/4423680], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/1024000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 19/2211840], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/66355200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 294739/265420800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13001/18432000], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 85/442368], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1927/9830400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 97/1310720], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 679/33177600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/483840], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/103680], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/3686400], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 139/22118400], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/172032], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/290304], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 401/88473600], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 23/2764800], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 29/26542080], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/1105920], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/207360], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/6635520], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 32689/88473600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 641/6144000], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 2161/33177600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 31963/1857945600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1349/106168320], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 49/33177600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1279/29491200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 161/55296000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 17/2211840], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 757/1857945600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 2437/2972712960], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23/44236800], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3686400], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 29/2972712960], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/6912], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/103680], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/38400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/414720], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5120], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/103680], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 199/115200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 43/414720], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 37/138240], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 199/115200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 37/138240], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/43200], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 43/414720], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/38400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5120], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/414720], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560] ]}